Explore topic-wise InterviewSolutions in Current Affairs.

This section includes 7 InterviewSolutions, each offering curated multiple-choice questions to sharpen your Current Affairs knowledge and support exam preparation. Choose a topic below to get started.

1.

Point where spring oscillates with maximum amplitude is called A. node B. antinode C. fixed end D. movable end

Answer»

B. antinode.

2.

In a stationary wave, nodes are at A. fixed points B. movable points C. there are no nodes D. random points

Answer»

A. fixed points

3.

An instrument commonly used for the measurement of atmospheric pressure is known as A. Manometer B. Barometer C. Calorimeter D. Potentiometer

Answer»

B. Barometer

4.

Correct example of vector quantities could be A. Distance and Speed B. Displacement and Velocity C. Distance and Displacement D. Speed and Velocity

Answer»

B. Displacement and Velocity

5.

Phase difference between a node and an antinode is A. 90° B. 45° C. 180° D. 360°

Answer»

The Correct option is C. 180°

6.

Our weight, as measured by the spring weighing machine is equivalent of A. The total gravitational force that Earth exerts on us B. The total centripetal force required to keep us moving on Earth's axis C. The total gravitational force that Earth exerts on us + The total centripetal force required to keep us moving on Earth's axis D. The total gravitational force that Earth exerts on us - The total centripetal force required to keep us moving on Earth's axis

Answer»

D. The total gravitational force that Earth exerts on us - The total centripetal force required to keep us moving on Earth's axis

7.

There are eight bags of rice looking alike, seven of which have equal weight and one is slightly heavier. The weighing balance is of unlimited capacity. Using this balance, the minimum number of weighings required to identify the heavier bag is1. 22. 33. 44. 85.

Answer» Correct Answer - Option 1 : 2

Explanation:

Divide 8 bags into three parts.

2,2 and 4 respectively.

If we compare the 2,2 bags on pans of a balance.

We can identify which side is the lighter bag placed.

And then we will need only one more weighing for identifying the faulty bag.

So only two weighings are required.

Alternative solution:

In the case of a weighing balance (i.e. beam balance) the following model can be observed.

1 - 3 → 1 weighing required

4 - 9 → 2 weighings required

10 - 27 → 3 weighings required

28 - 81 → 4 weighings required

And the process will go so on.

As there are eight objects. The minimum number of weighings required will be only 2.

8.

When the building does not have closely-spaced modes of vibration, then _______ method has good accuracy in estimating the peak response quantities like member forces, storey forces, storey shears and base reactions.1. Complete Quadratic Combination2. Square Root of Sum of Squares3. Absolute Sum4. Double Sum Combination

Answer» Correct Answer - Option 2 : Square Root of Sum of Squares

Concept: -

1) As per IS 1893 (Part 1): 2016, cl. 3.1, closely spaced modes of a structure are those natural modes whose natural frequencies differ from each other by less than 10%.

2) As per IS 1893 (Part 1): 2016, cl. 7.7.5.3, If building does not have closely-spaced modes, then net peak response quantity can be calculated by Square Root of Sum of Squares method.

\(\lambda = \sqrt {\mathop \sum \limits_{k = 1}^{{N_m}} {{\left( {{\lambda _k}} \right)}^2}} \)

Here,

λk = peak response quantity in mode k,

Nm = Number of modes considered.
9.

When two forces of magnitude P and Q are perpendicular to each other, their resultant is of magnitude R. When they are at an angle of `180^(@)` to each other, their resultant is of magnitude `(R )/(sqrt2)`. Find the ratio of P and Q.A. `sqrt3 +- 2`B. `2 +- sqrt3`C. `3 +- sqrt5`D. `5 +- sqrt3`

Answer» Correct Answer - B
`P^(2) + Q^(2) = R^(2)` ….(i)
`|P - Q| = (R )/(sqrt2)` ….(ii)
Squaring (2). `P^(2) + Q^(2) - 2PQ = (R^(2))/(2)` …..(iii)
from (1) & (3)
`2PQ = (R^(2))/(2)`
`P^(2) + Q^(2) = R^(2) = 4PQ`
`P^(2) - 4PQ + Q^(2) = 0`
`(P^(2))/(Q^(2)) - (4P)/(Q) + 1 = 0`
`(P)/(Q) = (4 +- 2 sqrt3)/(2) = 2 +- sqrt3`
10.

A motorist and a scooterist made a journey of 120 km at the same time and from the same place. The graph shows the progress of the journey made by each person. Study the graph and answer the question. मोटर साइकिल चालक प्रारंभ से कितनी दूरी पर स्कूटर चालक से मिला । (km में)A. 75B. 70C. 90D. 80

Answer» 80, it clear from the graph
11.

Classify the quantities displacement, mass, force, time, speed, velocity, acceleration, moment of intertia, pressure and work under the following catagories: (a) base and scalar (b) base and vector (c) derived and scalar (d) derived and vector

Answer» (a) mass, time (b) displacement (c) speed, pressure, work (d) force, velocity, acceleration
12.

While measuring acceleration due to gravity by simpe pendulum a student makes a positive error of 1% in the length of the pendulum and a negative error of 3% in the value of the time period. His percentage error in the measurement of the value of g will be -A. `5%`B. `7%`C. `4%`D. `2%`

Answer» Correct Answer - B
`T=2pil^(1//2) g^(-1//2)`
`g=4pi^2T^(-2) l % (Deltag)/g=(2DeltaT)/T+(Deltal)/l`
`%Deltag=2% DeltaT+%l`
`%Deltag`=6 +1 = 7%
13.

Two equal forces (P each) act at a point inclined to each other at an angle of `120^@`. The magnitude of their resultant isA. `P//2`B. `P//4`C. PD. 2P

Answer» Correct Answer - C
The resultant force or two equal forces
`sqrt(P^(2) +P^(2) +2P P cos 120^(@))`
` = sqrt( 2P^(2) + 2P^(2) xx (-(1)/(2)))`
`= sqrt(2P^(2) - P^(2)) = sqrt(P^(2)) = P`
14.

A feather and a lead ball are dropped from rest in vacuum on the Moon. The acceleration of the feather is: A. more than that of the lead ball B. the same as that of the lead ball C. less than that of the lead ball D. 9.8 m/s2 E. zero since it floats in a vacuum

Answer»

B. the same as that of the lead ball

15.

The length of a cylinder is measured with a meter rod having least count `0.1 cm`. Its diameter is measured with Vernier calipers having least count `0.01 cm`. Given that length is `5.0 cm` and radius is ` 2 cm`. Find the percentage error in the calculated value of the volume.A. `1%`B. `2%`C. `3%`D. `4%`

Answer» Correct Answer - C
Volume of cylinder `V=pir^2l`
Percentage error in volume
`(triangleV)/(V)xx100=(2triangler)/(r )xx100+(trianglel)/(l)xx100`
`=(2xx(0.01)/(2.0)xx100+(0.1)/(5.0)xx100)=(1+2)%=3%`
16.

In an experiment , the following observations were recorded: `L = 2.820 m , M = 3.00 kg , l = 0.087 cm , diameter , D = 0.041 cm`. Taking ` g = 9.81 m s^(-2)` and using the formula , `Y = ( 4MgL)/( pi D^(2) l)` , find the maximum permissible error in `Y`.A. `7.96%`B. `4.56%`C. `6.50%`D. `8.42%`

Answer» Correct Answer - C
`Y=(4MgL)/(piD^2l)` so maximum permissible error in Y
`(triangleY)/(Y)xx100=((triangleM)/(M)+(triangleg)/(g)+(triangleL)/(L)+(2triangleD)/(D)+(trianglel)/(l))xx100`
`=((1)/(300)+(1)/(981)+(1)/(2820)+2xx(1)/(41)+(1)/(87))xx100`
`=0.065xx100=6.5%`
17.

A block of mass `m` lies on a horizontal frictionless surface and is attached to one end of a horizontal spring (with spring constant `k`) whose other end is fixed . The block is intinally at rest at the position where the spring is unstretched `(x=0)`. When a constant horizontal force `vec(F)` in the positive direction of the `x-`axis is applied to it, a plot of the resulting kinetic energy of the block versus its position `x` is shown in figure. What is the magnitude of `vec(F)` ? A. 2NB. 4NC. 8ND. 16N

Answer» Correct Answer - A
18.

A block of mass `m` lies on a horizontal frictionless surface and is attached to one end of a horizontal spring (with spring constant `k`) whose other end is fixed . The block is intinally at rest at the position where the spring is unstretched `(x=0)`. When a costant horizontal force `vec(F)` in the positive direction of the `x-`axis is applied to it, a plot of the resulting kinetic energy of the block verus its position `x` is shown in figure. What is the magnitude of `vec(F)` A. `2N`B. `4N`C. `8N`D. `16N`

Answer» Correct Answer - C
At equilibrium, F=kx &
`Fx-(1)/(2)kx^(2)=DeltaK.E.=4`
here x=1m {i.e. mean position}
19.

The linear momentum of a particle is given by `vec(P)=(a sin t hati- acos t hatj) kg- m//s`. A force `vec(F)` is acting on the particle. Select correct alternative/s:A. Linear momentum `vec(P)` of particle is always parallel to `vec(F)`B. Linear momentum `vec(P)` of particle is always perpendicular to `vec(F)`C. Linear momentum `vec(P)` is always constantD. Magnitude of linear momentum is constant with respect to time.

Answer» `vec(F)=(vec(dp))/(dt)=a cos t hati+asin hatj`
`vec(F).vec(P)=0`
Magnitude of momentum.
`=sqrt(a^(2)cos^(2)t +a^(2)sin^(2)t)=a`
20.

Two particles A and B are revolving with constant angular velocity on two concentric circles of radius 1m and 2m respectively as shown in figure. The positions of the particles at t = 0 are shown in figure. The positions of the particles at t=0 are shown in figure. if `m_(A)=2kg, m_(B)= 1kg` and `vec(P)_(A)` and `vec(P)_(B)` are linear momentum of the particle then what is the maximum value of `|vec(P)_(A)+vec(P)_(B)|` in kg-m/sec in subsequent motion of two particles.

Answer» Since angular velocities of the particles are different, after some time, two particle may move parallel. In such case `|vec(P)_(A)+vec(P)_(B)|` is maximum
`|vec(P)_(A)+vec(P)_(B)|_("max")=(2xx2+1xx3) kgm//s=7 kg m//s`
21.

Fig 9.15 shows two ways (a) and (b) of connecting the three lamps A, B and C to a.c. supply of 220 V. Name the two arrangements. Which of them would you prefer in a household circuit? Give reason for your answer.

Answer»

The two arrangements are (a) series arrangement, and (b) parallel arrangement. In a household circuit we will prefer the second circuit i.e., (b). In circuit (b) each appliance has same voltage of 220 V. Since all the appliances that we use have voltage rating of 220 V in our country, so each bulb works normally.

22.

Regarding factors influencing the dose: a. At a constant mA, a high kV means a higher skin surface dose and a higher absorbed dose b. When mA is doubled, the dose is doubled and the noise would be halved c. Automated modulation of mA according to the thickness of the patient to keep the noise near constant will reduce the dose compared with the constant mA techniqued. If the voxel dimensions are halved to keep the signal-to-noise ratio (SNR) constant, the dose will increase eightfold e. If the SNR is doubled, the dose would be quadrupled

Answer»

a. True. 

b. False. mA is in direct relation to the dose but noise is proportional to √mA, so the dose will be doubled and the noise will be √2. 

c. True. 

d. True. If the pixels are halved, then the incident photon will be (1/2)3 ; therefore, for the same signal-to-dose ratio, the dose needs to be eight times higher. 

e. True. mA and therefore dose is proportional to (SNR)2 ; thus, (SNR x 2)2 = 4 x dose.

23.

Regarding dose in CT: a. In a body CT, the maximum skin dose is higher than the weighted CTDI (CTDIw) b. CTDI is higher in a CT head than a CT body c. CTDI is the best indicator of dose to an individual patient d. The skin dose in CT is higher than in prolonged fluoroscopy e. CTDIvol is an approximation of the average skin dose

Answer»

a. True. 

b. True. CTDI: head CT > abdo-pelvis CT > chest CT. 

c. False. CTDI measures the dose efficiency. It is mainly for comparison between different models/protocols; it does not measure the dose for individual patients. 

d. False. Skin dose: prolonged fluoroscopy > CT > plain film. 

e. False.

24.

Regarding the CT dose index (CTDI): a. CTDIvol is measured in mGy b. For measurement of the weighted CTDI (CTDIw) for body scanning, a 16 cm diameter phantom is used c. The EDLP (normalized effective dose) is measured in mSv mGy-1 cm d. The effective dose in CT can be calculated using ionizing chambers e. If CTDIw (body) is 10 mGy per 100 mAs; for imaging 25 cm of chest with 150 mAs and a pitch of 1.25, the DLP would be 300 mGy cm

Answer»

a. False. 

b. False. A 16 cm diameter phantom is used for the head and a 32 cm diameter phantom is used for the body. 

c. False. EDLP is measured in mSv mGy-1 cm-1 . The effective dose is derived from EDLP x DLP. 

d. False. Effective doses in CT can be calculated using special computer programs. A special ionization chamber detector is used to measure CTDI. 

e. True. DLP: CTDIw x 1/pitch x length; therefore, CTDIw for 150 mAs is 15 mGy = 15 1/1.25 25 = 300 mGy cm. 

25.

Regarding fourth-generation CT scanners: a. The dose is less than in other generations b. The number of detectors is increased by a factor of 8 c. They need simpler reconstruction d. The calibration can be readjusted through each scanning cycle e. They are the best for cardiac imaging

Answer»

a. False. Fourth-generation CT uses rotate–stationary scanners. The advantages are: detector stability, simpler reconstruction and readjustment of calibration through the scanning cycle. The disadvantages are: an increase in the number of detectors by a factor of 6, it is prohibitive in multi-slice CT, and there is a higher dose because of the increased distance between the patient and the detectors. 

b. False.

c. True. 

d. True. 

e. False.

26.

Regarding CT generations: a. In first-generation scanners, the gantry rotated 360o as well as the single detector b. The second-generation scanner is a rotate–translate scanner c. In second-generation scanners, the detectors can cover the whole cross-section in one radiation d. In third-generation scanners, the patient-to-detector distance is greater than in other generation scanners e. In third-generation scanners, data acquisition is continuous

Answer»

a. False. In first-generation scanners, the X-ray source and single detector both moved across the scanning plane at 180° rotation. 

b. True. 

c. False. In second-generation scanners, there are around 30 detectors, which are not enough for the whole cross-section. 

d. False. In fourth-generation scanners, the patient-to-detector distance is greater than in other generations. 

e. True. In third-generation scanners, data collection is continuous for the full 360°.

27.

Which of the following are correct regarding image acquisition in CT? a. Multi-slice scanners are more susceptible to ring artefacts b. The cone beam effect causes blurry boundaries between high-contrast details c. The distance between the X-ray source and the patient will affect spatial resolutiond. All the detectors in each row in CT are of the same size e. A 180° arc is used in cardiac CT for data collection

Answer»

a. False. In multi-slice scanners, a larger change in sensitivity of the detector is needed to cause ring artefacts, so it is less susceptible. 

b. True. Blurry boundaries between high-contrast details results from the cone beam effect. 

c. True. 

d. False. 

e. True. 

28.

Regarding types of gradient-recalled echo (GRE) sequence: a. Spoiled (incoherent) sequences allow T1 weighting b. Spoiling can be achieved by pseudo-random variations in the phases of the excitation pulse c. Rewound (coherent) GRE sequences are useful in arthro graphic, myelo graphic and angio graphic applications d. Coherent sequences are insensitive to motion and flow e. Ultrafast spoiled gradient-echo sequences require magnetization preparation

Answer»

a. True. If the repetition time (TR) is shorter than the T2 of the tissue, residual transverse magnetization remains at the time of the next radio frequency (RF) excitation pulse. Spoiling eliminates this residual transverse magnetization and the image weighting becomes more T1-like with increasing flip angle. 

b. True. RF spoiling is the most common method for destroying transverse magnetization. Spoiling using various gradient ‘killer’ pulse schemes has been tried, but is not as effective. Examples of RF-spoiled sequences are SPGR (spoiled gradient recalled), FLASH (fast low-angle shot) and T1-FFE (fast field echo). 

c. True. These sequences preserve residual magnetization (steady state) by using a short TR and rewinding the phase-encoding gradient after the echo has been acquired so that there is no residual phase shift dependent on the phase-encoding step. The resulting signal is proportional to the ratio of T2/T1; therefore, water is hyperintense on these sequences, making them perfectly suited to these types of imaging. Other uses include 3D and breath-hold imaging. Examples of such sequences are GRE, FISP (fast imaging with steady-state precession) and FFE. 

d. False. Motion and flow destroy the steady state on which these sequences depend. 

e. True. Due to the very short TRs, in order not to saturate the transverse magnetization, only very small excitation flip angles are used, resulting in poor T1 contrast. This can be overcome by applying preparation pulses, such as a 180° inversion prior to acquisition, which improves the T1 contrast between tissues.

29.

Which of the following are true about gradient-recalled echo (GRE) in comparison with spin–echo sequences: a. Excitation flip angles less than 90° are generally used b. Imaging can be performed faster due to shorter TR times c. Rephasing of the spins and hence echo formation is achieved by using a phase-encoding gradient instead of a 180° pulse d. The excitation flip angle that maximizes the contrast between two tissues is known as the Ernst angle e. GRE is more prone to magnetic susceptibility artefacts than spin–echo sequences

Answer»

a. True. This allows shorter repetition times (TRs) to be used as not all the longitudinal magnetization is tipped into the transverse plane with each excitation. The image contrast is therefore dependent not only on echo time (TE) and TR but also on the flip angle. 

b. True. 

c. False. The echo is formed by a reversal of the frequency-encoding gradient. A prephasing gradient is used initially to dephase the spins, followed by the standard frequency-encoding gradient of the opposite polarity, which rephases the spins. Rephasing (and therefore signal amplitude) is maximal in the middle of the frequency-encoding gradient. 

d. False. The Ernst angle is the excitation flip angle that maximizes the magnetic resonance signal for a given tissue T1 and for a given TR. The Ernst angle (xE) is given by cos(xE) = exp(-TR/T1). This angle may not necessarily provide the optimum contrast between any two tissues. 

e. True. This is because local field inhomogeneities are not eliminated due to the absence of a 180° refocusing pulse

30.

Regarding artefacts in MRI: a. Motion artefacts occur mainly in the frequency-encoding direction b. Aliasing usually occurs in the phase-encoding direction of 2D images c. Magnetic susceptibility effects are more pronounced on spin–echo than on gradient-echo sequences d. Chemical-shift artefacts are virtually eliminated in 3 T scanners e. Ringing (Gibbs) artefacts can be eliminated by increasing the matrix size

Answer»

a. False. Motion artefacts occur in the phase-encoding direction regardless of the actual direction of motion and are usually seen as either a smearing (induced by random motion) or ghosting (periodic motion). 

b. True. Aliasing is encountered in the phase-encoding direction when a part of the patient that lies beyond the chosen field of view appears on the opposite side of the image (known as a wrap-around artefact). A field of view smaller than the object in the frequency-encoding direction does not exhibit aliasing as the frequency-encoded signals are electronically filtered to remove the frequencies outside the receiver bandwidth. Note that in 3D scans, aliasing can also occur in the slice-select direction, as 3D slice encoding also relies on a phase shift. 

c. False. Magnetic susceptibility artefacts are worse on gradient-echo sequences, which do not provide compensation for local magnetic field inhomogeneities. 

d. False. Because the chemical shift (difference in resonance frequency) between fat and water is proportional to the static magnetic field strength, the resulting artefacts may be more pronounced at higher field strengths. 

e. True. Ringing appears as alternating dark and bright lines parallel to a high-contrast interface and is due to insufficient sampling of higher spatial frequencies. It can occur along the frequency- or phase-encoding direction, but is more commonly seen in the latter (due to the phase matrix being smaller in order to reduce scanning time).

31.

Signal-to-noise ratio (SNR) in MRI can be improved by: a. Increasing the tip angle in gradient-echo sequences above the Ernst angle b. Increasing the receiver bandwidth c. Using surface coils d. Using spin–echo sequences instead of gradient-recalled echo (GRE) e. Increasing the echo time (TE)

Answer»

a. False. The Ernst angle is the flip angle at which the signal is maximal for a given T1 and repetition time (TR). Increasing the flip angle above this value would lead to a decrease in signal. 

b. False. SNR is inversely proportional to the square root of the bandwidth. A larger bandwidth increases the detected noise. 

c. True. This reduces the volume of tissue from which noise is detected. 

d. True. In general, spin echo gives higher signal than GRE. 

e. False. As the TE increases, more T2 decay occurs resulting in a smaller signal.

32.

Which of the following are true regarding MRI parameters? a. Increasing voxel size increases signal-to-noise ratio (SNR) b. Decreasing the receiver bandwidth helps reduce chemical-shift artefacts c. The degree of improvement in the SNR is directly proportional to the number of repetitions d. Increasing the field strength improves the SNR e. Image contrast is dependent only on the T1 and T2 values of tissues

Answer»

a. True. The signal will increase at the expense of a reduction in spatial resolution. 

b. False. Decreasing the receiver bandwidth decreases the strength of the frequency-encoding gradient resulting in a larger chemical shift between water and fat. 

c. False. It is proportional to the square root of the number of repetitions. Thus, repeating the sequence four times would result in a twofold improvement in the SNR. 

d. True. As a first approximation, the SNR increases linearly with magnetic field strength. 

e. False. There are a number of methods to improve image contrast, including fat suppression, magnetization transfer and the use of contrast media. Image contrast will also depend on the chosen echo and repetition times, which will determine the image weighting.

33.

Regarding permanent and resistive magnets: a. Permanent magnets used in MRI are often manufactured from ferrite b. Resistive magnets usually contain an iron yolk c. Typical strengths of the produced magnetic field are 0.2–0.3 T for permanent magnets and up to 1 T for resistive magnets d. At similar field strengths, the fringe field is more extensive in permanent than in resistive magnets e. The main use of permanent and resistive magnets is in open MRI systems

Answer»

a. False. They are usually made from rare earth materials – typically neodymium-iron-boron (NIB) or samarium cobalt (SmCo). 

b. True. Old air-cored designs are no longer in use. 

c. False. The value for permanent magnets is correct; however, currently available iron-cored resistive magnets give field strengths of up to 0.6 T only. 

d. False. In permanent magnets, the fringe field is almost entirely contained within the magnet. 

e. True.

34.

According to the UK Medicine and Healthcare products Regulatory Agency (MHRA) Safety Guidelines for Magnetic Resonance Imaging Equipment in Clinical Use (2007): a. The magnetic resonance (MR) controlled area contains the 0.5 mT (5 Gauss) field contour b. The inner MR controlled area contains the 5 mT (50 Gauss) field contour c. Ferromagnetic objects are allowed in the MR controlled area d. Persons with pacemakers can access the MR controlled area but not the inner MR controlled area e. Only equipment marked as ‘MR Safe’ can be brought into the inner MR controlled area 

Answer»

a. True. 

b. False. This contains the 3 mT (30 Gauss) field contour. 

c. True. However, they cannot be brought into the inner MR controlled area where a projectile hazard exists. Good practice would indicate that ferromagnetic objects are also kept out of the controlled area. 

d. False. Patients with pacemakers are not allowed to be exposed to a magnetic field stronger than 0.5 mT (MR controlled area; note this can extend beyond the actual MR room). This may change in the future given the availability of MRI-compatible pacemakers. 

e. False. Equipment marked as ‘MR Conditional’ can also be brought into the inner controlled area, providing the specified conditions are met.

35.

Regarding MRI risks and safety: a. The most often encountered adverse incidents in patients undergoing MR scanning in England are burns b. The main risk of the static magnetic field is its potential to cause a biological effect c. At field strengths of 3 T and higher, there is a potential risk for the function of artificial heart valves to be impaired due to the Lenz effect d. Peripheral nerve stimulation can occur in response to the radio frequency fields e. The maximum allowed rise in total body temperature in the normal scanning mode is 0.5°C

Answer»

a. True. This is due to eddy currents arising in conducting loops. Burns can also occur where the arms and legs are touching, forming a conducting loop pathway. 

b. False. The main risk is that of a ferromagnetic object entering the inner MR controlled area becoming a projectile. 

c. True. The Lenz effect is an induction of a magnetic field in a moving conductor that opposes the external magnetic field. It is of low significance at a 1.5 T field, but is a potential hazard at higher field strengths. 

d. False. This is caused by magnetic field gradients. 

e. True. In the first-level controlled mode with appropriate monitoring, the allowable temperature rise is 1°C.

36.

An experment is performed to find the refractive index of glass using a travelling mircroscope. In this experiment distances are measured byA. a vernier scale provided on the microscopeB. a standard laboratory scaleC. a metre scale provided on the microscopeD. a screw gauge provided on the microscope

Answer» Correct Answer - A
Vernier scale is provided in the microscope
37.

An experment is performed to find the refractive index of glass using a travelling mircroscope. In this experiment distances are measured byA. a vernier scale provided on the microscopeB. a standard laboratory scaleC. a metal scale provided on the microscopeD. a screw gauge provided on the microscope

Answer» To find the refractive index of galass using a travelling microscope a vernier scale is provided on the microscope .
38.

A simple pendulum has time period (T_1). The point of suspension is now moved upward according to the relation `y = K t^2, (K = 1 m//s^2)` where (y) is the vertical displacement. The time period now becomes (T_2). The ratio of `(T_1^2)/(T_2^2)` is `(g = 10 m//s^2)`.A. `5//6`B. `6//5`C. 1D. `4//5`

Answer» Correct Answer - B
`y = kt^(2)`
`:. (dy)/(dt) = 2kt`
`rArr (d^(2)y)/(dt^(2)) = 2k = 2 m//s^(2)`…(i)
`(because k = 1 m//s^(2), given)`
we know that
`T = 2 pi sqrt((l)/(g))`
`:. (T_(1)^(2))/(T_(2)^(2)) =(g_(2))/(g_(1)) rArr (T_(1)^(2))/(T_(2)^(2)) = (12)/(10) =(6)/(5)`
`[because g_(1) =10 m//s^(2), g_(2) =g+2=12 m//s^(2)]`.
39.

Collar A starts from rest & moves to the left with a constant acceleration. Knowing that after 30s, the relative velocity of collar B w.r.t. collar A is 900mm/s, determine the accelerations of A and B. (A) aA= 20mm/s , aB= 10mm/s (B) aA= 10mm/s , aB= 10mm/s (C) aA= 20mm/s , aB= 20mm/s (D)aA= 30mm/s , aB= 30mm/s

Answer»

(A) aA= 20mm/s , aB= 10mm/s

40.

A particle executes SHM with a time period of `4 s`. Find the time taken by the particle to go directly from its mean position to half of its amplitude.A. 1sB. `(1)/(2)s`C. `(1)/(3)s`D. `(1)/(4)s`

Answer» Correct Answer - C
`x=Asin(omegat+phi_(@))`
at t=0, `x=0impliesAsinphi_(@)=0` or `phi_(@)=0`
Hence `x=Asin(omegat)`
or `A//2=Asin(omegat)`
or 1/2`=sin(omegat)`
`omegat=sin^(-1)((1)/(2))=(pi)/(6)`
`t=(pi)/(6omega)=(pi.T)/(6(2pi))`
as `omega=2pi//Timpliest T//12=1//3s`
41.

Write the two characteristic of the centrifugal force and centripetal force by showing explanation.

Answer»

Centripetal force is the component of force acting on an object in curvilinear motion which is directed towards the axis of rotation or centre of curvature. Centrifugal force is a pseudo force in a circular motion which acts along the radius and is directed away from the centre of the circle.

42.

Calculate the charges of an iron particle of mass 224 mg if 0.01% of the electrons are removed from it.

Answer»

Given here: Atomic mass of iron = 56
now, 1 mole of iron contains 56 g of iron.
no. of moles in 224 g iron = n= 224/56 = 4
Now,
Total number of electrons or protons in 4 moles of iron = n ×​ avagadro number = 4 ×​ 6.032 ×​ 1023 
0.01 % of  4 ×​ 6.032 ×​ 1023 ​ =  a = (0.01/100) × 4 ×​ 6.032 ×​ 1023 ​= 2.41×1020

Now, defecient negative charge = a ×​ charge on  electron  

= 2.41×​1020  × 1.602 × 10-19 = 38.6 C

Positive charge acquired by 224g iron = defecient negative charge​  = 38.6 C​

43.

Two spheres of radius 10 cm and 40 cm have the same volume density change. Find the ratio of change on them.

Answer»

In this question there is no consideration of volume density change, we have only to use formulae σ=q/a
and also a= 4
πr 2
r1=10cm
r2=40cm
According to equation 
q1/q2=r22 /r12

Thus

q1/q2= (40x40)/(10x10)
q1/q2=16/1
 

Ratio of charges is 16:1

44.

Which other procedures will you suggest to study Newton's Laws of motion in the Laboratory?

Answer»

Procedure for doing real Lab:

Take two similar spring balances of different ranges, say A and B.

Note the least count of the spring balances.

Attach the ring of spring balance A on a hook fixed in the wall and the spring balance B is attached to the hook of spring balance A.

Hold the spring balances exactly horizontal to the table.

Pull the ring of spring balance B gently.

Observe and note the reading of both the spring balances. Repeat the experiment by applying different forces.

Procedure for doing simulator:

Change the ‘Applied force’ slider and observe the reading on the two spring balances.

Repeat the experiment by applying different forces.

Click on the reset button for reset the experiment.

Observations:

Least count of the spring balance = value of 1 small division

Least count of the spring balance A=………N

Least count of the spring balance B =…………………N

No. of observations

Reading of B (Second spring balance) when force applied (N)

Reading of A (First spring balance) when force applied (N)

Difference in reading of A and B (N)

Result:

The readings on both the balances are the same in each case. Thus action and reaction forces are equal and opposite and act on two different bodies.

Precautions:

Spring balance of different least count should be taken.

The spring balance should be brought in elastic mode before doing the experiment.

The second spring balance should not be pulled beyond its elastic limit.

The reading of the spring balance should be taken without any parallax error.

45.

Aiming to revive Jammu and Kashmir’s attraction as a top location for film shooting the J&K film policy, 2021 offers a host of incentives to the filmmakers, such as subsidies and low long term interest rates, for films with patriotic and certain other themes shot in J&K, for giving work opportunities to local artistes, etc. This will have an impact on business enterprises in the state. Which component of business environment is highlighted above: (a) Specific and general forces (b) Technological environment (c) Economic environment (d) Totality of external forces

Answer»

(c) Economic environment

46.

If a secondary coil has 40 turns, and, a primary coil with 20 turns is charged with 50 V of potential difference, then the potential difference in the secondary coil would be A. 50 V in secondary coil B. 25 V in secondary coil C. 60 V in secondary coil D. 100 V in secondary coil

Answer»

D. 100 V in secondary coil 

47.

The binding energy per nucleon, for nuclei with atomic mass number `A gt 100`, decreases with `A`. The nuclear forces are weak for heavier nuclei.A. If both assertion and reason are true and reason is the correct explanation of assertionB. If both assertion and reason are true but reason is not the correct explanation of assertion.C. If assertion is true statement but resaon is false.D. If both assertion and reason are false.

Answer» Correct Answer - c
A better measure of the binding between the constituents of the nucleus is the binding energy per nucleon, which is the ratio of the binding energy of a nucleus to the number of the nucleons in that nucleus. For heavy nuclei `(Agt100)` Coulomb repulsion between the protons and inside the nucleus increasing. This results in decrease in binding energy per nucleon. Now, nuclear force is the familiar Coulomb force that determines the motion of atomic electrons. Nuclear force is nearly same for all nuclei. Hence, the option (c ) is correct.
48.

Which one of the following is not a factor of discouraging settlement ?(a) Lack of Water (b) Unemployment (c) Education and Health facility (d) Epidemic.

Answer»

Education and Health facility is not a factor of discouraging settlement.

49.

Prove that `vecA.(vecAxxvecB)=0`

Answer» `vecA(vecAxxvecB)=0`(claim)
As `vecAxxvecB=AB sin theta hatn
`is a vector which is perpendicular to the place containing `vecA and vecB
` this implies that it is also perpendicular to `vecA`. As dot product of two perpendicular vector is zero. `vecA.(vecAxxvecB)=0`
50.

Evaluate `(21.6002+234+2732.10)xx13.

Answer» `21.6002 |22
234|234
2732.10| 2732
2988
The three numbers are arranged with their decimal points aligned (shown on the left part above). The column juist left to the decimals has 4 as the doubtful digit. Thus, all thenumbers are rounded to this comumn.
The required expression is `2988xx13=38844.` S 13 has onlly tow significant digits the product should be rounded off after two significant digits. Thus the result is 39000.