Explore topic-wise InterviewSolutions in Current Affairs.

On the superposition of the two waves represented by equation $y_1=A\sin (\omega t-kx)$ and $y_2=A\sin (\omega t-kx+\frac{\pi }{4})$, the resultant amplitude of oscillation will be:

Four identical thin rods of mass $m$ and length $l$ each, form a square frame as shown in figure. Find the MOI of the frame about an axis passing through one of its corners and perpendicular to its plane.

Equal masses of air are sealed in two vessels, one of volume $V_0$ and the other of volume 2$V_0$. If the first vessel is maintained at a temperature 300 K and the other at 600 K, find the ratio of the pressures in the two vessels.

The velocity – time graph of a particle moving along a straight line is as shown in fig. The rate of acceleration and deceleration is constant and it is equal to $5{\text{ms}}^{-2}$. If the average velocity during the motion is $20{\text{ms}}^{-1}$, then

The value of $t$ is

P and Q were partners in a firm sharing profits in the ratio of 5:3. On 1-4-2014 they admitted R as a new partner for 1/8th share in the profits with a guaranteed profit of Rs 75,000. The new profit sharing ratio between P and Q will remain the same but they agreed to bear any deficiency on account of guarantee to R in the ratio 3:2. The profit of the firm for the year ended 31-3-2015 was Rs 4,00,000.

Prepare Profit & Loss Appropriation A/c of P, Q and R for the year ended 31-3-2015.

Calculate the compressibility factor for a gas, if $1$ mole of it occupy $0.821\text{litre}$ at $300\text{K}$ and $50\text{atm}$.

A track consists of two circular parts ABC and CDE of equal radius 100 m and joined smoothly as shown in figure (7-E1). Each part subtends a right angle at its centre.A cycle weighing 100 kg together with the rider travels at a constant speed of 18 km/h on the track. (a) Find the normal contact force by the road on the cycle when it is at B and at D. (b) Find the force of friction exerted by the track on the tyres when the cycle is at B, C and D. (c) Find the normal force between the road and the cycle just before and just after the cycle crosses C. (d) What should be the minimum friction coefficient between the road and the tyre, which will ensure that the cyclist can move with constant speed ? Take $g=10m/s^2.$

A cylinder rotating at an angular speed of 50 rev/s is brought in contact with an identical stationary cylinder. Because of the kinetic friction, torques act on the two cylinders, accelerating the stationary one and decelerating the moving one. If the common magnitude of the acceleration and deceleration be one revolution per second square, how long will it take before the two cylinders have equal angular speed ?

A body of weight 2kg is suspended as shown in the figure. The tension $T_1$ in the horizontal string (in kg wt) is

A steel rod of length $1\text{m}$ is fixed between two walls. If the rod is heated from ${25}^o\text{C}$ to ${35}^o\text{C}$, the stress developed in the rod is expressed as $x\times {10}^7{\text{N/m}}^2$. Find the value of $x$.
(coefficient of expansion for steel is $2\times {10}^{-5}{/}^{\circ }C$, Young's modulus of steel is $2\times {10}^{11}{\text{N/m}}^2$)

A particle is suspended by means of a light inextensible string (of length 125 cm.) whose other end is fixed to vertical wall. What horizontal velocity should be imparted to the particle so that it just touches the ceiling 99 cm above the point of suspension?

A wire of length $l$, mass $m$ and resistance $R$ slide without any friction down the parallel conducting rails of negligible resistance. The rails are connected to each other at the bottom by a rail of negligible resistance which is parallel to the wire . The wire and rail forms a closed rectangular conducting loop. The plane of the rails makes an angle $\theta$ with the horizontal and a uniform magnetic field $B$ which exists throughout the region. Find the steady velocity of the wire.

A piston is fitted in a cylindrical tube of small cross section with the other end of the tube open. The tube resonates with a tuning fork of frequency 512 Hz. The piston is gradually pulled out of the tube and it is found that a second resonance occurs when the piston is pulled out through a distance of 32.0 cm. Calculate the speed of sound in the air of the tube.

Three physical quantity having dimensions [ M L^-1 T^-2] are.

The expected energy of the electrons at absolute zero is called [RPET 1996]

The speed of light in vaccum $\left(c\right)$, depends on two fundamental constants, the permeability of free space $\left({\mu }_0\right)$ and permittivity of free space $\left({ϵ}_0\right)$. The speed of light is given by $c=\frac{1}{\sqrt{{\mu }_0{ϵ}_0}}$. The units of ${ϵ}_0$ are ${\text{N}}^{-1}{\text{C}}^2{\text{m}}^{-2}$. The units for ${\mu }_0$ are

A large steel wheel is to be fitted on a shaft of the same material. At $27{}^{\circ }\text{C}$, the outer diameter of the shaft is $8.70\text{cm}$ and the diameter of the central hole of the wheel is $8.69\text{cm}$. The shaft is cooled using 'dry ice'. At what temperature of the shaft does the wheel slip on it?

$[\alpha =1.20\times {10}^{-5}/{}^{\circ }\text{C}]$

1. The optic axes of two Polaroids are inclined at an angle of 45° with each other.unpolarised light of intensity I° being incident on the first polaroid emerges from the second polaroid. What is the intensity of the emergent light?

The correct relation between heat produced (H) and electric current (I) flowing through a given material is:

A body is moving in a circular path with a constant speed. It has

The displacement x (in centimetres) of an oscillating particle varies with time t (in seconds) as $x=2cos(0.5\pi t+\frac{\pi }{3})$
The magnitude of the maximum acceleration of the particle is

Two identical thin platinum wires each of length 44 cm are taken. One of them is looped in to a circle, and the other is joined to it as shown in the figure. The distance of the centre of mass of the system from the centre of the circular loop is

You are given a wire of length 100cm and of linear resistance of 1ohm/cm . If it is cut into two equal parts ,so they are in parallel,the effective resistance is 24ohm . The lengths of the. Two parts are?

A body released from rest slides along a frictionless track $AC$. Its speed at $C$ is

A vessel of volume $1000{\text{cm}}^3$ contains $0.2\text{mol}$ of oxygen and $0.3\text{mol}$ of carbon dioxide. If the temperature of the mixture is ${27}^{\circ }\text{C}$, find its pressure.

An aeroplane in which the distance between the tips of wings is 50 m is flying horizontally with a speed of 360 km/hr over a place where the vertical component of earth's magnetic field is $2.0$ x ${10}^{-4}weber/m^2$ . The potential difference between the tips of the wings would be

On heating a uniform metallic cylinder, length increases by $3\%$. The area of cross - section of its base will increase by

A particle starts from rest, accelerates at $2m/s^2$ for $10s$ and then goes with constant speed for $30s$ and then decelerates at $4m/s^2$ till it stops. What is the distance travelled by it?

How many forces are acting on $M$ when its $FBD$ is drawn? (Given all surfaces are smooth)

The excess pressure inside the first soap bubble is three times that inside the second bubble. Then, the ratio of the volume of the first bubble to that of the second bubble will be

Two rods A and B are of equal lengths. Their ends are kept between the same temperature and their area of cross-sections are .and thermal conductivities $K_{1}and{K}_2$. The rate of heat transmission in the two rods will be equal, if

When a person wears a hearing aid, the sound intensity level increases by 30 dB. The sound intensity increases by

Two wires A and B with lengths in the ratio of 3:1, diameters in the ratio of 1:2 and resistivities in the ratio of 1:20 are joined in parallel with a source of emf 2V. Ratio of the R₁ and R₂ is:

1) 5 : 2

2) 2 : 5

3) 5 : 3

4) 3: 5

A block of steel of size 5 cm $\times$ 5 cm $\times$ 5 cm is weighed in water. If the relative density of steel is 7, its apparent weight is

A particle is moving in a circle of radius $R$ with constant speed. The time period of the particle is $T$. In a time $t=\frac{T}{6}$, average speed of the particle is

A particle executes simple harmonic motion between x = -A and x=+ A. The time taken for it to go from the mean position, O to $\frac{A}{2}$ is $T_1$ and to go from $\frac{A}{2}$ to A is $T_2$. Then,

Find the direction cosines of the x axis.

Why actually current divides at junction... I am not getting a correct picture of current....,,how current behaves and so on.

A cylinder is completely filled with water. If $\frac{1}{4}$th of the volume of water leaks out, its centre of mass

Derivative of $f\left(x\right)=\frac{e^x}{\cos \left(x^2\right)}$ is

A particle is moving rectilinearly so that its acceleration is given as $a\left(m/s^2\right)=3t^2+1$ Its initial velocity is zero then the velocity of the particle at $t=1$ s will be

The time taken for a certain volume of gas to diffuse through a small hole was $2\text{min}$. Under similar conditions an equal volume of oxygen took $4\text{min}$ to pass. The molecular mass of the gas is:

The given setup is in equilibrium and springs were in natural length before force was applied. If I have to replace the above setup by 1 block and 1 spring then what will be the spring constant of that new spring, such that the block is displaced by the same amount previously by the applied force.