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.

∫(x−1)ex(x+1)3dx=

Answer»

(x1)ex(x+1)3dx=


2.

From a point on the ground 100 m away from the base of a building, the angle of elevation of the top of the building is 60° Which of the following is the best approximation for the height of the building?

Answer»

From a point on the ground 100 m away from the base of a building, the angle of elevation of the top of the building is 60° Which of the following is the best approximation for the height of the building?

3.

A particle having a charge of 2.0×10−8 C and a mass of 2.0×10−10 g is projected with a speed of 2.0×103 m s−1 in a region having a uniform magnetic field of 0.10 T. The velocity is perpendicular to the field. Find the radius of the circle formed by the particle and also the time period.

Answer»

A particle having a charge of 2.0×108 C and a mass of 2.0×1010 g is projected with a speed of 2.0×103 m s1 in a region having a uniform magnetic field of 0.10 T. The velocity is perpendicular to the field. Find the radius of the circle formed by the particle and also the time period.

4.

what is Microscope what is its applications how it works on what is its principles

Answer» what is Microscope what is its applications how it works on what is its principles
5.

Three charged particles are moving along the circular path by forming an equilateral triangle. Find i) Velocity of revolution ii) Time period of revolution.

Answer» Three charged particles are moving along the circular path by forming an equilateral triangle. Find i) Velocity of revolution ii) Time period of revolution.
6.

A stretched string is forced to transmit transverse waves by means of an oscillator coupled to one end. The string has a diameter of 4mm. The amplitude of the oscillation is 10−4m and the frequency is 10 Hz. Tension in the string is 100 N and mass density of wire is 4.2×103 kg/m3 ​. Find :

Answer»

A stretched string is forced to transmit transverse waves by means of an oscillator coupled to one end. The string has a diameter of 4mm. The amplitude of the oscillation is 104m and the frequency is 10 Hz. Tension in the string is 100 N and mass density of wire is 4.2×103 kg/m3 ​. Find :


7.

A steel ball is dropped from a building's roof and passes a window, taking 1s to fall from the top to the window to the bottom of the window, a distance of 10m. It then falls to a sidewalk and bounces back past the window, moving from bottom to top in 1s. Assume that the upward flight is an exact reverse of the fall. The time the ball spends below the bottom of the window is 2s. How tall is the building?

Answer»

A steel ball is dropped from a building's roof and passes a window, taking 1s to fall from the top to the window to the bottom of the window, a distance of 10m. It then falls to a sidewalk and bounces back past the window, moving from bottom to top in 1s. Assume that the upward flight is an exact reverse of the fall. The time the ball spends below the bottom of the window is 2s. How tall is the building?


8.

i current flows through a circuit when 10 cells are connected in series. How many same cells should be connected in parallel to get the same current

Answer»

i current flows through a circuit when 10 cells are connected in series. How many same cells should be connected in parallel to get the same current

9.

For the reaction A + B → C; starting with different initial concentration of A and B, initial rate of reaction were determined graphically in four experiments. Sl.No[A]0/M(Initial conc.)[B]0/M(Initial conc.)Rate/(M sec−1)1.1.6×10−35×10−210−32.3.2×10−35×10−24×10−33.1.6×10−310−12×10−34.3.2×10−310−18×10−3 Rate law for reaction from above data is

Answer» For the reaction A + B C; starting with different initial concentration of A and B, initial rate of reaction were determined graphically in four experiments.
Sl.No[A]0/M(Initial conc.)[B]0/M(Initial conc.)Rate/(M sec1)1.1.6×1035×1021032.3.2×1035×1024×1033.1.6×1031012×1034.3.2×1031018×103
Rate law for reaction from above data is

10.

If in the infinite series circuit, C = 9 μF and C1=6μF then the capacity across AB is

Answer» If in the infinite series circuit, C = 9 μF and C1=6μF then the capacity across AB is

11.

An object A is moving towards a converging lens as shown in the figure. If object is moving with speed 5 m/s, find the average velocity of image in next 4 seconds.

Answer»

An object A is moving towards a converging lens as shown in the figure. If object is moving with speed 5 m/s, find the average velocity of image in next 4 seconds.


12.

The number of ordered pairs (x,y) of real numbers satisfying 4x2−4x+2=sin2y and x2+y2≤3 will be

Answer»

The number of ordered pairs (x,y) of real numbers satisfying 4x24x+2=sin2y and x2+y23 will be


13.

A body of 1 kg is thrown vertically upwards with an initial velocity (u)=2 m/s, the height at which kinetic energy of the body is (14)th of its original value is (take g=10 m/s2)

Answer»

A body of 1 kg is thrown vertically upwards with an initial velocity (u)=2 m/s, the height at which kinetic energy of the body is (14)th of its original value is (take g=10 m/s2)

14.

An open flask containing air is heated from 27∘C to 127∘C K. What percentage of air will escape if the pressure is kept constant?

Answer» An open flask containing air is heated from 27C to 127C K. What percentage of air will escape if the pressure is kept constant?
15.

A metal rod, fixed at both ends, has a length l,area of cross section A and youngs modulus Y and coefficient of linear expansion α is heated through t0 C. The work done in heating the rod is

Answer»

A metal rod, fixed at both ends, has a length l,area of cross section A and youngs modulus Y and coefficient of linear expansion α is heated through t0 C. The work done in heating the rod is


16.

P is a point on the axis of a ring with Centre O and radius 0.1m. The ring is uniformly charged with linear charge density 0.5 c/m. Given OP = 0.1 m, the electric field at P is approximately ten to the power ___in SI units.

Answer»

P is a point on the axis of a ring with Centre O and radius 0.1m. The ring is uniformly charged with linear charge density 0.5 c/m. Given OP = 0.1 m, the electric field at P is approximately ten to the power

___in SI units.
17.

Which of these were the drawbacks of Rutherford's model.

Answer» Which of these were the drawbacks of Rutherford's model.
18.

Given a point source of light, which of the following can produce a parallel beam of light [CPMT 1974; KCET

Answer»

Given a point source of light, which of the following can produce a parallel beam of light [CPMT 1974; KCET


19.

In planetary motion the areal velocity of position vector of a planet depends on angular velocity (ω) and the distance of the planet from sun (r). If so the correct relation for areal velocity is

Answer»

In planetary motion the areal velocity of position vector of a planet depends on angular velocity (ω) and the distance of the planet from sun (r). If so the correct relation for areal velocity is


20.

A block of mass m moves on a horizontal circle against the wall of a cylindrical room of radius R. The floor of the room oil which the block MC/Veil so smooth but the friction coefficient between the wall and the block is p. The block is given an initial speed V0. As a function of the speed v write (a) the normal force by the wall on the block, (b) the frictional force by the wall and (c) the tangential acceleration of the block. (d) Integrate the tangential acceleration (dvdt=vdvdt) to obtain the speed of the block after one revolution.

Answer»

A block of mass m moves on a horizontal circle against the wall of a cylindrical room of radius R. The floor of the room oil which the block MC/Veil so smooth but the friction coefficient between the wall and the block is p. The block is given an initial speed V0. As a function of the speed v write (a) the normal force by the wall on the block, (b) the frictional force by the wall and (c) the tangential acceleration of the block. (d) Integrate the tangential acceleration (dvdt=vdvdt) to obtain the speed of the block after one revolution.

21.

The time period of a body in SHM is represented by To=PaρbSc, where P is pressure, ρ is density and S is surface tension. The value of a,b and c respectively for the relation to be dimensionally correct is

Answer»

The time period of a body in SHM is represented by To=PaρbSc, where P is pressure, ρ is density and S is surface tension. The value of a,b and c respectively for the relation to be dimensionally correct is

22.

Arrange the following electromagnetic wave in the order of their increasing wavelength: (a) γ-rays (b) Microwaves (c) X-rays (d) Radio waves How are infra-red waves produced? What role does infra-red radiation play in (i) maintain the Earth’s warmth and (ii) physical therapy?

Answer»

Arrange the following electromagnetic wave in the order of their increasing wavelength:

(a) γ-rays

(b) Microwaves

(c) X-rays

(d) Radio waves

How are infra-red waves produced? What role does infra-red radiation play in (i) maintain the Earth’s warmth and (ii) physical therapy?

23.

Two particles move parallel to x-axis about the origin with same amplitude ‘a’ and frequency ω. At a certain instant they are found at a distance a/3 from the origin on opposite sides but their velocities are in the same direction. The phase difference between the two particles is..

Answer»

Two particles move parallel to x-axis about the origin with same amplitude ‘a’ and frequency ω. At a certain instant they are found at a distance a/3 from the origin on opposite sides but their velocities are in the same direction. The phase difference between the two particles is..

24.

A sinusoidal wave of amplitude 5 cm is to be transmitted along a string having a linear mass density of 4×10−2 kg/m. If the source can be deliver an average power of 90 watts and string is under a tension of 100 N, then the frequency at which the source operates is [Take π2=10]

Answer»

A sinusoidal wave of amplitude 5 cm is to be transmitted along a string having a linear mass density of 4×102 kg/m. If the source can be deliver an average power of 90 watts and string is under a tension of 100 N, then the frequency at which the source operates is
[Take π2=10]

25.

A uniform ring of mass ‘m’ and radius ‘a’ is placed directly above a uniform sphere of mass ‘M’ and of equal radius. The centre of the ring is at a distance √3a from the centre of the sphere. The gravitational force exerted by the sphere on the ring is

Answer»

A uniform ring of mass ‘m’ and radius ‘a’ is placed directly above a uniform sphere of mass ‘M’ and of equal radius. The centre of the ring is at a distance 3a from the centre of the sphere. The gravitational force exerted by the sphere on the ring is


26.

A spherical shell at rest at the origin explodes into three fragments of masses 1 kg, 2 kg and 'm' kg. The 1 kg and 2 kg pieces fly off with speeds of 12ms−1 along the x-axis and 8 ms−1 along the y-axis respectively. If the 'm' kg piece flies off with a speed of 40 ms−1 , the total mass of the shell must be

Answer»

A spherical shell at rest at the origin explodes into three fragments of masses 1 kg, 2 kg and 'm' kg. The 1 kg and 2 kg pieces fly off with speeds of 12ms1 along the x-axis and 8 ms1 along the y-axis respectively. If the 'm' kg piece flies off with a speed of 40 ms1 , the total mass of the shell must be

27.

The approximated epth of an ocean is 2700m.Thecompressibilityofwateris 45.4 × 10-11Pa−1 and density of water is 103kg/m3.What fractional compression of water will be obtained at the bottom of the ocean?

Answer»

The approximated epth of an ocean is 2700m.Thecompressibilityofwateris 45.4 × 10-11Pa1 and density of water is 103kg/m3.What fractional compression of water will be obtained at the bottom of the ocean?


28.

In a capacitor charging unit, let Q1 be the charge given to the capacitor in a time interval Δt and Q2 be the charge given in the next equal time inertial Δt. In the same unit, let charge Δqbe deposited in a time interval t1 and the next equal charge Δq be deposited in a time interval t2, then.

Answer»

In a capacitor charging unit, let Q1 be the charge given to the capacitor in a time interval Δt and Q2 be the charge given in the next equal time inertial Δt. In the same unit, let charge Δqbe deposited in a time interval t1 and the next equal charge Δq be deposited in a time interval t2, then.

29.

Distance of the centre of mass of a solid uniform cone from its vertex is z0. If the radius of its base is R and its height is h, then z0 is equal to.

Answer»

Distance of the centre of mass of a solid uniform cone from its vertex is z0. If the radius of its base is R and its height is h, then z0 is equal to.

30.

A ball of mass m moving at a speed v makes a head-on collision with an identical ball at rest. The kinetic energy of the ball after the collision is three-fourths of the original. Find the coefficient of restitution.

Answer»

A ball of mass m moving at a speed v makes a head-on collision with an identical ball at rest. The kinetic energy of the ball after the collision is three-fourths of the original. Find the coefficient of restitution.

31.

The distance travelled by a body falling freely from rest in 2nd, 3rd and 5th second of its motion are in the ratio

Answer»

The distance travelled by a body falling freely from rest in 2nd, 3rd and 5th second of its motion are in the ratio

32.

Match the graphs between the following variables with their names. GraphsNamesA. pressure vs temperature graph at1. Isothermsconstant molar volumeB. Pressure vs volume graph at2. Constant temperature curveconstant temperatureC. Volume vs temperature graph at3. Isochoresconstant pressure4. Isobars

Answer»

Match the graphs between the following variables with their names.

GraphsNamesA. pressure vs temperature graph at1. Isothermsconstant molar volumeB. Pressure vs volume graph at2. Constant temperature curveconstant temperatureC. Volume vs temperature graph at3. Isochoresconstant pressure4. Isobars

33.

Two rods of length L2 and coefficient of linear expansion α2 are connected freely to a third rod of length L1 of coefficient of linear expansion α1 to form an isosceles triangle. The arrangement is supported on the knife edge at the midpoint of rod of length L1, which is horizontal. The apex of the isosceles triangle remains at a constant distance from the knife edge, if L1L2=n(α2α1)12. Then value of n is

Answer» Two rods of length L2 and coefficient of linear expansion α2 are connected freely to a third rod of length L1 of coefficient of linear expansion α1 to form an isosceles triangle. The arrangement is supported on the knife edge at the midpoint of rod of length L1, which is horizontal. The apex of the isosceles triangle remains at a constant distance from the knife edge, if L1L2=n(α2α1)12. Then value of n is
34.

A time dependent force F=6t acts on a particle of mass 1kg. If the particle starts from rest, the work done by the force during the first 1 sec will be

Answer»

A time dependent force F=6t acts on a particle of mass 1kg. If the particle starts from rest, the work done by the force during the first 1 sec will be

35.

A soap film is made by dipping a circular frame of radius b in soap solution. A bubble is formed by blowing air with speed v in a cylindrical column. The radius of the bubble formed R>>b. If the air is incident normally on the surface of the bubble and air stops after striking the surface, then the radius R of the bubble when the soap bubble separates from the ring is: (Surface tension of liquid is S and density of air is ρ)

Answer»

A soap film is made by dipping a circular frame of radius b in soap solution. A bubble is formed by blowing air with speed v in a cylindrical column. The radius of the bubble formed R>>b. If the air is incident normally on the surface of the bubble and air stops after striking the surface, then the radius R of the bubble when the soap bubble separates from the ring is:
(Surface tension of liquid is S and density of air is ρ)


36.

In the given figure, the focal length of the two mirrors M−1 and M−2 for the given incident rays are f1 and f2 respectively, then

Answer»

In the given figure, the focal length of the two mirrors M1 and M2 for the given incident rays are f1 and f2 respectively, then

37.

A tree increases annually by 18th of its height. By how much will it increase after 52 years, if it stands today 10 ft. today?

Answer»

A tree increases annually by 18th of its height. By how much will it increase after 52 years, if it stands today 10 ft. today?


38.

A steel ring of 3.000 inch inside diameter at 200C is to be heated and slipped over a brass shaft measuring 3.002 inch in diameter at 200 C. To what temperature should the ring be heated? (αsteel= 1.1 ×10-50C-1)

Answer»

A steel ring of 3.000 inch inside diameter at 200C is to be heated and slipped over a brass shaft measuring 3.002 inch in diameter at 200 C. To what temperature should the ring be heated? (αsteel= 1.1 ×10-50C-1)


39.

A charge q is moved from point A to point B in the electric field of a uniformly charged ring of radius R and charge Q which is placed in exactly at the centre of AB. Find the work done by the agent.

Answer»

A charge q is moved from point A to point B in the electric field of a uniformly charged ring of radius R and charge Q which is placed in exactly at the centre of AB. Find the work done by the agent.


40.

When a monochromatic source of light is at a distance of 0.2 m from a photocell, the stopping potential (cut off voltage) and the saturation current are found to be 1 volt and 27 mA respectively. If the same source is placed at a distance 0.6 m from the cell then

Answer»

When a monochromatic source of light is at a distance of 0.2 m from a photocell, the stopping potential (cut off voltage) and the saturation current are found to be 1 volt and 27 mA respectively. If the same source is placed at a distance 0.6 m from the cell then

41.

Three rods of same material, same area of cross-section but different lengths 10 cm, 20 cm and 30 cm are connected at a point as shown in the figure. Find the temperature of junction ′O′.

Answer»

Three rods of same material, same area of cross-section but different lengths 10 cm, 20 cm and 30 cm are connected at a point as shown in the figure. Find the temperature of junction O.


42.

A disc of radius R uniformly charged with a charge Q is rotated at angular velocity ′ω′ about an axis passing through its center and perpendicular to plane disc. Net magnetic field at center of disc is.

Answer»

A disc of radius R uniformly charged with a charge Q is rotated at angular velocity ω about an axis passing through its center and perpendicular to plane disc. Net magnetic field at center of disc is.

43.

For the situation shown in the figure (r >> length of dipole) mark out the correct statement(s).

Answer»

For the situation shown in the figure (r >> length of dipole) mark out the correct statement(s).


44.

If the length of the string between the bridges of a sonometer wire is changed by a small amount , the fractional change Δffin the fundamental frequency is

Answer»

If the length of the string between the bridges of a sonometer wire is changed by a small amount , the fractional change Δffin the fundamental frequency is


45.

A transverse wave is passing through a light string shown in the figure. The equation of wave is y = A sin(ωt–kx). The area of cross section of string is ‘A’ and density is ‘ρ’. The hanging mass is:

Answer»

A transverse wave is passing through a light string shown in the figure.
The equation of wave is y = A sin(ωtkx). The area of cross section of string
is ‘A’ and density is ‘ρ’. The hanging mass is:


46.

wo particles A and B are placed as shown in the figure. The particle A, on the top of tower, is projected horizontally with a velocity u and the B is projected along the surface towards the tower simultaneously. If particles meet each other, then the speed of projection of particle B is [Ignore friction]

Answer»

wo particles A and B are placed as shown in the figure. The particle A, on the top of tower, is projected horizontally with a velocity u and the B is projected along the surface towards the tower simultaneously. If particles meet each other, then the speed of projection of particle B is [Ignore friction]


47.

Displacement is a vector quantity because it has both ___ and ___ .

Answer» Displacement is a vector quantity because it has both ___ and ___ .
48.

A coil made of Copper wire having radius r, self inductance L is bent in two concentric turns each having radius r2 . The new self inductance is

Answer»

A coil made of Copper wire having radius r, self inductance L is bent in two concentric turns each having radius r2 . The new self inductance is

49.

Equal torsional torques act on two rods x and y having equal length. The diameter of rod y is twice the diameter of rod x. If θx and θy are the angle of twist, then θxθy=

Answer» Equal torsional torques act on two rods x and y having equal length. The diameter of rod y is twice the diameter of rod x. If θx and θy are the angle of twist, then θxθy=
50.

A container is filled with 20 mole of an ideal diatomic gas at absolute temperature T. When heat is supplied to it, the temperature remain constant but 8 mole of the gas disassociates into atoms. The heat energy supplied to the gas is

Answer»

A container is filled with 20 mole of an ideal diatomic gas at absolute temperature T. When heat is supplied to it, the temperature remain constant but 8 mole of the gas disassociates into atoms. The heat energy supplied to the gas is