3731 + Interview Questions in Physics Page 35 InterviewSolution

1701.	Two identical cylindrical vessels with their bases at same level each contains a liquid of density ρ. The height of the liquid in one vessel is h1 and that in the other vessel is h2. The area of either base is A. The work done by gravity in equalizing the levels when the two vessels are connected, is
Answer» Two identical cylindrical vessels with their bases at same level each contains a liquid of density ρ. The height of the liquid in one vessel is h₁ and that in the other vessel is $h_{2}$ . The area of either base is A. The work done by gravity in equalizing the levels when the two vessels are connected, is

Discussion

1702.	A parachutist after bailing out falls 50 m without friction. When parachute opens, it decelerates at 2 m/s2. He reaches the ground with a speed of 3 m/s. At what height, did he bail out?
Answer» A parachutist after bailing out falls $50 m$ without friction. When parachute opens, it decelerates at $2 {m/s}^{2}$ . He reaches the ground with a speed of $3 m/s$ . At what height, did he bail out?

Discussion

1703.	A 2 volt battery, a 15Ω resistor and a potentiometer of 100 cm length, all are connected in series. If the resistance of potentiometer wire is 5Ω, then the potential gradient of the potentiometer wire is
Answer» A 2 volt battery, a $15 Ω$ resistor and a potentiometer of 100 cm length, all are connected in series. If the resistance of potentiometer wire is $5 Ω$ , then the potential gradient of the potentiometer wire is

Discussion

1704.	Evaluate : ∫41(8√t−12√t3)dt
Answer» Evaluate : $\int_{1}^{4} (\frac{8}{\sqrt{t}} - 12 \sqrt{t^{3}}) d t$

Discussion

1705.	One mole of a monoatomic gas is heated using PV32=const. Find the amount of heat obtained in the process, when the temperature changes by ΔT=−26 K
Answer» One mole of a monoatomic gas is heated using $P V^{\frac{3}{2}} = const$ . Find the amount of heat obtained in the process, when the temperature changes by $Δ T = - 26 K$

Discussion

1706.	The conductivity of a material is 5 mho/m. What is it’s resistivity?
Answer» The conductivity of a material is 5 mho/m. What is it’s resistivity?

Discussion

1707.	Calculate the torque developed by an airplane engine whose output is 3200 HP at an angular velocity of 2400 rev/min. (1 HP=746 J/s)
Answer» Calculate the torque developed by an airplane engine whose output is $3200 HP$ at an angular velocity of $2400 rev/min$ . $(1 HP = 746 J/s)$

Discussion

1708.	The displacement of a particle varies with time t as: s=αt2−βt3. Determine the time (t) at which acceleration of the particle becomes 0.
Answer» The displacement of a particle varies with time $t$ as: $s = α t^{2} - β t^{3}$ . Determine the time $(t)$ at which acceleration of the particle becomes $0$ .

Discussion

1709.	From a solid sphere of mass M and radius R, a cube of maximum possible volume is cut. The moment of inertia of cube about an axis passing through its centre and perpendicular to one of its faces is
Answer» From a solid sphere of mass M and radius R, a cube of maximum possible volume is cut. The moment of inertia of cube about an axis passing through its centre and perpendicular to one of its faces is

Discussion

1710.	From a water fall, water is falling at the rate of 100 kg/s on the blades of turbine. If the height of the fall is 100m then the power delivered to the turbine is approximately equal to
Answer» From a water fall, water is falling at the rate of 100 kg/s on the blades of turbine. If the height of the fall is 100m then the power delivered to the turbine is approximately equal to

Discussion

1711.	The acceleration versus time graph of a particle is shown in figure. The respective v–t graph of the particle is
Answer» The acceleration versus time graph of a particle is shown in figure. The respective $v - t$ graph of the particle is

Discussion

1712.	The L-shaped fish tank shown in the figure is filled with water and is open at the top. If d=5.0 m, what is the ratio of force exerted by the water on face A and face B? (Take g=10 m/s2 and neglect atmospheric pressure)
Answer» The L-shaped fish tank shown in the figure is filled with water and is open at the top. If $d = 5.0 m$ , what is the ratio of force exerted by the water on face A and face B? (Take $g = 10 {m/s}^{2}$ and neglect atmospheric pressure)

Discussion

1713.	The displacement of a particle of the medium due to a wave moving in the positive x− direction is given by y=1(1+x2) at time t=0 and by y=11+(x−1)2 at t=2 second, where x and y are in metre. The velocity of the wave in m/s is
Answer» The displacement of a particle of the medium due to a wave moving in the positive $x -$ direction is given by $y = \frac{1}{(1 + x^{2})}$ at time $t = 0$ and by $y = \frac{1}{1 + {(x - 1)}^{2}}$ at $t = 2$ second, where $x$ and $y$ are in metre. The velocity of the wave in $m/s$ is

Discussion

1714.	The moment of inertia of a uniform disc about the perpendicular axis through its centre of mass is 20 kg m2. Then its moment of inertia about an axis along its diameter and in the plane of the disc will be
Answer» The moment of inertia of a uniform disc about the perpendicular axis through its centre of mass is $20 {kg m}^{2}$ . Then its moment of inertia about an axis along its diameter and in the plane of the disc will be

Discussion

1715.	A man of mass m is standing on weighing machine in an elevator accelerating upwards with an acceleration a. What will be the reading of weighing machine?
Answer» A man of mass $m$ is standing on weighing machine in an elevator accelerating upwards with an acceleration $a$ . What will be the reading of weighing machine?

Discussion

1716.	A train has each compartment of mass ‘m′ is accelerating uniformly. The velocity of the engine is V1 and the velocity of the last compartment is V2. Find the velocity of the compartment in the middle when it passes the same mile marker assuming that the compartments are of point sizes.
Answer» A train has each compartment of mass $‘ m^{'}$ is accelerating uniformly. The velocity of the engine is $V_{1}$ and the velocity of the last compartment is $V_{2}$ . Find the velocity of the compartment in the middle when it passes the same mile marker assuming that the compartments are of point sizes.

Discussion

1717.	Find the angular momentum of the particle of mass 0.05 kg, position vector →r=(8^i+4^j) m and moving with a velocity 2^i m/s about the origin.
Answer» Find the angular momentum of the particle of mass $0.05 kg$ , position vector $\to r = (8^i + 4^j) m$ and moving with a velocity $2^i m/s$ about the origin.

Discussion

1718.	A body falls from rest under gravity and travels half of its total path in the last second. Find the time of fall. (Take g=10 ms−2)
Answer» A body falls from rest under gravity and travels half of its total path in the last second. Find the time of fall. (Take $g = 10 m s^{- 2}$ )

Discussion

1719.	A force →F=−k(y^i+x^j), where k is a constant, acts on a particle moving in the x-y plane. Starting from the origin, the particle is taken from the origin (0,0) to the point (a,0) and then from the point (a,0) to the point (a,a). The total work done by the force →F on the particle is
Answer» A force $\to F = - k (y^i + x^j)$ , where $k$ is a constant, acts on a particle moving in the x-y plane. Starting from the origin, the particle is taken from the origin $(0, 0)$ to the point $(a, 0)$ and then from the point $(a, 0)$ to the point $(a, a)$ . The total work done by the force $\to F$ on the particle is

Discussion

1720.	Before we tackle a constant volume situation for an ideal gas let us think about an equivalent problem, where we keep the pressure constant, while volume is allowed to increase. If γ is the coefficient of volume expansion at a temperature T, which of the following is true?
Answer» Before we tackle a constant volume situation for an ideal gas let us think about an equivalent problem, where we keep the pressure constant, while volume is allowed to increase. If $γ$ is the coefficient of volume expansion at a temperature $T$ , which of the following is true?

Discussion

1721.	Work done by 0.1 mole of a gas at 27∘C to double its volume at constant pressure is[Take R=2 cal mol−1K−1]
Answer» Work done by $0.1 mole$ of a gas at $27^{\circ} C$ to double its volume at constant pressure is [Take $R = 2 {cal mol}^{- 1} K^{- 1}$ ]

Discussion

1722.	Vector →A having magnitude 5 N makes an angle 53∘ North of East, →B makes 37∘ North of West, magnitude of the resultant is 13 N. Find the magnitude of the vector →B.
Answer» Vector $\to A$ having magnitude $5 N$ makes an angle $53^{\circ}$ North of East, $\to B$ makes $37^{\circ}$ North of West, magnitude of the resultant is $13 N$ . Find the magnitude of the vector $\to B$ .

Discussion

1723.	A particle, which is constrained to move along the x-axis, is subjected to a force in the same direction which varies with the distance x of the particle from the origin as F(x)=−kx+ax3. Here k and a are positive constants. For x≥0, the functional form of the potential energy U(x) of the particle is
Answer» A particle, which is constrained to move along the x-axis, is subjected to a force in the same direction which varies with the distance x of the particle from the origin as $F (x) = - k x + a x^{3}$ . Here k and a are positive constants. For $x \geq 0$ , the functional form of the potential energy U(x) of the particle is

Discussion

1724.	A uniform rod of mass M and length 2 m lies on a smooth horizontal table. A particle of mass m moving on the table with a velocity u strikes the rod perpendicularly at an end and stops there. Find the distance travelled by the center of the rod (in metres) by the time it turns through a right angle. Given M=4m.
Answer» A uniform rod of mass $M$ and length $2 m$ lies on a smooth horizontal table. A particle of mass $m$ moving on the table with a velocity $u$ strikes the rod perpendicularly at an end and stops there. Find the distance travelled by the center of the rod (in metres) by the time it turns through a right angle. Given $M = 4 m$ .

Discussion

1725.	If T is the surface tension of a liquid, then the energy needed to break the liquid drop of radius R into 64 identical drops is
Answer» If $T$ is the surface tension of a liquid, then the energy needed to break the liquid drop of radius $R$ into $64$ identical drops is

Discussion

1726.	A 700 g solid cube having an edge of length 10 cm floats in water. How much volume of the cube is outside the water? Density of water =1 g/cm3.
Answer» A $700 g$ solid cube having an edge of length $10 cm$ floats in water. How much volume of the cube is outside the water? Density of water $= 1 {g/cm}^{3} .$

Discussion

1727.	A particle is falling freely under the action of gravity. It covers a distance x1 in the first ′t′ seconds and distance x2 in the next ′t′ seconds, then ′t′ is given by
Answer» A particle is falling freely under the action of gravity. It covers a distance $x_{1}$ in the first $^{'} t^{'}$ seconds and distance $x_{2}$ in the next $^{'} t^{'}$ seconds, then $^{'} t^{'}$ is given by

Discussion

1728.	A man of mass 60 kg is pulling a mass M by an inextensible light rope passing through a smooth and massless pulley as shown. μ between the ground and the man is 0.5. Find the maximum value of M that can be pulled slowly by the man without slipping on the ground.
Answer» A man of mass $60 kg$ is pulling a mass $M$ by an inextensible light rope passing through a smooth and massless pulley as shown. $μ$ between the ground and the man is $0.5$ . Find the maximum value of $M$ that can be pulled slowly by the man without slipping on the ground.

Discussion

1729.	A body is executing simple harmonic motion. At a displacement x, its potential energy is E1 and at a displacement y, its potential energy is E2. The potential energy E at a displacement (x+y) is(Assume that potential energy at mean position is zero)
Answer» A body is executing simple harmonic motion. At a displacement $x$ , its potential energy is $E_{1}$ and at a displacement $y$ , its potential energy is $E_{2}$ . The potential energy $E$ at a displacement $(x + y)$ is (Assume that potential energy at mean position is zero)

Discussion

1730.	The position of a particle travelling along x - axis is given by xt = t3 - 9 t2 + 6t where xt is in m and t is in second . Then 1) the particle does not come to rest at all.2) the particle comes to rest firstly at (3 - √7 ) s and then at (3 + √7) s3) the speed of the particle at t= 2s is 18 ms−14) the acceleration of the particle at t= 2s is 6 ms−2
Answer» The position of a particle travelling along x - axis is given by $x_{t}$ = $t^{3}$ - 9 $t^{2}$ + 6t where $x_{t}$ is in m and t is in second . Then 1) the particle does not come to rest at all. 2) the particle comes to rest firstly at (3 - $\sqrt{7}$ ) s and then at (3 + $\sqrt{7}$ ) s 3) the speed of the particle at t= 2s is 18 m $s^{- 1}$ 4) the acceleration of the particle at t= 2s is 6 m $s^{- 2}$

1730.

The position of a particle travelling along x - axis is given by xt = t3 - 9 t2 + 6t where xt is in m and t is in second . Then 1) the particle does not come to rest at all.2) the particle comes to rest firstly at (3 - √7 ) s and then at (3 + √7) s3) the speed of the particle at t= 2s is 18 ms−14) the acceleration of the particle at t= 2s is 6 ms−2

Answer»

The position of a particle travelling along x - axis is given by $x_{t}$ = $t^{3}$ - 9 $t^{2}$ + 6t where $x_{t}$ is in m and t is in second . Then

1) the particle does not come to rest at all.

2) the particle comes to rest firstly at (3 - $\sqrt{7}$ ) s and then at (3 + $\sqrt{7}$ ) s

3) the speed of the particle at t= 2s is 18 m $s^{- 1}$

4) the acceleration of the particle at t= 2s is 6 m $s^{- 2}$

Discussion

1731.	A wooden cube just floats inside water with a 400 gm mass placed on it. When the mass is removed, the cube floats with its top surface 4 cm above the water level. What is the side of the cube?
Answer» A wooden cube just floats inside water with a $400 gm$ mass placed on it. When the mass is removed, the cube floats with its top surface $4 cm$ above the water level. What is the side of the cube?

Discussion

1732.	A train travels from city A to city B with a constant speed of 10 ms−1 and return back to city A with a constant speed of 20 ms−1. Find its average speed during its entire journey.
Answer» A train travels from city A to city B with a constant speed of 10 $m s^{- 1}$ and return back to city A with a constant speed of 20 $m s^{- 1}$ . Find its average speed during its entire journey.

Discussion

1733.	If →A=4^i−2^j+6^k and →B=^i−2^j−3^k, the angle which the →A−→B vector makes with x-axis is
Answer» If $\to A = 4^i - 2^j + 6^k and \to B =^i - 2^j - 3^k$ , the angle which the $\to A - \to B$ vector makes with x-axis is

Discussion

1734.	In the figure shown, for an angle of incidence 45^{\circ}at the top surface, what is the minimum refractive index needed for total internal reflection at vertical face
Answer» In the figure shown, for an angle of incidence 45^{\circ}at the top surface, what is the minimum refractive index needed for total internal reflection at vertical face

Discussion

1735.	A small mass starts sliding down a fixed inclined plane of inclination 45∘ with the horizontal. The coefficient of friction is μ=μ0x where x is the distance through which the mass slides down and μ0 is a constant. Find the distance covered by the mass along the inclined plane before it stops.
Answer» A small mass starts sliding down a fixed inclined plane of inclination $45^{\circ}$ with the horizontal. The coefficient of friction is $μ = μ_{0} x$ where $x$ is the distance through which the mass slides down and $μ_{0}$ is a constant. Find the distance covered by the mass along the inclined plane before it stops.

Discussion

1736.	Two blocks A and B of mass mA=1 kg and mB=3 kg are kept on the table as shown in figure. The coefficient of friction between A and B is 0.2 and between B and the surface of the table is also 0.2. The maximum force F (in newtons) that can be applied on B horizontally, so that the block A does not slide over the block B is [Take , g=10 m/s2]
Answer» Two blocks A and B of mass $m_{A} = 1 k g$ and $m_{B} = 3 k g$ are kept on the table as shown in figure. The coefficient of friction between A and B is $0.2$ and between B and the surface of the table is also $0.2$ . The maximum force $F$ (in newtons) that can be applied on B horizontally, so that the block A does not slide over the block B is [Take , $g = 10 m / s^{2}]$

Discussion

1737.	A weightless rod of length 2l carries two equal masses ′m′, one tied at lower end A and the other at the middle of the rod at B. The rod can rotate in a vertical plane about a fixed horizontal axis passing through C. The rod is released from rest from the horizontal position. The speed of the mass B at the instant the rod becomes vertical is:
Answer» A weightless rod of length $2 l$ carries two equal masses $^{'} m^{'}$ , one tied at lower end $A$ and the other at the middle of the rod at $B$ . The rod can rotate in a vertical plane about a fixed horizontal axis passing through $C$ . The rod is released from rest from the horizontal position. The speed of the mass $B$ at the instant the rod becomes vertical is:

Discussion

1738.	A ball is thrown vertically with a velocity of 5 m/s towards the ground from the top of a building of height 10 m. What is the change in its speed, when the ball is about to hit the ground? Take g=10 m/s2.
Answer» A ball is thrown vertically with a velocity of $5 m / s$ towards the ground from the top of a building of height $10 m$ . What is the change in its speed, when the ball is about to hit the ground? Take $g = 10 m / s^{2}$ .

Discussion

1739.	What should be the value of coefficient of static friction between the tyre and the road, when a car travelling at speed of 60 kmh−1 makes a level turn of radius 40 m?
Answer» What should be the value of coefficient of static friction between the tyre and the road, when a car travelling at speed of $60 k m h^{- 1}$ makes a level turn of radius $40 m$ ?

Discussion

1740.	The kinetic energy possessed by a body of mass m moving with a velocity v is equal to 12mv2 , provided
Answer» The kinetic energy possessed by a body of mass m moving with a velocity v is equal to $\frac{1}{2} m v^{2}$ , provided

Discussion

1741.	The diagram shows the biasing of an n-p-n transistor in common emitter configuration used in an amplifier. The design of the transistor is such that 98% of the charge carriers from emitter reach the collector. If base current changes from 50 μA to 100 μA, then the corresponding change in the voltage across the load resistance RL will be
Answer» The diagram shows the biasing of an n-p-n transistor in common emitter configuration used in an amplifier. The design of the transistor is such that $98 %$ of the charge carriers from emitter reach the collector. If base current changes from $50 μ A$ to $100 μ A$ , then the corresponding change in the voltage across the load resistance $R_{L}$ will be

Discussion

1742.	The coefficient of expansion of an inhomogenous rod changes linearly from α1 to α2 from one end to other end of the rod. The effective coefficient of linear expansion of the rod is:
Answer» The coefficient of expansion of an inhomogenous rod changes linearly from $α_{1}$ to $α_{2}$ from one end to other end of the rod. The effective coefficient of linear expansion of the rod is:

Discussion

1743.	Find the time period of meeting of minute hand and second hand of a clock.
Answer» Find the time period of meeting of minute hand and second hand of a clock.

Discussion

1744.	A closed hollow insulated cylinder is filled with gas at 0oC and also contains an insulated piston of negligible weight and negligible thickness at the middle point. The gas on one side is heated to 100oC. If the piston moves through 5 cm, the length of the hollow cylinder is
Answer» A closed hollow insulated cylinder is filled with gas at $0^{o} C$ and also contains an insulated piston of negligible weight and negligible thickness at the middle point. The gas on one side is heated to $100^{o} C$ . If the piston moves through 5 cm, the length of the hollow cylinder is

Discussion

1745.	Pipe 1 has the radius and length of 0.2 m and 50 m respectively connected with the pipe 2 having radius and length of 0.4 m and 100 m respectively. Find the total resistance offered to the flow of water by the system of pipes, Ignoring the resistance offered by the joint.(η is the viscosity of water)
Answer» Pipe $1$ has the radius and length of $0.2 m$ and $50 m$ respectively connected with the pipe $2$ having radius and length of $0.4 m$ and $100 m$ respectively. Find the total resistance offered to the flow of water by the system of pipes, Ignoring the resistance offered by the joint. ( $η$ is the viscosity of water)

Discussion

1746.	A stone is dropped into a river from a bridge 125 m above the water. Another stone is thrown vertically down 1.00s after the front is dropped. The stones strike the water at the same time. Which of these is the position time curve of the two stones as seen by a person who is standing directly below the point from where they are projected?
Answer» A stone is dropped into a river from a bridge 125 m above the water. Another stone is thrown vertically down 1.00s after the front is dropped. The stones strike the water at the same time. Which of these is the position time curve of the two stones as seen by a person who is standing directly below the point from where they are projected?

1746.

A stone is dropped into a river from a bridge 125 m above the water. Another stone is thrown vertically down 1.00s after the front is dropped. The stones strike the water at the same time. Which of these is the position time curve of the two stones as seen by a person who is standing directly below the point from where they are projected?

Answer»

A stone is dropped into a river from a bridge 125 m above the water. Another stone is thrown vertically down 1.00s after the front is dropped. The stones strike the water at the same time.

Which of these is the position time curve of the two stones as seen by a person who is standing directly below the point from where they are projected?

Discussion

1747.	A gaseous mixture enclosed in a vessel of volume ′V′ consists of 2 gram mole of gas A and 4 gram mole of gas B at a certain temperature T. The gram molecular weights of the gases A and B are 4 and 16 respectively. The molecular weight of the mixture will be
Answer» A gaseous mixture enclosed in a vessel of volume $^{'} V^{'}$ consists of $2$ gram mole of gas $A$ and $4$ gram mole of gas $B$ at a certain temperature $T$ . The gram molecular weights of the gases $A$ and $B$ are $4$ and $16$ respectively. The molecular weight of the mixture will be

Discussion

1748.	A parallel-plate capacitor has plates of area A and separation d and is charged to a potential difference V. The charging battery is then disconnected and the plates are pulled apart until their separation is 2d. What is the work required to separate the plates?
Answer» A parallel-plate capacitor has plates of area $A$ and separation $d$ and is charged to a potential difference $V$ . The charging battery is then disconnected and the plates are pulled apart until their separation is $2 d$ . What is the work required to separate the plates?

Discussion

1749.	The sum of vectors A, D and E will be
Answer» The sum of vectors A, D and E will be

1749.

The sum of vectors A, D and E will be

Answer»

The sum of vectors A, D and E will be

Discussion

1750.	Find the MOI of the uniform rod about the given axis
Answer» Find the MOI of the uniform rod about the given axis

Discussion

Explore topic-wise InterviewSolutions in .

A parachutist after bailing out falls 50 m without friction. When parachute opens, it decelerates at 2 m/s2. He reaches the ground with a speed of 3 m/s. At what height, did he bail out?

A 2 volt battery, a 15Ω resistor and a potentiometer of 100 cm length, all are connected in series. If the resistance of potentiometer wire is 5Ω, then the potential gradient of the potentiometer wire is

Evaluate : ∫41(8√t−12√t3)dt

One mole of a monoatomic gas is heated using PV32=const. Find the amount of heat obtained in the process, when the temperature changes by ΔT=−26 K

The conductivity of a material is 5 mho/m. What is it’s resistivity?

Calculate the torque developed by an airplane engine whose output is 3200 HP at an angular velocity of 2400 rev/min. (1 HP=746 J/s)

The displacement of a particle varies with time t as: s=αt2−βt3. Determine the time (t) at which acceleration of the particle becomes 0.

From a solid sphere of mass M and radius R, a cube of maximum possible volume is cut. The moment of inertia of cube about an axis passing through its centre and perpendicular to one of its faces is

From a water fall, water is falling at the rate of 100 kg/s on the blades of turbine. If the height of the fall is 100m then the power delivered to the turbine is approximately equal to

The acceleration versus time graph of a particle is shown in figure. The respective v–t graph of the particle is

The L-shaped fish tank shown in the figure is filled with water and is open at the top. If d=5.0 m, what is the ratio of force exerted by the water on face A and face B? (Take g=10 m/s2 and neglect atmospheric pressure)

The displacement of a particle of the medium due to a wave moving in the positive x− direction is given by y=1(1+x2) at time t=0 and by y=11+(x−1)2 at t=2 second, where x and y are in metre. The velocity of the wave in m/s is

The moment of inertia of a uniform disc about the perpendicular axis through its centre of mass is 20 kg m2. Then its moment of inertia about an axis along its diameter and in the plane of the disc will be

A man of mass m is standing on weighing machine in an elevator accelerating upwards with an acceleration a. What will be the reading of weighing machine?

A train has each compartment of mass ‘m′ is accelerating uniformly. The velocity of the engine is V1 and the velocity of the last compartment is V2. Find the velocity of the compartment in the middle when it passes the same mile marker assuming that the compartments are of point sizes.

Find the angular momentum of the particle of mass 0.05 kg, position vector →r=(8^i+4^j) m and moving with a velocity 2^i m/s about the origin.

A body falls from rest under gravity and travels half of its total path in the last second. Find the time of fall. (Take g=10 ms−2)

A force →F=−k(y^i+x^j), where k is a constant, acts on a particle moving in the x-y plane. Starting from the origin, the particle is taken from the origin (0,0) to the point (a,0) and then from the point (a,0) to the point (a,a). The total work done by the force →F on the particle is

Before we tackle a constant volume situation for an ideal gas let us think about an equivalent problem, where we keep the pressure constant, while volume is allowed to increase. If γ is the coefficient of volume expansion at a temperature T, which of the following is true?

Work done by 0.1 mole of a gas at 27∘C to double its volume at constant pressure is[Take R=2 cal mol−1K−1]

Vector →A having magnitude 5 N makes an angle 53∘ North of East, →B makes 37∘ North of West, magnitude of the resultant is 13 N. Find the magnitude of the vector →B.

If T is the surface tension of a liquid, then the energy needed to break the liquid drop of radius R into 64 identical drops is

A 700 g solid cube having an edge of length 10 cm floats in water. How much volume of the cube is outside the water? Density of water =1 g/cm3.

A particle is falling freely under the action of gravity. It covers a distance x1 in the first ′t′ seconds and distance x2 in the next ′t′ seconds, then ′t′ is given by

A man of mass 60 kg is pulling a mass M by an inextensible light rope passing through a smooth and massless pulley as shown. μ between the ground and the man is 0.5. Find the maximum value of M that can be pulled slowly by the man without slipping on the ground.

A body is executing simple harmonic motion. At a displacement x, its potential energy is E1 and at a displacement y, its potential energy is E2. The potential energy E at a displacement (x+y) is(Assume that potential energy at mean position is zero)

A wooden cube just floats inside water with a 400 gm mass placed on it. When the mass is removed, the cube floats with its top surface 4 cm above the water level. What is the side of the cube?

A train travels from city A to city B with a constant speed of 10 ms−1 and return back to city A with a constant speed of 20 ms−1. Find its average speed during its entire journey.

If →A=4^i−2^j+6^k and →B=^i−2^j−3^k, the angle which the →A−→B vector makes with x-axis is

In the figure shown, for an angle of incidence 45^{\circ}at the top surface, what is the minimum refractive index needed for total internal reflection at vertical face

A small mass starts sliding down a fixed inclined plane of inclination 45∘ with the horizontal. The coefficient of friction is μ=μ0x where x is the distance through which the mass slides down and μ0 is a constant. Find the distance covered by the mass along the inclined plane before it stops.

A ball is thrown vertically with a velocity of 5 m/s towards the ground from the top of a building of height 10 m. What is the change in its speed, when the ball is about to hit the ground? Take g=10 m/s2.

What should be the value of coefficient of static friction between the tyre and the road, when a car travelling at speed of 60 kmh−1 makes a level turn of radius 40 m?

The kinetic energy possessed by a body of mass m moving with a velocity v is equal to 12mv2 , provided

The coefficient of expansion of an inhomogenous rod changes linearly from α1 to α2 from one end to other end of the rod. The effective coefficient of linear expansion of the rod is:

Find the time period of meeting of minute hand and second hand of a clock.

A closed hollow insulated cylinder is filled with gas at 0oC and also contains an insulated piston of negligible weight and negligible thickness at the middle point. The gas on one side is heated to 100oC. If the piston moves through 5 cm, the length of the hollow cylinder is

A gaseous mixture enclosed in a vessel of volume ′V′ consists of 2 gram mole of gas A and 4 gram mole of gas B at a certain temperature T. The gram molecular weights of the gases A and B are 4 and 16 respectively. The molecular weight of the mixture will be

A parallel-plate capacitor has plates of area A and separation d and is charged to a potential difference V. The charging battery is then disconnected and the plates are pulled apart until their separation is 2d. What is the work required to separate the plates?

The sum of vectors A, D and E will be

Find the MOI of the uniform rod about the given axis