3731 + Interview Questions in Physics Page 60 InterviewSolution

2951.	What is the maximum value of the force F such that the block shown in the arrangement, does not move ? (Take g=10 m/s2)
Answer» What is the maximum value of the force $F$ such that the block shown in the arrangement, does not move ? (Take $g = 10 {m/s}^{2}$ )

Discussion

2952.	A laser beam of visible light is shined perpendicular to a magnetic field. Which of the following may happen
Answer» A laser beam of visible light is shined perpendicular to a magnetic field. Which of the following may happen

Discussion

2953.	A body of mass 2 kg is moving uniformly with the velocity of (2^i+3^j+4^k) m/s. Find its kinetic energy.
Answer» A body of mass $2 kg$ is moving uniformly with the velocity of $(2^i + 3^j + 4^k) m/s$ . Find its kinetic energy.

Discussion

2954.	At a height of 0.4 m from the ground, the velocity of a projectile is →v=(6^i+2^j) m/s . The angle of projection is (g=10 m/s2 ).
Answer» At a height of $0.4 m$ from the ground, the velocity of a projectile is $\to v = (6^i + 2^j) m/s$ . The angle of projection is ( $g = 10 {m/s}^{2}$ ).

Discussion

2955.	A railway carriage of mass 8000 kg is moving with the speed of 54 km/hr and collides inelastically with the another stationary carriage of same mass. Find the loss in kinetic energy in this process.(Assume perfectly inelastic collision)
Answer» A railway carriage of mass $8000 kg$ is moving with the speed of $54 km/hr$ and collides inelastically with the another stationary carriage of same mass. Find the loss in kinetic energy in this process. (Assume perfectly inelastic collision)

Discussion

2956.	A man of mass M stands on a weighing machine in an elevator accelerating upwards with an acceleration a0 . Calculate the reading of the weighing machine
Answer» A man of mass M stands on a weighing machine in an elevator accelerating upwards with an acceleration $a_{0}$ . Calculate the reading of the weighing machine

2956.

A man of mass M stands on a weighing machine in an elevator accelerating upwards with an acceleration a0 . Calculate the reading of the weighing machine

Answer»

A man of mass M stands on a weighing machine in an elevator accelerating upwards with an acceleration $a_{0}$ . Calculate the reading of the weighing machine

Discussion

2957.	A uniform rod of length l and mass m is hung from two strings of equal length from a ceiling as shown in figure. Determine the tensions in the strings?
Answer» A uniform rod of length $l$ and mass $m$ is hung from two strings of equal length from a ceiling as shown in figure. Determine the tensions in the strings?

Discussion

2958.	A transverse wave having amplitude A=4π m and frequency f=2 Hz is travelling on a string of linear mass-density μ=1 kg/m. If the total kinetic energy associated with one wavelength of the wave is 16 J. Then the wavelength of the transverse wave is
Answer» A transverse wave having amplitude $A = \frac{4}{π} m$ and frequency $f = 2 Hz$ is travelling on a string of linear mass-density $μ = 1 kg/m$ . If the total kinetic energy associated with one wavelength of the wave is $16 J$ . Then the wavelength of the transverse wave is

Discussion

2959.	In the figure shown, 6 kg body is at a distance of 16 m from the support at t=0. The string is cut at t=1 s after the system is released from rest. Find the time (in sec) after which the 6 kg block will hit the support. Take g=10 ms2.
Answer» In the figure shown, $6 k g$ body is at a distance of $16 m$ from the support at $t = 0$ . The string is cut at $t = 1 s$ after the system is released from rest. Find the time $(in sec)$ after which the $6 k g$ block will hit the support. Take $g = 10 \frac{m}{s^{2}} .$

Discussion

2960.	A car starts from rest and accelerates uniformly to a speed of 90 km/h in 5 s. The distance covered by the car in this time interval is
Answer» A car starts from rest and accelerates uniformly to a speed of $90 km/h$ in $5 s$ . The distance covered by the car in this time interval is

Discussion

2961.	Inside a hollow charged spherical conductor, the potential
Answer» Inside a hollow charged spherical conductor, the potential

Discussion

2962.	A neutron of mass 1.67×10−27kg is moving with a velocity 1.2×107ms−1 collides head-on with a deuteron of mass 3.34×10−27kg initially at rest. If the collision is perfectly inelastic, the speed of the composite particle will be
Answer» A neutron of mass $1.67 \times 10^{- 27} k g$ is moving with a velocity $1.2 \times 10^{7} m s^{- 1}$ collides head-on with a deuteron of mass $3.34 \times 10^{- 27} k g$ initially at rest. If the collision is perfectly inelastic, the speed of the composite particle will be

Discussion

2963.	A force F acts between sodium and chlorine ions of salt (sodium chloride) when put 1 cm apart in air. The permittivity of air and dielectric constant of water are ε0 and K respectively. When a piece of salt is put in water electrical force acting between sodium and chlorine ions 1 cm apart is
Answer» A force F acts between sodium and chlorine ions of salt (sodium chloride) when put 1 cm apart in air. The permittivity of air and dielectric constant of water are $ε_{0}$ and K respectively. When a piece of salt is put in water electrical force acting between sodium and chlorine ions 1 cm apart is

Discussion

2964.	A satellite moves in a circle around the earth. The radius of this circle is equal to one half the radius of the moon's orbit. This satellite completes one revolution in
Answer» A satellite moves in a circle around the earth. The radius of this circle is equal to one half the radius of the moon's orbit. This satellite completes one revolution in

Discussion

2965.	A 4 kg block is on a smooth horizontal table. The block is connected to a second block of mass 1 kg by a massless flexible taught cord that passes over a frictionless pulley. The 1 kg block is 1 m above the floor. The two blocks are released from rest. With what speed (in m/s) does the 1 kg block hit the ground?
Answer» A $4 kg$ block is on a smooth horizontal table. The block is connected to a second block of mass $1 kg$ by a massless flexible taught cord that passes over a frictionless pulley. The $1 kg$ block is $1 m$ above the floor. The two blocks are released from rest. With what speed (in $m/s$ ) does the $1 kg$ block hit the ground?

Discussion

2966.	The fundamental frequency in an open organ pipe is equal to the third harmonic of a closed organ pipe. If the length of the closed organ pipe is 20 cm, the length of the open organ pipe is
Answer» The fundamental frequency in an open organ pipe is equal to the third harmonic of a closed organ pipe. If the length of the closed organ pipe is $20 c m$ , the length of the open organ pipe is

Discussion

2967.	A circular plate of uniform thickness has a radius, a=10 cm. A circular portion of radius, b=1 cm is removed from the plate as shown in figure. Find the position of center of mass of the remaining part of the circular plate. (Take O to be the origin)
Answer» A circular plate of uniform thickness has a radius, $a = 10 cm$ . A circular portion of radius, $b = 1 cm$ is removed from the plate as shown in figure. Find the position of center of mass of the remaining part of the circular plate. (Take $O$ to be the origin)

Discussion

2968.	A body starts from rest. What is the ratio of the distance travelled by the body during the 4th and 3rd second ?
Answer» A body starts from rest. What is the ratio of the distance travelled by the body during the $4^{t h}$ and $3^{r d}$ second ?

Discussion

2969.	There are three different liquids (liquid 1, liquid 2 and liquid 3) having density 13.6 gm/cc., 1.3 gm/cc and 0.8 gm/cc. Liquid 1 is poured in a uniform U-tube, which is kept vertical. Liquid 2 & liquid 3 are poured separately into the two arms till upper surface of liquid 2 & 3 are same. What is the height of liquid 3 if the height of liquid 2 is 16cm?
Answer» There are three different liquids (liquid 1, liquid 2 and liquid 3) having density 13.6 gm/cc., 1.3 gm/cc and 0.8 gm/cc. Liquid 1 is poured in a uniform U-tube, which is kept vertical. Liquid 2 & liquid 3 are poured separately into the two arms till upper surface of liquid 2 & 3 are same. What is the height of liquid 3 if the height of liquid 2 is 16cm?

Discussion

2970.	Three particles of masses 1 kg,2 kg and 3 kg are situated at the corners of an equilateral triangle of side b. The (x,y) coordinates respectively for the centre of mass of the system of particles will be:
Answer» Three particles of masses $1 kg, 2 kg$ and $3 kg$ are situated at the corners of an equilateral triangle of side $b$ . The $(x, y)$ coordinates respectively for the centre of mass of the system of particles will be:

Discussion

2971.	Three identical discs (D1, D2, D3) are arranged as shown in figure. The moment of inertia of the system about the axis OO′ is given by Nmr2. Then, the value of N is
Answer» Three identical discs $(D_{1}, D_{2}, D_{3})$ are arranged as shown in figure. The moment of inertia of the system about the axis $O O^{'}$ is given by $N m r^{2}$ . Then, the value of $N$ is

Discussion

2972.	The fraunhofer diffraction pattern of a single slit is formed at the focal plane of a lens of focal length f. The distance between 1st and 2nd maxima on screen is y and a is slit width. Then the wave length of light used is
Answer» The fraunhofer diffraction pattern of a single slit is formed at the focal plane of a lens of focal length $f$ . The distance between $1^{s t}$ and $2^{n d}$ maxima on screen is $y$ and $a$ is slit width. Then the wave length of light used is

Discussion

2973.	The unit vector parallel to the resultant of the vectors→A=4^i+3^j+6^k and →B=−^i+3^j−8^k is
Answer» The unit vector parallel to the resultant of the vectors $\to A = 4^i + 3^j + 6^k$ and $\to B = -^i + 3^j - 8^k$ is

Discussion

2974.	A block of mass m kg strikes an obstacle and moves at an angle of 90∘ to its original direction. If its speed does not change, find the impulse acting on the block.
Answer» A block of mass $m kg$ strikes an obstacle and moves at an angle of $90^{\circ}$ to its original direction. If its speed does not change, find the impulse acting on the block.

Discussion

2975.	This question has statement I and Statement II. Of the four choices given after the statements, choose the one that best describes the two statements. Statement I A point particle of mass m moving with speed v collides with stationary point particle of mass M. If the maximum energy loss possible is given as f(12mv2), then f=(mM+m) Assertion and Reason
Answer» This question has statement I and Statement II. Of the four choices given after the statements, choose the one that best describes the two statements. Statement I A point particle of mass m moving with speed v collides with stationary point particle of mass M. If the maximum energy loss possible is given as $f (\frac{1}{2} m v^{2}), t h e n f = (\frac{m}{M} + m)$ Assertion and Reason

Discussion

2976.	A vertical U – tube of uniform cross – sectional area A contains a liquid of density ρ The total length of the liquid column in the tube is L. the liquid column is disturbed by gently blowing into the tube. If viscous effects are neglected, the time period of the resulting oscillation of the liquid column is given by
Answer» A vertical U – tube of uniform cross – sectional area A contains a liquid of density $ρ$ The total length of the liquid column in the tube is L. the liquid column is disturbed by gently blowing into the tube. If viscous effects are neglected, the time period of the resulting oscillation of the liquid column is given by

Discussion

2977.	A thin lens of focal length f and its aperture diameter d, forms a real image of intensity I. Now the central part of the aperture of diameter (d2) is blocked by an opaque paper. The focal length and image intensity would change to
Answer» A thin lens of focal length $f$ and its aperture diameter $d$ , forms a real image of intensity $I$ . Now the central part of the aperture of diameter $(\frac{d}{2})$ is blocked by an opaque paper. The focal length and image intensity would change to

Discussion

2978.	A scooter is going round a circular road of radius 100 m at a speed of 10 m/s. The angular speed of the scooter will be
Answer» A scooter is going round a circular road of radius 100 m at a speed of 10 m/s. The angular speed of the scooter will be

Discussion

2979.	Two forces −→F1=(2^i+2^j)N and −→F2=(3^j+4^k)N are acting on a particle. The angle between −→F1 and −→F2 is
Answer» Two forces $_{1} = (2^i + 2^j) N$ and $_{2} = (3^j + 4^k) N$ are acting on a particle. The angle between $_{1} and_{2}$ is

Discussion

2980.	A block of mass (m=1 kg) is released from rest over a circular curved path, as shown in diagram. The work done (in joules) by normal force, when block is displaced by θ=45∘ is
Answer» A block of mass $(m = 1 k g)$ is released from rest over a circular curved path, as shown in diagram. The work done (in joules) by normal force, when block is displaced by $θ = 45^{\circ}$ is

Discussion

2981.	Calculate the thermal efficiency of a Carnot's heat engine working between ice point and steam point.
Answer» Calculate the thermal efficiency of a Carnot's heat engine working between ice point and steam point.

Discussion

2982.	If a function is increasing at a point, then the slope of it is
Answer» If a function is increasing at a point, then the slope of it is

Discussion

2983.	When a small sphere moves at low speed through a fluid, the viscous force F, opposing the motion is experimentally found to depend upon the radius r, the velocity v of the sphere and the viscosity η of the fluid. Expression of force is proportional toHint: [η]=[ML−1T−1]
Answer» When a small sphere moves at low speed through a fluid, the viscous force $F$ , opposing the motion is experimentally found to depend upon the radius $r$ , the velocity $v$ of the sphere and the viscosity $η$ of the fluid. Expression of force is proportional to Hint: $[η] = [M L^{- 1} T^{- 1}]$

Discussion

2984.	The graph between the lateral magnification (m) produced by a lens and the distance of the image (v) is given by [MP PMT 1994]
Answer» The graph between the lateral magnification (m) produced by a lens and the distance of the image (v) is given by [MP PMT 1994]

2984.

The graph between the lateral magnification (m) produced by a lens and the distance of the image (v) is given by [MP PMT 1994]

Answer»

The graph between the lateral magnification (m) produced by a lens and the distance of the image (v) is given by

[MP PMT 1994]

Discussion

2985.	Two masses m1 and m2 which are connected with a light string, are placed over a frictionless pulley. This set up is placed over a weighing machine, as shown. Three combination of masses m1 and m2 are used, in first case m1=6 kg and m2=2 kg, In second case m1=5 kg and m2=3kg and in third case m1=4 kg and m2=4 kg. Masses are held stationary initially and then released. If the readings of the weighing machine after the release in three cases are W1,W2 and W3 respectively then:
Answer» Two masses $m_{1} a n d m_{2}$ which are connected with a light string, are placed over a frictionless pulley. This set up is placed over a weighing machine, as shown. Three combination of masses $m_{1} a n d m_{2}$ are used, in first case $m_{1} = 6 k g a n d m_{2} = 2 k g,$ In second case $m_{1} = 5 k g a n d m_{2} = 3 k g$ and in third case $m_{1} = 4 k g a n d m_{2} = 4 k g .$ Masses are held stationary initially and then released. If the readings of the weighing machine after the release in three cases are $W_{1}, W_{2} a n d W_{3}$ respectively then:

Discussion

2986.	A block of mass m on a rough horizontal surface is acted upon by two forces as shown in figure. For equilibrium of block, the coefficient of friction between block and surface is
Answer» A block of mass $m$ on a rough horizontal surface is acted upon by two forces as shown in figure. For equilibrium of block, the coefficient of friction between block and surface is

Discussion

2987.	A uniform pressure P is exerted on all sides of a solid cube at temperature t∘C. By what amount should the temperature of the cube be raised in order to bring its volume back to the value it had before the pressure was applied? The coefficient of volume expansion of the cube is α and the bulk modulus is β.
Answer» A uniform pressure P is exerted on all sides of a solid cube at temperature $t^{\circ} C$ . By what amount should the temperature of the cube be raised in order to bring its volume back to the value it had before the pressure was applied? The coefficient of volume expansion of the cube is $α$ and the bulk modulus is $β$ .

Discussion

2988.	In the ideal double – slit experiment, when a glass – plate (μ=1.5) of thickness t is introduced in the path of one of the interfering beams (wave–lengthλ), the intensity at the position where the central maximum occurred previously remains unchanged. The minimum thickness of the glass – plate is
Answer» In the ideal double – slit experiment, when a glass – plate $(μ = 1.5)$ of thickness t is introduced in the path of one of the interfering beams $(w a v e - l e n g t h λ)$ , the intensity at the position where the central maximum occurred previously remains unchanged. The minimum thickness of the glass – plate is

Discussion

2989.	The figure shows the graph of the x−coordinate of a particle moving along the x−axis as a function of time. Average velocity during t=0 to t=6 s is
Answer» The figure shows the graph of the $x -$ coordinate of a particle moving along the $x -$ axis as a function of time. Average velocity during $t = 0$ to $t = 6 s$ is

Discussion

2990.	A string is used to pull a block of mass m vertically up by a distance h at a constant acceleration g4. The work done by the tension in the string is
Answer» A string is used to pull a block of mass $m$ vertically up by a distance $h$ at a constant acceleration $\frac{g}{4}$ . The work done by the tension in the string is

Discussion

2991.	An ideal monatomic gas at 300 K expands adiabatically to 8 times its volume. What is the final temperature?
Answer» An ideal monatomic gas at $300 K$ expands adiabatically to $8$ times its volume. What is the final temperature?

Discussion

2992.	A man throws balls (and catches at the same height) with the same speed vertically upwards one after the other at an interval of 2 s. What should be the speed of the throw so that more than two balls are in the sky at any time (Given g=10 m/s2)
Answer» A man throws balls (and catches at the same height) with the same speed vertically upwards one after the other at an interval of $2 s$ . What should be the speed of the throw so that more than two balls are in the sky at any time (Given $g = 10 {m/s}^{2}$ )

Discussion

2993.	A mass 2 kg supported by a massless string wound around a uniform hollow cylinder of mass 2 kg and radius 1 m. If the string does not slip on the cylinder, then acceleration of mass is -
Answer» A mass $2 kg$ supported by a massless string wound around a uniform hollow cylinder of mass $2 kg$ and radius $1 m$ . If the string does not slip on the cylinder, then acceleration of mass is -

Discussion

2994.	A small hole of area of cross-section 2 mm2 is present near the bottom of a fully filled open tank of height 2 m. Taking g=10 m/s2 , the rate of flow of water through the open hole would be nearly
Answer» A small hole of area of cross-section $2 m m^{2}$ is present near the bottom of a fully filled open tank of height 2 $m$ . Taking $g = 10 m / s^{2}$ , the rate of flow of water through the open hole would be nearly

Discussion

2995.	A rigid rod of mass m, with a ball of mass M attached to the free end is restrained to oscillate in a vertical plane as shown in the figure. Find the natural frequency of oscillation.
Answer» A rigid rod of mass $m$ , with a ball of mass $M$ attached to the free end is restrained to oscillate in a vertical plane as shown in the figure. Find the natural frequency of oscillation.

Discussion

2996.	A coil of resistance 20 Ω and inductance 5 H has been connected to a 100 V battery and the switch is closed at t=0. After how much time will the current acquire half of its steady state value. (ln2=0.693)
Answer» A coil of resistance $20 Ω$ and inductance $5 H$ has been connected to a $100 V$ battery and the switch is closed at $t = 0$ . After how much time will the current acquire half of its steady state value. ( $ln 2 = 0.693)$

Discussion

2997.	If a charge of 500μ C is given to a isolated thin conducting plate and 200μ C gets reside on one of its face, what will be the charge on its other face?
Answer» If a charge of $500 μ C$ is given to a isolated thin conducting plate and $200 μ C$ gets reside on one of its face, what will be the charge on its other face?

Discussion

2998.	A steel ball is suspended from the ceiling of an accelerating carriage by means of two cords A and B. Determine the acceleration a ( in m/s2) of the carriage which will cause the tension in A to be twice that in B
Answer» A steel ball is suspended from the ceiling of an accelerating carriage by means of two cords $A$ and $B$ . Determine the acceleration $a$ ( in ${m/s}^{2}$ ) of the carriage which will cause the tension in A to be twice that in B

Discussion

2999.	A ball at rest is projected horizontally from a table in front of a vertical plane mirror as shown in the figure. At any time t, the velocity of image with respect to ground can be written as :
Answer» A ball at rest is projected horizontally from a table in front of a vertical plane mirror as shown in the figure. At any time $t$ , the velocity of image with respect to ground can be written as :

Discussion

3000.	A projectile is fired from the surface of the earth with a velocity of 5 ms−1 and angle θ with the horizontal. Another projectile fired from another planet with a velocity of 3 ms−1 at the same angle follows a trajectory which is identical with the trajectory of the projectile fired from the earth. The value of the acceleration due to gravity on the planet (in ms−2) is(Given g=9.8 ms−2)
Answer» A projectile is fired from the surface of the earth with a velocity of $5 {ms}^{- 1}$ and angle $θ$ with the horizontal. Another projectile fired from another planet with a velocity of $3 {ms}^{- 1}$ at the same angle follows a trajectory which is identical with the trajectory of the projectile fired from the earth. The value of the acceleration due to gravity on the planet (in ${ms}^{- 2}$ ) is (Given $g = 9.8 {ms}^{- 2}$ )

Discussion

Explore topic-wise InterviewSolutions in .

What is the maximum value of the force F such that the block shown in the arrangement, does not move ? (Take g=10 m/s2)

A laser beam of visible light is shined perpendicular to a magnetic field. Which of the following may happen

A body of mass 2 kg is moving uniformly with the velocity of (2^i+3^j+4^k) m/s. Find its kinetic energy.

At a height of 0.4 m from the ground, the velocity of a projectile is →v=(6^i+2^j) m/s . The angle of projection is (g=10 m/s2 ).

A railway carriage of mass 8000 kg is moving with the speed of 54 km/hr and collides inelastically with the another stationary carriage of same mass. Find the loss in kinetic energy in this process.(Assume perfectly inelastic collision)

A man of mass M stands on a weighing machine in an elevator accelerating upwards with an acceleration a0 . Calculate the reading of the weighing machine

A uniform rod of length l and mass m is hung from two strings of equal length from a ceiling as shown in figure. Determine the tensions in the strings?

A transverse wave having amplitude A=4π m and frequency f=2 Hz is travelling on a string of linear mass-density μ=1 kg/m. If the total kinetic energy associated with one wavelength of the wave is 16 J. Then the wavelength of the transverse wave is

In the figure shown, 6 kg body is at a distance of 16 m from the support at t=0. The string is cut at t=1 s after the system is released from rest. Find the time (in sec) after which the 6 kg block will hit the support. Take g=10 ms2.

A car starts from rest and accelerates uniformly to a speed of 90 km/h in 5 s. The distance covered by the car in this time interval is

Inside a hollow charged spherical conductor, the potential

A neutron of mass 1.67×10−27kg is moving with a velocity 1.2×107ms−1 collides head-on with a deuteron of mass 3.34×10−27kg initially at rest. If the collision is perfectly inelastic, the speed of the composite particle will be

A force F acts between sodium and chlorine ions of salt (sodium chloride) when put 1 cm apart in air. The permittivity of air and dielectric constant of water are ε0 and K respectively. When a piece of salt is put in water electrical force acting between sodium and chlorine ions 1 cm apart is

A satellite moves in a circle around the earth. The radius of this circle is equal to one half the radius of the moon's orbit. This satellite completes one revolution in

The fundamental frequency in an open organ pipe is equal to the third harmonic of a closed organ pipe. If the length of the closed organ pipe is 20 cm, the length of the open organ pipe is

A circular plate of uniform thickness has a radius, a=10 cm. A circular portion of radius, b=1 cm is removed from the plate as shown in figure. Find the position of center of mass of the remaining part of the circular plate. (Take O to be the origin)

A body starts from rest. What is the ratio of the distance travelled by the body during the 4th and 3rd second ?

Three particles of masses 1 kg,2 kg and 3 kg are situated at the corners of an equilateral triangle of side b. The (x,y) coordinates respectively for the centre of mass of the system of particles will be:

Three identical discs (D1, D2, D3) are arranged as shown in figure. The moment of inertia of the system about the axis OO′ is given by Nmr2. Then, the value of N is

The fraunhofer diffraction pattern of a single slit is formed at the focal plane of a lens of focal length f. The distance between 1st and 2nd maxima on screen is y and a is slit width. Then the wave length of light used is

The unit vector parallel to the resultant of the vectors→A=4^i+3^j+6^k and →B=−^i+3^j−8^k is

A block of mass m kg strikes an obstacle and moves at an angle of 90∘ to its original direction. If its speed does not change, find the impulse acting on the block.

A thin lens of focal length f and its aperture diameter d, forms a real image of intensity I. Now the central part of the aperture of diameter (d2) is blocked by an opaque paper. The focal length and image intensity would change to

A scooter is going round a circular road of radius 100 m at a speed of 10 m/s. The angular speed of the scooter will be

Two forces −→F1=(2^i+2^j)N and −→F2=(3^j+4^k)N are acting on a particle. The angle between −→F1 and −→F2 is

A block of mass (m=1 kg) is released from rest over a circular curved path, as shown in diagram. The work done (in joules) by normal force, when block is displaced by θ=45∘ is

Calculate the thermal efficiency of a Carnot's heat engine working between ice point and steam point.

If a function is increasing at a point, then the slope of it is

When a small sphere moves at low speed through a fluid, the viscous force F, opposing the motion is experimentally found to depend upon the radius r, the velocity v of the sphere and the viscosity η of the fluid. Expression of force is proportional toHint: [η]=[ML−1T−1]

The graph between the lateral magnification (m) produced by a lens and the distance of the image (v) is given by [MP PMT 1994]

A block of mass m on a rough horizontal surface is acted upon by two forces as shown in figure. For equilibrium of block, the coefficient of friction between block and surface is

The figure shows the graph of the x−coordinate of a particle moving along the x−axis as a function of time. Average velocity during t=0 to t=6 s is

A string is used to pull a block of mass m vertically up by a distance h at a constant acceleration g4. The work done by the tension in the string is

An ideal monatomic gas at 300 K expands adiabatically to 8 times its volume. What is the final temperature?

A man throws balls (and catches at the same height) with the same speed vertically upwards one after the other at an interval of 2 s. What should be the speed of the throw so that more than two balls are in the sky at any time (Given g=10 m/s2)

A mass 2 kg supported by a massless string wound around a uniform hollow cylinder of mass 2 kg and radius 1 m. If the string does not slip on the cylinder, then acceleration of mass is -

A small hole of area of cross-section 2 mm2 is present near the bottom of a fully filled open tank of height 2 m. Taking g=10 m/s2 , the rate of flow of water through the open hole would be nearly

A rigid rod of mass m, with a ball of mass M attached to the free end is restrained to oscillate in a vertical plane as shown in the figure. Find the natural frequency of oscillation.

A coil of resistance 20 Ω and inductance 5 H has been connected to a 100 V battery and the switch is closed at t=0. After how much time will the current acquire half of its steady state value. (ln2=0.693)

If a charge of 500μ C is given to a isolated thin conducting plate and 200μ C gets reside on one of its face, what will be the charge on its other face?

A steel ball is suspended from the ceiling of an accelerating carriage by means of two cords A and B. Determine the acceleration a ( in m/s2) of the carriage which will cause the tension in A to be twice that in B

A ball at rest is projected horizontally from a table in front of a vertical plane mirror as shown in the figure. At any time t, the velocity of image with respect to ground can be written as :