3731 + Interview Questions in Physics Page 34 InterviewSolution

1651.	A force →F=(5^i+3^j+2^k) N is applied over a particle which displaces it to a point having position vector→r=(2^i−^j) m from origin. The work done on the particle (in J) is
Answer» A force $\to F = (5^i + 3^j + 2^k) N$ is applied over a particle which displaces it to a point having position vector $\to r = (2^i -^j) m$ from origin. The work done on the particle (in $J$ ) is

Discussion

1652.	Rain is falling vertically with a velocity of 15 ms−1. A person rides a bicycle with a speed of 15 ms−1 in the west to east direction. What is the direction (angle with vertical) in which he should hold his umbrella to save himself from the rain?
Answer» Rain is falling vertically with a velocity of $15 m s^{- 1}$ . A person rides a bicycle with a speed of $15 m s^{- 1}$ in the west to east direction. What is the direction (angle with vertical) in which he should hold his umbrella to save himself from the rain?

Discussion

1653.	The closest numerical value to the ratio of permittivity of vaccum and gravitqtional constant is
Answer» The closest numerical value to the ratio of permittivity of vaccum and gravitqtional constant is

Discussion

1654.	Pressure equation of a sound wave is P=0.02sin(3000t−9x) where all quantities are in SI unit. The frequency and speed of sound wave is
Answer» Pressure equation of a sound wave is $P = 0.02 sin (3000 t - 9 x)$ where all quantities are in $SI$ unit. The frequency and speed of sound wave is

Discussion

1655.	Find the centre of mass of a rectangular lamina having sides 8 m and 6 m as shown in figure. [Take O as origin]
Answer» Find the centre of mass of a rectangular lamina having sides $8 m$ and $6 m$ as shown in figure. [Take $O$ as origin]

Discussion

1656.	Four identical plates are arranged as shown and are alternately connected to the and -ve terminals A and B as shown. Find ceff of the system.
Answer» Four identical plates are arranged as shown and are alternately connected to the and -ve terminals A and B as shown. Find ceff of the system.

Discussion

1657.	In a closed organ pipe of length 105 cm, standing waves are set up corresponding to the third overtone. At what minimum distance from the closed end a pressure node is formed?
Answer» In a closed organ pipe of length $105 cm$ , standing waves are set up corresponding to the third overtone. At what minimum distance from the closed end a pressure node is formed?

Discussion

1658.	A block kept on a rough inclined plane, as shown in the figure remains at rest upto a maximum force 2 N down the inclined plane. The maximum external force up the inclined plane that does not move the block is 10 N. The coefficient of static friction between the block and the plane is(Take g=10 m/s2)
Answer» A block kept on a rough inclined plane, as shown in the figure remains at rest upto a maximum force $2 N$ down the inclined plane. The maximum external force up the inclined plane that does not move the block is $10 N$ . The coefficient of static friction between the block and the plane is (Take $g = 10 m / s^{2})$

Discussion

1659.	Figure shows solenoid with 'n' turns per unit length and current 'i'. Magnetic field at P can be given as
Answer» Figure shows solenoid with 'n' turns per unit length and current 'i'. Magnetic field at P can be given as

Discussion

1660.	A black body at 227 ∘C radiates heat at the rate of 7 cal/cm2s. At a temperature of 727 ∘C, the rate of heat radiated in the same unit will be -
Answer» A black body at $227^{\circ} C$ radiates heat at the rate of $7 {cal/cm}^{2} s$ . At a temperature of $727^{\circ} C$ , the rate of heat radiated in the same unit will be -

Discussion

1661.	A car is moving on a straight horizontal road with a speed v. When brakes are applied to give a constant retardation a, the car covers distance S before coming to rest. If the car were moving with a speed 3v and the same retardation a is applied, the distance that the car travels will be
Answer» A car is moving on a straight horizontal road with a speed $v$ . When brakes are applied to give a constant retardation $a$ , the car covers distance $S$ before coming to rest. If the car were moving with a speed $3 v$ and the same retardation $a$ is applied, the distance that the car travels will be

Discussion

1662.	From the previous problem at what angle to the horizontal must be steered in order to reach a point on the opposite bank directly east from the starting point? (Assuming his speed w.r.t. to the river is 4 m/s)
Answer» From the previous problem at what angle to the horizontal must be steered in order to reach a point on the opposite bank directly east from the starting point? (Assuming his speed w.r.t. to the river is 4 m/s)

Discussion

1663.	Charge in the form of a plane sheet with density σ=40μ C/m2 is located at z=–0.5 m. A uniform line of charge of density λ=−6μ C/m lies along the y− axis. Net flux that crosses the surface of cube 2 m as an edge, centered at the origin as shown, is K10−6ε0NCm2. Then value of K is
Answer» Charge in the form of a plane sheet with density $σ = 40 μ {C/m}^{2}$ is located at $z = - 0.5 m$ . A uniform line of charge of density $λ = - 6 μ C/m$ lies along the $y -$ axis. Net flux that crosses the surface of cube $2 m$ as an edge, centered at the origin as shown, is $K \frac{10^{- 6}}{ε_{0}} \frac{N}{C} m^{2}$ . Then value of $K$ is

Discussion

1664.	The figure shows the face and interface temperature of a composite slab consisting of four materials, of identical thickness, through which the heat transfer is steady. Which material has minimum thermal conductivity?
Answer» The figure shows the face and interface temperature of a composite slab consisting of four materials, of identical thickness, through which the heat transfer is steady. Which material has minimum thermal conductivity?

Discussion

1665.	The total energy of a particle performing SHM is E. What will be the kinetic energy of the particle, when displacement is half of the amplitude?
Answer» The total energy of a particle performing $SHM$ is $E$ . What will be the kinetic energy of the particle, when displacement is half of the amplitude?

Discussion

1666.	Consider a small positive charge q and mass m placed as shown, between two positive charges Q (fixed) each. For a small push given to q as shown, find the time period of simple harmonic oscillations.
Answer» Consider a small positive charge $q$ and mass $m$ placed as shown, between two positive charges $Q$ (fixed) each. For a small push given to $q$ as shown, find the time period of simple harmonic oscillations.

Discussion

1667.	A variable force F is applied on a block such that F∝t, at an angle θ with the horizontal as shown in figure. Given (μs>μk). Find the correct graph between frictional force and time. (where t= time)
Answer» A variable force $F$ is applied on a block such that $F \propto t$ , at an angle $θ$ with the horizontal as shown in figure. Given $(μ_{s} > μ_{k})$ . Find the correct graph between frictional force and time. (where $t =$ time)

Discussion

1668.	Two sound waves with wavelengths 5 m and 5.5 m respectively, propagates in a gas with velocity 330 m/s. The number of beats per second will be
Answer» Two sound waves with wavelengths $5 m$ and $5.5 m$ respectively, propagates in a gas with velocity $330 m/s$ . The number of beats per second will be

Discussion

1669.	The velocity of a particle moving in a curvilinear path varies with time as →v=2t2^i+t3^j m/s where t is in seconds. At the end of t=1 s, the value of tangential acceleration is
Answer» The velocity of a particle moving in a curvilinear path varies with time as $\to v = 2 t^{2}^i + t^{3}^j m/s$ where $t$ is in seconds. At the end of $t = 1 s$ , the value of tangential acceleration is

Discussion

1670.	A man of mass 50 kg is standing on a platform of mass 200 kg kept on a smooth horizontal surface. The man starts moving on the platform with a velocity 20 km/hr relative to the platform. Find the recoil speed of the platform.
Answer» A man of mass $50 kg$ is standing on a platform of mass $200 kg$ kept on a smooth horizontal surface. The man starts moving on the platform with a velocity $20 km/hr$ relative to the platform. Find the recoil speed of the platform.

Discussion

1671.	Which of the following force is conservative force?
Answer» Which of the following force is conservative force?

Discussion

1672.	One mole of an ideal gas is expanded from the state A(P0,V0) to final state B having volume V. The process follows a path represented by a straight line on the P-V diagram (see figure).If final temperature at B is half the maximum temperature during the process, find volume (V) ?
Answer» One mole of an ideal gas is expanded from the state $A (P_{0}, V_{0})$ to final state $B$ having volume $V$ . The process follows a path represented by a straight line on the P-V diagram (see figure). If final temperature at $B$ is half the maximum temperature during the process, find volume $(V)$ ?

Discussion

1673.	A particle projected from ground moves at an angle 45∘ with horizontal one second after projection and speed is minimum two seconds after the projection. The angle of projection of particle is[Neglect the effect of air resistance]
Answer» A particle projected from ground moves at an angle $45^{\circ}$ with horizontal one second after projection and speed is minimum two seconds after the projection. The angle of projection of particle is [Neglect the effect of air resistance]

Discussion

1674.	A bead 'B' is threaded on a smooth circular wire frame of radius r. The radius at a certain position of the bead makes an angle θ with the vertical axis. The entire frame is rotated with an angular speed ω about the vertical axis. The distance of the bead from the vertical axis is R. If the bead is in equilibrium (with respect to the rotating frame), then identify the correct statements:
Answer» A bead 'B' is threaded on a smooth circular wire frame of radius $r$ . The radius at a certain position of the bead makes an angle $θ$ with the vertical axis. The entire frame is rotated with an angular speed $ω$ about the vertical axis. The distance of the bead from the vertical axis is $R$ . If the bead is in equilibrium (with respect to the rotating frame), then identify the correct statements:

Discussion

1675.	Image is formed for the short sighted person at [AFMC 1988]
Answer» Image is formed for the short sighted person at [AFMC 1988]

1675.

Image is formed for the short sighted person at [AFMC 1988]

Answer»

Image is formed for the short sighted person at

[AFMC 1988]

Discussion

1676.	A body of mass 4 kg moving with a speed of 6 m/s collides with another body of mass 8 kg at rest. The lighter body comes to rest immediately after the collision. Find the coefficient of restitution (e) for the collision.
Answer» A body of mass $4 kg$ moving with a speed of $6 m/s$ collides with another body of mass $8 kg$ at rest. The lighter body comes to rest immediately after the collision. Find the coefficient of restitution $(e)$ for the collision.

Discussion

1677.	A block of mass M is tied to one end of a massless rope. The other end of the rope is in the hands of a man of mass 2M as shown in Fig. The block and the man are resting on a rough wedge of mass M. The whole system is resting on a smooth horizontal surface. The man starts walking towards right while holding the rope in his hands. Pulley is massless and frictionless. Find the displacement (in m) of the wedge when the block meets the pulley. Assume wedge is sufficiently long so that man does not fall down.
Answer» A block of mass M is tied to one end of a massless rope. The other end of the rope is in the hands of a man of mass 2M as shown in Fig. The block and the man are resting on a rough wedge of mass M. The whole system is resting on a smooth horizontal surface. The man starts walking towards right while holding the rope in his hands. Pulley is massless and frictionless. Find the displacement (in m) of the wedge when the block meets the pulley. Assume wedge is sufficiently long so that man does not fall down.

Discussion

1678.	A pilot of mass 75 kg in a jet aircraft executes a loop with a constant speed of 360 km/hr. If the radius of the loop is 200 m, the force exerted by seat on the pilot at the top of the loop is (Take g=10 m/s2)
Answer» A pilot of mass $75 kg$ in a jet aircraft executes a loop with a constant speed of $360 km/hr$ . If the radius of the loop is $200 m$ , the force exerted by seat on the pilot at the top of the loop is $(Take g = 10 {m/s}^{2})$

Discussion

1679.	A rod of mass m is supported on a wedge of mass M as shown in figure. Find the accelerations of rod a and wedge A in the arrangement. Assume that the friction between all contact surfaces is negligible.
Answer» A rod of mass m is supported on a wedge of mass M as shown in figure. Find the accelerations of rod a and wedge A in the arrangement. Assume that the friction between all contact surfaces is negligible.

1679.

A rod of mass m is supported on a wedge of mass M as shown in figure. Find the accelerations of rod a and wedge A in the arrangement. Assume that the friction between all contact surfaces is negligible.

Answer»

A rod of mass m is supported on a wedge of mass M as shown in figure. Find the accelerations of rod a and wedge A in the arrangement. Assume that the friction between all contact surfaces is negligible.

Discussion

1680.	An uniform flexible chain of mass m and length l hangs in equilibrium over a smooth horizontal pin of negligible diameter. One end of the chain is given a small vertical displacement so that the chain slips over the pin. The speed of chain when it leaves pin is
Answer» An uniform flexible chain of mass $m$ and length $l$ hangs in equilibrium over a smooth horizontal pin of negligible diameter. One end of the chain is given a small vertical displacement so that the chain slips over the pin. The speed of chain when it leaves pin is

Discussion

1681.	If I had a long cylindrical balloon filled with air and I leave it out in the open for a while. Will the gases arrange themselves according to their density ?
Answer» If I had a long cylindrical balloon filled with air and I leave it out in the open for a while. Will the gases arrange themselves according to their density ?

Discussion

1682.	A tangential force (F) is applied on the surface of the cuboidal box as shown in figure. Find out the shearing strain.
Answer» A tangential force $(F)$ is applied on the surface of the cuboidal box as shown in figure. Find out the shearing strain.

Discussion

1683.	A stone is dropped into a lake by a man from a tower of height 500 m. The sound of the splash will be heard by the man after [velocity of sound in air =340 ms−1]
Answer» A stone is dropped into a lake by a man from a tower of height $500 m$ . The sound of the splash will be heard by the man after [velocity of sound in air $= 340 {ms}^{- 1}$ ]

Discussion

1684.	Steady flow is also called?
Answer» Steady flow is also called?

Discussion

1685.	Current in a coil increases from 0 to 1 ampere in 0.1 second. If self inductance of the coil is 5 millihenry, magnitude of induced emf is
Answer» Current in a coil increases from 0 to 1 ampere in 0.1 second. If self inductance of the coil is 5 millihenry, magnitude of induced emf is

Discussion

1686.	An elongation of 0.4% in a wire of cross section area 10−6 m2 causes a restoring force of 80 N. Then, the young's modulus of wire is___(N/m2).
Answer» An elongation of 0.4% in a wire of cross section area $10^{- 6} m^{2}$ causes a restoring force of 80 N. Then, the young's modulus of wire is___ $(N / m^{2})$ .

Discussion

1687.	Two wave with same frequency and wave number are propagating in the same direction. The ratio of their amplitude is 5:1 . If interference occurs, the ratio of maximum and minimum intensity should be
Answer» Two wave with same frequency and wave number are propagating in the same direction. The ratio of their amplitude is $5 : 1$ . If interference occurs, the ratio of maximum and minimum intensity should be

Discussion

1688.	A particle free to move along the x-axis has potential energy given by U(x)=k(1−e−x2) For −∞<x<∞, where k is a positive constant of appropriate dimensions. Then
Answer» A particle free to move along the x-axis has potential energy given by $U (x) = k (1 - e^{- x^{2}})$ For $- \infty < x < \infty$ , where k is a positive constant of appropriate dimensions. Then

Discussion

1689.	A circular plate of uniform thickness has a diameter of 28 cm. A circular portion of diameter 21 cm is removed from the plate as shown. Take the origin at the center of mass of the complete plate. The position of the center of mass of the remaining portion will shift towards left from the origin by
Answer» A circular plate of uniform thickness has a diameter of $28 cm$ . A circular portion of diameter $21 cm$ is removed from the plate as shown. Take the origin at the center of mass of the complete plate. The position of the center of mass of the remaining portion will shift towards left from the origin by

Discussion

1690.	A closed cubical vessel is given a horizontal acceleration a. Find the value of a such that pressure at the mid point M of AC is equal to pressure at N.
Answer» A closed cubical vessel is given a horizontal acceleration $a$ . Find the value of $a$ such that pressure at the mid point $M$ of $AC$ is equal to pressure at $N$ .

Discussion

1691.	Find the acceleration of the two bodies (A and B), if the system shown is initially at rest.Take g=10 m/s2.
Answer» Find the acceleration of the two bodies ( $A$ and $B$ ), if the system shown is initially at rest. Take $g = 10 {m/s}^{2}$ .

Discussion

1692.	A 2V battery is connected across the points A and B as shown in the figure given below. Assuming that the resistance of each diode is zero in forward bias and infinity in reverse bias, the current supplied by the battery when its positive terminal is connected to A is
Answer» A 2V battery is connected across the points A and B as shown in the figure given below. Assuming that the resistance of each diode is zero in forward bias and infinity in reverse bias, the current supplied by the battery when its positive terminal is connected to A is

1692.

A 2V battery is connected across the points A and B as shown in the figure given below. Assuming that the resistance of each diode is zero in forward bias and infinity in reverse bias, the current supplied by the battery when its positive terminal is connected to A is

Answer»

A 2V battery is connected across the points A and B as shown in the figure given below. Assuming that the resistance of each diode is zero in forward bias and infinity in reverse bias, the current supplied by the battery when its positive terminal is connected to A is

Discussion

1693.	A particle of charge q and mass m starts moving from the origin under the action of an electric field →E=E0^i and →B=B0^i with velocity →v=v0^j. The speed of the particle will become 2v0 after time
Answer» A particle of charge $q$ and mass $m$ starts moving from the origin under the action of an electric field $\to E = E_{0}^i$ and $\to B = B_{0}^i$ with velocity $\to v = v_{0}^j$ . The speed of the particle will become $2 v_{0}$ after time

Discussion

1694.	A cylinder of radius R and length L is placed in a uniform electric field E parallel to the cylinder axis. The total flux for the surface of the cylinder is given by
Answer» A cylinder of radius R and length L is placed in a uniform electric field E parallel to the cylinder axis. The total flux for the surface of the cylinder is given by

1694.

A cylinder of radius R and length L is placed in a uniform electric field E parallel to the cylinder axis. The total flux for the surface of the cylinder is given by

Answer»

A cylinder of radius R and length L is placed in a uniform electric field E parallel to the cylinder axis. The total flux for the surface of the cylinder is given by

Discussion

1695.	The potential energy of a body of mass 2 kg in a conservative field is U=(6x−8y) J. If the initial velocity of the body is →u=(−1.5^i+2^j) m/s, then the total distance travelled by the particle in the first two seconds is
Answer» The potential energy of a body of mass $2 kg$ in a conservative field is $U = (6 x - 8 y) J$ . If the initial velocity of the body is $\to u = (- 1.5^i + 2^j) m/s$ , then the total distance travelled by the particle in the first two seconds is

Discussion

1696.	A sinusoidal voltage of peak value 200 volt is connected to a diode and resistor R in the circuit shown so that half wave rectification occurs. If the forward resistance of the diode is negligible compared to R the rms voltage (in volt) across R is approximately
Answer» A sinusoidal voltage of peak value 200 volt is connected to a diode and resistor R in the circuit shown so that half wave rectification occurs. If the forward resistance of the diode is negligible compared to R the rms voltage (in volt) across R is approximately

Discussion

1697.	Two particles of equal mass are revolving in circular path of radii 5 m and 10 m respectively, with the same speed. The ratio of the centripetal force acting on each particle is
Answer» Two particles of equal mass are revolving in circular path of radii $5 m$ and $10 m$ respectively, with the same speed. The ratio of the centripetal force acting on each particle is

Discussion

1698.	When the temperature of an ideal gas is increased by 600 K, the speed of sound in it become √3 times the initial speed. The initial temperature of the gas is
Answer» When the temperature of an ideal gas is increased by $600 K$ , the speed of sound in it become $\sqrt{3}$ times the initial speed. The initial temperature of the gas is

Discussion

1699.	A force of 100 N needs to be applied parallel to a smooth inclined plane just to hold a body on it. The angle of inclination of the inclined plane is 30∘. How much horizontal force needs to be applied to do the same?
Answer» A force of 100 N needs to be applied parallel to a smooth inclined plane just to hold a body on it. The angle of inclination of the inclined plane is $30^{\circ}$ . How much horizontal force needs to be applied to do the same?

Discussion

1700.	Which of the following is not a reason behind rainbow formation?
Answer» Which of the following is not a reason behind rainbow formation?

Discussion

Explore topic-wise InterviewSolutions in .

A force →F=(5^i+3^j+2^k) N is applied over a particle which displaces it to a point having position vector→r=(2^i−^j) m from origin. The work done on the particle (in J) is

Rain is falling vertically with a velocity of 15 ms−1. A person rides a bicycle with a speed of 15 ms−1 in the west to east direction. What is the direction (angle with vertical) in which he should hold his umbrella to save himself from the rain?

The closest numerical value to the ratio of permittivity of vaccum and gravitqtional constant is

Pressure equation of a sound wave is P=0.02sin(3000t−9x) where all quantities are in SI unit. The frequency and speed of sound wave is

Find the centre of mass of a rectangular lamina having sides 8 m and 6 m as shown in figure. [Take O as origin]

Four identical plates are arranged as shown and are alternately connected to the and -ve terminals A and B as shown. Find ceff of the system.

In a closed organ pipe of length 105 cm, standing waves are set up corresponding to the third overtone. At what minimum distance from the closed end a pressure node is formed?

Figure shows solenoid with 'n' turns per unit length and current 'i'. Magnetic field at P can be given as

A black body at 227 ∘C radiates heat at the rate of 7 cal/cm2s. At a temperature of 727 ∘C, the rate of heat radiated in the same unit will be -

A car is moving on a straight horizontal road with a speed v. When brakes are applied to give a constant retardation a, the car covers distance S before coming to rest. If the car were moving with a speed 3v and the same retardation a is applied, the distance that the car travels will be

From the previous problem at what angle to the horizontal must be steered in order to reach a point on the opposite bank directly east from the starting point? (Assuming his speed w.r.t. to the river is 4 m/s)

Charge in the form of a plane sheet with density σ=40μ C/m2 is located at z=–0.5 m. A uniform line of charge of density λ=−6μ C/m lies along the y− axis. Net flux that crosses the surface of cube 2 m as an edge, centered at the origin as shown, is K10−6ε0NCm2. Then value of K is

The figure shows the face and interface temperature of a composite slab consisting of four materials, of identical thickness, through which the heat transfer is steady. Which material has minimum thermal conductivity?

The total energy of a particle performing SHM is E. What will be the kinetic energy of the particle, when displacement is half of the amplitude?

Consider a small positive charge q and mass m placed as shown, between two positive charges Q (fixed) each. For a small push given to q as shown, find the time period of simple harmonic oscillations.

A variable force F is applied on a block such that F∝t, at an angle θ with the horizontal as shown in figure. Given (μs&gt;μk). Find the correct graph between frictional force and time. (where t= time)

Two sound waves with wavelengths 5 m and 5.5 m respectively, propagates in a gas with velocity 330 m/s. The number of beats per second will be

The velocity of a particle moving in a curvilinear path varies with time as →v=2t2^i+t3^j m/s where t is in seconds. At the end of t=1 s, the value of tangential acceleration is

A man of mass 50 kg is standing on a platform of mass 200 kg kept on a smooth horizontal surface. The man starts moving on the platform with a velocity 20 km/hr relative to the platform. Find the recoil speed of the platform.

Which of the following force is conservative force?

One mole of an ideal gas is expanded from the state A(P0,V0) to final state B having volume V. The process follows a path represented by a straight line on the P-V diagram (see figure).If final temperature at B is half the maximum temperature during the process, find volume (V) ?

A particle projected from ground moves at an angle 45∘ with horizontal one second after projection and speed is minimum two seconds after the projection. The angle of projection of particle is[Neglect the effect of air resistance]

Image is formed for the short sighted person at [AFMC 1988]

A body of mass 4 kg moving with a speed of 6 m/s collides with another body of mass 8 kg at rest. The lighter body comes to rest immediately after the collision. Find the coefficient of restitution (e) for the collision.

A pilot of mass 75 kg in a jet aircraft executes a loop with a constant speed of 360 km/hr. If the radius of the loop is 200 m, the force exerted by seat on the pilot at the top of the loop is (Take g=10 m/s2)

A rod of mass m is supported on a wedge of mass M as shown in figure. Find the accelerations of rod a and wedge A in the arrangement. Assume that the friction between all contact surfaces is negligible.

An uniform flexible chain of mass m and length l hangs in equilibrium over a smooth horizontal pin of negligible diameter. One end of the chain is given a small vertical displacement so that the chain slips over the pin. The speed of chain when it leaves pin is

If I had a long cylindrical balloon filled with air and I leave it out in the open for a while. Will the gases arrange themselves according to their density ?

A tangential force (F) is applied on the surface of the cuboidal box as shown in figure. Find out the shearing strain.

A stone is dropped into a lake by a man from a tower of height 500 m. The sound of the splash will be heard by the man after [velocity of sound in air =340 ms−1]

Steady flow is also called?

Current in a coil increases from 0 to 1 ampere in 0.1 second. If self inductance of the coil is 5 millihenry, magnitude of induced emf is

An elongation of 0.4% in a wire of cross section area 10−6 m2 causes a restoring force of 80 N. Then, the young's modulus of wire is___(N/m2).

Two wave with same frequency and wave number are propagating in the same direction. The ratio of their amplitude is 5:1 . If interference occurs, the ratio of maximum and minimum intensity should be

A particle free to move along the x-axis has potential energy given by U(x)=k(1−e−x2) For −∞&lt;x&lt;∞, where k is a positive constant of appropriate dimensions. Then

A circular plate of uniform thickness has a diameter of 28 cm. A circular portion of diameter 21 cm is removed from the plate as shown. Take the origin at the center of mass of the complete plate. The position of the center of mass of the remaining portion will shift towards left from the origin by

A closed cubical vessel is given a horizontal acceleration a. Find the value of a such that pressure at the mid point M of AC is equal to pressure at N.

Find the acceleration of the two bodies (A and B), if the system shown is initially at rest.Take g=10 m/s2.

A 2V battery is connected across the points A and B as shown in the figure given below. Assuming that the resistance of each diode is zero in forward bias and infinity in reverse bias, the current supplied by the battery when its positive terminal is connected to A is

A particle of charge q and mass m starts moving from the origin under the action of an electric field →E=E0^i and →B=B0^i with velocity →v=v0^j. The speed of the particle will become 2v0 after time

A cylinder of radius R and length L is placed in a uniform electric field E parallel to the cylinder axis. The total flux for the surface of the cylinder is given by

The potential energy of a body of mass 2 kg in a conservative field is U=(6x−8y) J. If the initial velocity of the body is →u=(−1.5^i+2^j) m/s, then the total distance travelled by the particle in the first two seconds is

A sinusoidal voltage of peak value 200 volt is connected to a diode and resistor R in the circuit shown so that half wave rectification occurs. If the forward resistance of the diode is negligible compared to R the rms voltage (in volt) across R is approximately

Two particles of equal mass are revolving in circular path of radii 5 m and 10 m respectively, with the same speed. The ratio of the centripetal force acting on each particle is

When the temperature of an ideal gas is increased by 600 K, the speed of sound in it become √3 times the initial speed. The initial temperature of the gas is

A force of 100 N needs to be applied parallel to a smooth inclined plane just to hold a body on it. The angle of inclination of the inclined plane is 30∘. How much horizontal force needs to be applied to do the same?

Which of the following is not a reason behind rainbow formation?

A variable force F is applied on a block such that F∝t, at an angle θ with the horizontal as shown in figure. Given (μs>μk). Find the correct graph between frictional force and time. (where t= time)

A particle free to move along the x-axis has potential energy given by U(x)=k(1−e−x2) For −∞<x<∞, where k is a positive constant of appropriate dimensions. Then