3731 + Interview Questions in Physics Page 58 InterviewSolution

2851.	If x=(3y2+4y+3), then ∫xdy will be
Answer» If $x = (3 y^{2} + 4 y + 3)$ , then $\int x d y$ will be

Discussion

2852.	What is the angle between two vectors →A=3^j−4^k and →B=−2^i+^j+2^k.
Answer» What is the angle between two vectors $\to A = 3^j - 4^k$ and $\to B = - 2^i +^j + 2^k$ .

Discussion

2853.	Two cylinders A and B fitted with pistons contain equal amounts of an ideal diatomic gas at 300 K. The piston of A is free to move, while that of B is held fixed. The same amount of heat is given to the gas in each cylinder. If the rise in temperature of the gas in A is 30 K, then the rise in temperature of the gas in B is:
Answer» Two cylinders $A$ and $B$ fitted with pistons contain equal amounts of an ideal diatomic gas at $300 K$ . The piston of $A$ is free to move, while that of $B$ is held fixed. The same amount of heat is given to the gas in each cylinder. If the rise in temperature of the gas in $A$ is $30 K$ , then the rise in temperature of the gas in $B$ is:

Discussion

2854.	Three liquids of densities d,2d and 3d are mixed in equal volumes. Then the density of the mixture is
Answer» Three liquids of densities $d, 2 d$ and $3 d$ are mixed in equal volumes. Then the density of the mixture is

Discussion

2855.	The cylindrical tube of a spray pump has a cross-section 5 cm2, one end of which has 50 fine holes, each of area 10−8 m2. If the liquid flows inside the tube with a speed of 0.3 m/min, then find the speed with which the liquid is ejected through the holes.
Answer» The cylindrical tube of a spray pump has a cross-section $5 {cm}^{2}$ , one end of which has $50$ fine holes, each of area $10^{- 8} m^{2}$ . If the liquid flows inside the tube with a speed of $0.3 m/min$ , then find the speed with which the liquid is ejected through the holes.

Discussion

2856.	The displacement x of a particle along a straight line at time t is given by x=a0+a1t+a2t3. The acceleration a of the particle at time t=5 is
Answer» The displacement $x$ of a particle along a straight line at time $t$ is given by $x = a_{0} + a_{1} t + a_{2} t^{3}$ . The acceleration $a$ of the particle at time $t = 5$ is

Discussion

2857.	If W1,W2 and W3 represent the work done in moving a particle from A to B along three different paths 1, 2 and 3 respectively (as shown) in the gravitational field of a point mass m, find the correct relation between W1,W2 and W3 [IIT JEE 2003]
Answer» If $W_{1}, W_{2} a n d W_{3}$ represent the work done in moving a particle from A to B along three different paths 1, 2 and 3 respectively (as shown) in the gravitational field of a point mass m, find the correct relation between $W_{1}, W_{2} a n d W_{3}$ [IIT JEE 2003]

2857.

If W1,W2 and W3 represent the work done in moving a particle from A to B along three different paths 1, 2 and 3 respectively (as shown) in the gravitational field of a point mass m, find the correct relation between W1,W2 and W3 [IIT JEE 2003]

Answer»

If $W_{1}, W_{2} a n d W_{3}$ represent the work done in moving a particle from A to B along three different paths 1, 2 and 3 respectively (as shown) in the gravitational field of a point mass m, find the correct relation between $W_{1}, W_{2} a n d W_{3}$ [IIT JEE 2003]

Discussion

2858.	The acceleration of block B in the figure will be
Answer» The acceleration of block B in the figure will be

Discussion

2859.	A spherical shell is cut into two pieces along a chord and separated by a large distance as shown in figure. For points A and B, where V and →E are gravitational potential and field respectively, then
Answer» A spherical shell is cut into two pieces along a chord and separated by a large distance as shown in figure. For points $A$ and $B$ , where $V$ and $\to E$ are gravitational potential and field respectively, then

Discussion

2860.	The length of the wire shown in figure between the pulley is 1.5 m and its mass is 12.0 g. find the frequency of vibration with which the wire vibrates in two loops leaving the middle point of the wire between the pulleys at rest.
Answer» The length of the wire shown in figure between the pulley is 1.5 m and its mass is 12.0 g. find the frequency of vibration with which the wire vibrates in two loops leaving the middle point of the wire between the pulleys at rest.

2860.

The length of the wire shown in figure between the pulley is 1.5 m and its mass is 12.0 g. find the frequency of vibration with which the wire vibrates in two loops leaving the middle point of the wire between the pulleys at rest.

Answer»

The length of the wire shown in figure between the pulley is 1.5 m and its mass is 12.0 g. find the frequency of vibration with which the wire vibrates in two loops leaving the middle point of the wire between the pulleys at rest.

Discussion

2861.	A small ball of mass m starts from rest from point A(b,c) on a smooth slope which is a parabola. The normal force that the ground exerts at the instant, the ball arrives at lowest point (0,0) is
Answer» A small ball of mass $m$ starts from rest from point $A (b, c)$ on a smooth slope which is a parabola. The normal force that the ground exerts at the instant, the ball arrives at lowest point $(0, 0)$ is

Discussion

2862.	If velocity V, acceleration A and force F are taken as fundamental quantities, then the dimensional formula of angular momentum in terms of V, A and F will be
Answer» If velocity $V$ , acceleration $A$ and force $F$ are taken as fundamental quantities, then the dimensional formula of angular momentum in terms of $V, A$ and $F$ will be

Discussion

2863.	For a projectile projected from ground at an angle θ with horizontal, gT2=2R√3, where T is time of fight, R is horizontal range of projectile, g is acceleration due to gravity. The angle of projection (θ) is
Answer» For a projectile projected from ground at an angle $θ$ with horizontal, $g T^{2} = \frac{2 R}{\sqrt{3}}$ , where $T$ is time of fight, $R$ is horizontal range of projectile, $g$ is acceleration due to gravity. The angle of projection $(θ)$ is

Discussion

2864.	A sphere of radius R is in contact with a wedge. The point of contact is R5 from the ground as shown in the figure. Wedge is moving with velocity 20 ms−1 towards left. The velocity of the sphere at this instant will be
Answer» A sphere of radius $R$ is in contact with a wedge. The point of contact is $\frac{R}{5}$ from the ground as shown in the figure. Wedge is moving with velocity $20 m s^{- 1}$ towards left. The velocity of the sphere at this instant will be

Discussion

2865.	Source and observer start moving simultaneously along x and y-axis, respectively. The speed of source is twice the speed of observer, V0. If the ratio of observed frequency to the frequency of the source is 0.75, find the velocity of sound.
Answer» Source and observer start moving simultaneously along x and y-axis, respectively. The speed of source is twice the speed of observer, V₀. If the ratio of observed frequency to the frequency of the source is 0.75, find the velocity of sound.

Discussion

2866.	A 4 kg ball moving to the right at 6 m/s collides with a 5 kg ball ahead of it and moving to the right at speed 2 m/s . Find the magnitude of final velocity of the 4 kg and 5 kg balls respectively, if coefficient of restitution is 0.5.
Answer» A $4 kg$ ball moving to the right at $6 m/s$ collides with a $5 kg$ ball ahead of it and moving to the right at speed $2 m/s$ . Find the magnitude of final velocity of the $4 kg$ and $5 kg$ balls respectively, if coefficient of restitution is $0.5$ .

Discussion

2867.	What is the angle between two forces of equal magnitude such that their resultant is one-fourth as much as either of the original forces?
Answer» What is the angle between two forces of equal magnitude such that their resultant is one-fourth as much as either of the original forces?

Discussion

2868.	A ball moving with a momentum of 5 kg m/s strikes against a wall at an angle of 45° and is reflected at the same angle. Calculate the change in momentum (in magnitude).
Answer» A ball moving with a momentum of $5 kg m/s$ strikes against a wall at an angle of 45° and is reflected at the same angle. Calculate the change in momentum (in magnitude).

Discussion

2869.	Four particles of masses m, m, 2m and 2m are placed at the four corners of a square of side a as shown in the figure. The (x, y) coordinates of the centre of mass are
Answer» Four particles of masses m, m, 2m and 2m are placed at the four corners of a square of side a as shown in the figure. The (x, y) coordinates of the centre of mass are

Discussion

2870.	A motor cycle engine delivers a power of 10 kW by consuming petrol at the rate of 2.4 kg/hr. Find the rate of heat rejection by the exhaust, if the calorific value of petrol is 35.5 MJ/kg.(Neglect the other losses)
Answer» A motor cycle engine delivers a power of $10 kW$ by consuming petrol at the rate of $2.4 kg/hr$ . Find the rate of heat rejection by the exhaust, if the calorific value of petrol is $35.5 MJ/kg$ . (Neglect the other losses)

Discussion

2871.	Find the average velocity of the position function s(t)=2t2−4t on the interval from t=0 sec to t=5 sec.
Answer» Find the average velocity of the position function $s (t) = 2 t^{2} - 4 t$ on the interval from $t = 0 sec$ to $t = 5 sec$ .

Discussion

2872.	When 100 volts dc is supplied across a solenoid, a current of 1.0 amperes flows in it. When 100 volts ac is applied across the same coil, the current drops to 0.5 ampere. If the frequency of ac source is 50 Hz, then the impedance and inductance of the solenoid are
Answer» When 100 volts dc is supplied across a solenoid, a current of 1.0 amperes flows in it. When 100 volts ac is applied across the same coil, the current drops to 0.5 ampere. If the frequency of ac source is 50 Hz, then the impedance and inductance of the solenoid are

Discussion

2873.	A stone thrown from a point on the ground at 30∘ to the horizontal to hit another point on the ground 145 m away, fell short by 5 m. A second trial at a different angle (but the same speed) again fell short by the same distance. What was the difference in their flight times ?
Answer» A stone thrown from a point on the ground at $30^{\circ}$ to the horizontal to hit another point on the ground $145 m$ away, fell short by $5 m$ . A second trial at a different angle (but the same speed) again fell short by the same distance. What was the difference in their flight times ?

Discussion

2874.	Which of the following graphs are related to a mass m attached to spring performing SHM? Symbols have their usual meaning.
Answer» Which of the following graphs are related to a mass m attached to spring performing SHM? Symbols have their usual meaning.

Discussion

2875.	A plane flying horizontally at 100 m/s releases an object which reaches the ground in 10 s. What will be the angle from horizontal, at which it hits the ground? Take g=10 m/s2.
Answer» A plane flying horizontally at $100 m/s$ releases an object which reaches the ground in $10 s$ . What will be the angle from horizontal, at which it hits the ground? Take $g = 10 {m/s}^{2}$ .

Discussion

2876.	A car accelerates uniformly from 13 ms–1 to 31 ms–1 while entering the motorway, covering a distance of 220 m. Then the acceleration of the car will be:
Answer» A car accelerates uniformly from $13 {ms}^{- 1}$ to $31 {ms}^{- 1}$ while entering the motorway, covering a distance of $220 m$ . Then the acceleration of the car will be:

Discussion

2877.	The volume of a metal sphere increased by 0.24 % when its temperature is raised by 40∘C. The coefficient of linear expansion of metal is
Answer» The volume of a metal sphere increased by $0.24$ % when its temperature is raised by $40^{\circ} C$ . The coefficient of linear expansion of metal is

Discussion

2878.	A vessel contains a small amount of water at 0∘C. If the air in the vessel is rapidly pumped out, it causes freezing of the water. What percentage of the water in the container can be frozen by this method? Latent heat of vaporization and fusion are Lv=540 cal g−1and Lf=80 cal g−1 respectively.
Answer» A vessel contains a small amount of water at $0^{\circ} C$ . If the air in the vessel is rapidly pumped out, it causes freezing of the water. What percentage of the water in the container can be frozen by this method? Latent heat of vaporization and fusion are $L_{v} = 540 {cal g}^{- 1}$ and $L_{f} = 80 {cal g}^{- 1}$ respectively.

Discussion

2879.	The work function of a photoelectric material is 3.3 eV. The threshold frequency will be equal to
Answer» The work function of a photoelectric material is 3.3 eV. The threshold frequency will be equal to

Discussion

2880.	A point charge +q is placed on the axis of a closed cylinder of radius R and height 25R12 as shown. If electric flux coming out form the curved surface of cylinder is xq10∈0, then calculate x.
Answer» A point charge + $q$ is placed on the axis of a closed cylinder of radius $R$ and height $\frac{25 R}{12}$ as shown. If electric flux coming out form the curved surface of cylinder is $\frac{x q}{10 \in_{0}}$ , then calculate $x$ .

Discussion

2881.	There are two bodies of masses 100 kg and 10000 kg separated by a distance 1 m. At what distance from the smaller body, the intensity of gravitational field will be zero
Answer» There are two bodies of masses 100 kg and 10000 kg separated by a distance 1 m. At what distance from the smaller body, the intensity of gravitational field will be zero

Discussion

2882.	The F−X curve is shown below. Find the change in potential energy when particle displaces from X=0 m to X=6 m (Assume SI units)
Answer» The $F - X$ curve is shown below. Find the change in potential energy when particle displaces from $X = 0 m$ to $X = 6 m$ (Assume SI units)

Discussion

2883.	Find out acceleration of the block. Initially the block is at rest. μs = 0.5μk = 0.3
Answer» Find out acceleration of the block. Initially the block is at rest. $μ_{s}$ = 0.5 $μ_{k}$ = 0.3

2883.

Find out acceleration of the block. Initially the block is at rest. μs = 0.5μk = 0.3

Answer»

Find out acceleration of the block. Initially the block is at rest.

$μ_{s}$ = 0.5

$μ_{k}$ = 0.3

Discussion

2884.	A force F is applied horizontally on mass m1 as shown in figure. Find the contact force between m1 and m2.
Answer» A force $F$ is applied horizontally on mass $m_{1}$ as shown in figure. Find the contact force between $m_{1}$ and $m_{2}$ .

Discussion

2885.	What is the resistance of a carbon resistance which has bands of colours brown, black and brown
Answer» What is the resistance of a carbon resistance which has bands of colours brown, black and brown

Discussion

2886.	A block of mass 20 kg moving at 2.0 m/s collides head on with another block of equal mass at rest. The maximum possible loss in kinetic energy due to the collision is:
Answer» A block of mass 20 kg moving at 2.0 m/s collides head on with another block of equal mass at rest. The maximum possible loss in kinetic energy due to the collision is:

Discussion

2887.	If force, time and velocity are treated as fundamental quantities, then dimensional formula of energy will be
Answer» If force, time and velocity are treated as fundamental quantities, then dimensional formula of energy will be

Discussion

2888.	_________ of a two particle system depends only on the seperation between the two particles.
Answer» _________ of a two particle system depends only on the seperation between the two particles.

Discussion

2889.	If in a wire of Young's modulus Y, longitudinal strain X is produced, then the potential energy stored in its unit volume will be :
Answer» If in a wire of Young's modulus $Y$ , longitudinal strain $X$ is produced, then the potential energy stored in its unit volume will be :

Discussion

2890.	Assuming the string to be inextensible and surface and pulley to be frictionless, velocity of block B (VB) in the given figure is
Answer» Assuming the string to be inextensible and surface and pulley to be frictionless, velocity of block $B$ $(V_{B})$ in the given figure is

Discussion

2891.	A convex lens is cut in half along its principal axis and the two halves are separated by a distance of 12 cm. An object is placed 6 cm in front of the lens as shown in Figure. Two sharp images are formed on the screen placed 80 cm from the object. What is the focal length of the lens ?
Answer» A convex lens is cut in half along its principal axis and the two halves are separated by a distance of $12 cm$ . An object is placed $6 cm$ in front of the lens as shown in Figure. Two sharp images are formed on the screen placed $80 cm$ from the object. What is the focal length of the lens ?

Discussion

2892.	105 calories of heat is required to raise the temperature of 3 moles of an ideal gas at constant pressure from 30∘C to 35∘C. The amount of heat required in calories to raise the temperature of the gas from 60∘C to 65∘C at constant volume is [γ=CPCV=1.4]
Answer» $105$ calories of heat is required to raise the temperature of $3$ moles of an ideal gas at constant pressure from $30^{\circ} C$ to $35^{\circ} C$ . The amount of heat required in calories to raise the temperature of the gas from $60^{\circ} C$ to $65^{\circ} C$ at constant volume is $[γ = \frac{C_{P}}{C_{V}} = 1.4]$

Discussion

2893.	A T shaped object, having uniform linear mass density, with dimension shown in the figure is lying on a smooth floor. A force F is applied at the point P parallel to AB, such that the object has only translational motion without rotation. The distance of P with respect to C is
Answer» A T shaped object, having uniform linear mass density, with dimension shown in the figure is lying on a smooth floor. A force $F$ is applied at the point P parallel to AB, such that the object has only translational motion without rotation. The distance of P with respect to C is

Discussion

2894.	A steel cable with a radius of 2 cm supports a chairlift. If the maximum stress is not to exceed 8×107N/m2, what is the maximum load the cable can support?
Answer» A steel cable with a radius of 2 cm supports a chairlift. If the maximum stress is not to exceed $8 \times 10^{7} N / m^{2}$ , what is the maximum load the cable can support?

Discussion

2895.	Given →A+→B=→Cand the magnitudes of vectors →A, →B and →C are respectively 12, 5 and 13 units. The angle between →A and →B is
Answer» Given $\to A + \to B = \to C$ and the magnitudes of vectors $\to A$ , $\to B$ and $\to C$ are respectively 12, 5 and 13 units. The angle between $\to A$ and $\to B$ is

Discussion

2896.	A mon of mass 'm' moves on a plank of mass 'M' with a constant velocity 'u' with respect to the plank (as shown in the figure). If the plank rests on a smooth horizontal surface, then determine the final velocity of the plank.
Answer» A mon of mass 'm' moves on a plank of mass 'M' with a constant velocity 'u' with respect to the plank (as shown in the figure). If the plank rests on a smooth horizontal surface, then determine the final velocity of the plank.

Discussion

2897.	A block of mass m is placed on another block of mass M, which itself is lying on a horizontal surface. The coefficient of friction between the two blocks is μ1 and that between the block of mass M and the horizontal surface is μ2. What maximum horizontal force can be applied to the lower block so that the two blocks move without separation?
Answer» A block of mass $m$ is placed on another block of mass $M$ , which itself is lying on a horizontal surface. The coefficient of friction between the two blocks is $μ_{1}$ and that between the block of mass $M$ and the horizontal surface is $μ_{2}$ . What maximum horizontal force can be applied to the lower block so that the two blocks move without separation?

Discussion

2898.	The P−V diagram of 2 gm of helium gas for a certain process is shown in the figure. Find the amount of heat given to the gas during the process ?
Answer» The $P - V$ diagram of $2 gm$ of helium gas for a certain process is shown in the figure. Find the amount of heat given to the gas during the process ?

Discussion

2899.	In the figure pulley p1 is fixed and p2is movable. If W1=W2=100 N, what is the angle (in degrees) AP2P1 when the system is in equilibrium?The pulleys are massless and frictionless
Answer» In the figure pulley $p_{1}$ is fixed and $p_{2}$ is movable. If $W_{1} = W_{2} = 100 N,$ what is the angle (in degrees) $A P_{2} P_{1}$ when the system is in equilibrium? The pulleys are massless and frictionless

Discussion

2900.	The load versus elongation graph of four wires of equal length of the same material is shown in the figure. The line representing the thinnest wire is
Answer» The load versus elongation graph of four wires of equal length of the same material is shown in the figure. The line representing the thinnest wire is

Discussion

Explore topic-wise InterviewSolutions in .

If x=(3y2+4y+3), then ∫xdy will be

What is the angle between two vectors →A=3^j−4^k and →B=−2^i+^j+2^k.

Three liquids of densities d,2d and 3d are mixed in equal volumes. Then the density of the mixture is

The cylindrical tube of a spray pump has a cross-section 5 cm2, one end of which has 50 fine holes, each of area 10−8 m2. If the liquid flows inside the tube with a speed of 0.3 m/min, then find the speed with which the liquid is ejected through the holes.

The displacement x of a particle along a straight line at time t is given by x=a0+a1t+a2t3. The acceleration a of the particle at time t=5 is

If W1,W2 and W3 represent the work done in moving a particle from A to B along three different paths 1, 2 and 3 respectively (as shown) in the gravitational field of a point mass m, find the correct relation between W1,W2 and W3 [IIT JEE 2003]

The acceleration of block B in the figure will be

A spherical shell is cut into two pieces along a chord and separated by a large distance as shown in figure. For points A and B, where V and →E are gravitational potential and field respectively, then

The length of the wire shown in figure between the pulley is 1.5 m and its mass is 12.0 g. find the frequency of vibration with which the wire vibrates in two loops leaving the middle point of the wire between the pulleys at rest.

A small ball of mass m starts from rest from point A(b,c) on a smooth slope which is a parabola. The normal force that the ground exerts at the instant, the ball arrives at lowest point (0,0) is

If velocity V, acceleration A and force F are taken as fundamental quantities, then the dimensional formula of angular momentum in terms of V, A and F will be

For a projectile projected from ground at an angle θ with horizontal, gT2=2R√3, where T is time of fight, R is horizontal range of projectile, g is acceleration due to gravity. The angle of projection (θ) is

A sphere of radius R is in contact with a wedge. The point of contact is R5 from the ground as shown in the figure. Wedge is moving with velocity 20 ms−1 towards left. The velocity of the sphere at this instant will be

Source and observer start moving simultaneously along x and y-axis, respectively. The speed of source is twice the speed of observer, V0. If the ratio of observed frequency to the frequency of the source is 0.75, find the velocity of sound.

A 4 kg ball moving to the right at 6 m/s collides with a 5 kg ball ahead of it and moving to the right at speed 2 m/s . Find the magnitude of final velocity of the 4 kg and 5 kg balls respectively, if coefficient of restitution is 0.5.

What is the angle between two forces of equal magnitude such that their resultant is one-fourth as much as either of the original forces?

A ball moving with a momentum of 5 kg m/s strikes against a wall at an angle of 45° and is reflected at the same angle. Calculate the change in momentum (in magnitude).

Four particles of masses m, m, 2m and 2m are placed at the four corners of a square of side a as shown in the figure. The (x, y) coordinates of the centre of mass are

A motor cycle engine delivers a power of 10 kW by consuming petrol at the rate of 2.4 kg/hr. Find the rate of heat rejection by the exhaust, if the calorific value of petrol is 35.5 MJ/kg.(Neglect the other losses)

Find the average velocity of the position function s(t)=2t2−4t on the interval from t=0 sec to t=5 sec.

When 100 volts dc is supplied across a solenoid, a current of 1.0 amperes flows in it. When 100 volts ac is applied across the same coil, the current drops to 0.5 ampere. If the frequency of ac source is 50 Hz, then the impedance and inductance of the solenoid are

A stone thrown from a point on the ground at 30∘ to the horizontal to hit another point on the ground 145 m away, fell short by 5 m. A second trial at a different angle (but the same speed) again fell short by the same distance. What was the difference in their flight times ?

Which of the following graphs are related to a mass m attached to spring performing SHM? Symbols have their usual meaning.

A plane flying horizontally at 100 m/s releases an object which reaches the ground in 10 s. What will be the angle from horizontal, at which it hits the ground? Take g=10 m/s2.

A car accelerates uniformly from 13 ms–1 to 31 ms–1 while entering the motorway, covering a distance of 220 m. Then the acceleration of the car will be:

The volume of a metal sphere increased by 0.24 % when its temperature is raised by 40∘C. The coefficient of linear expansion of metal is

The work function of a photoelectric material is 3.3 eV. The threshold frequency will be equal to

A point charge +q is placed on the axis of a closed cylinder of radius R and height 25R12 as shown. If electric flux coming out form the curved surface of cylinder is xq10∈0, then calculate x.

There are two bodies of masses 100 kg and 10000 kg separated by a distance 1 m. At what distance from the smaller body, the intensity of gravitational field will be zero

The F−X curve is shown below. Find the change in potential energy when particle displaces from X=0 m to X=6 m (Assume SI units)

Find out acceleration of the block. Initially the block is at rest. μs = 0.5μk = 0.3

A force F is applied horizontally on mass m1 as shown in figure. Find the contact force between m1 and m2.

What is the resistance of a carbon resistance which has bands of colours brown, black and brown

A block of mass 20 kg moving at 2.0 m/s collides head on with another block of equal mass at rest. The maximum possible loss in kinetic energy due to the collision is:

If force, time and velocity are treated as fundamental quantities, then dimensional formula of energy will be

_________ of a two particle system depends only on the seperation between the two particles.

If in a wire of Young's modulus Y, longitudinal strain X is produced, then the potential energy stored in its unit volume will be :

Assuming the string to be inextensible and surface and pulley to be frictionless, velocity of block B (VB) in the given figure is

A convex lens is cut in half along its principal axis and the two halves are separated by a distance of 12 cm. An object is placed 6 cm in front of the lens as shown in Figure. Two sharp images are formed on the screen placed 80 cm from the object. What is the focal length of the lens ?

105 calories of heat is required to raise the temperature of 3 moles of an ideal gas at constant pressure from 30∘C to 35∘C. The amount of heat required in calories to raise the temperature of the gas from 60∘C to 65∘C at constant volume is [γ=CPCV=1.4]

A T shaped object, having uniform linear mass density, with dimension shown in the figure is lying on a smooth floor. A force F is applied at the point P parallel to AB, such that the object has only translational motion without rotation. The distance of P with respect to C is

A steel cable with a radius of 2 cm supports a chairlift. If the maximum stress is not to exceed 8×107N/m2, what is the maximum load the cable can support?

Given →A+→B=→Cand the magnitudes of vectors →A, →B and →C are respectively 12, 5 and 13 units. The angle between →A and →B is

A mon of mass 'm' moves on a plank of mass 'M' with a constant velocity 'u' with respect to the plank (as shown in the figure). If the plank rests on a smooth horizontal surface, then determine the final velocity of the plank.

The P−V diagram of 2 gm of helium gas for a certain process is shown in the figure. Find the amount of heat given to the gas during the process ?

In the figure pulley p1 is fixed and p2is movable. If W1=W2=100 N, what is the angle (in degrees) AP2P1 when the system is in equilibrium?The pulleys are massless and frictionless

The load versus elongation graph of four wires of equal length of the same material is shown in the figure. The line representing the thinnest wire is