AIIMS Physics Work Energy And Power Class 11 Questions

A body of mass 5×10³ kg moving with speed 2 m/s collides with a body of mass 15×10³ kg in elastically and sticks to it. Then loss in K.E. of the system will be:

For the system given below, find the angular frequency of oscillation?

Initially spring in its natural length now a block at mass 0.25 kg is released then find out maximum force by system on floor?

Initially spring in its natural length now a block at mass 0.25 kg is released than find out maximum force by system on floor?

If one mole of an ideal gas goes through the process $\text{A} \rightarrow \text{B}$ and $\text{B} \rightarrow \text{C}$. Given that $\text{T}_\text{A} = 400\text{ K}$, and $\text{T}_\text{C} = 400\text{ K}$. If $\frac{\text{P}_\text{A}}{\text{P}_\text{B}} = \frac{1}{5}$, then find the heat supplied to the gas:

Assertion : Kinetic energy of a system can be increased or decreased without applying any external force on the system. Reason : This is because $\text{K.E.} = \frac{1}{2}mv^2$, so it is independent of any external force.

A body of 5 kg weight kept on a rough inclined plane of angle 30° starts sliding with a constant velocity. Then the coefficient of friction is (assume g = 10 ms⁻²)

Assertion: The equation of motion can be applied only if acceleration is along the direction of velocity and is constant. Reason: If the acceleration of the body is constant then its motion is known as uniform motion.

Assertion : Identical springs of steel and copper are equally stretched. More work will be done on the steel spring. Reason : Steel is more elastic than copper.

A 10 m long iron chain of linear mass density 0.8 kg/m³ is hanging freely from a rigid support. If g = 10 m/s², then the

A Rocket having initial mass 5×10⁶ kg (including mass of fuel). If mass of fuel is 4×10⁶ kg and is ejecting gas with velocity 4000 m/s relative to Rocket, then what will be the velocity of the Rocket when entire fuel finishes.

A solid sphere of mass 2 kg rolls on a smooth horizontal surface at 10 m/s. It then rolls up a smooth inclined plane of inclination 30° with the horizontal. The height attained by the sphere before it stops is

The length of a metal wire is l₁ when the tension in it is T₁ and is l₂ when the tension is T₂. The natural length of the wire is

When a body is projected vertically up from the ground with certain velocity, its potential energy and kinetic energy at a point Aare in the ratio 2:3. If the same body is projected with double the previous velocity, then at the same point A the ratio of its potential energy to kinetic energy is

When the load on a wire is increasing slowly from 2 kg to 4 kg, the elongation increases from 0.6 mm to 1 mm. The work done during this extension of the wire is (g = 10 m/s²)

A 40g mass is released from rest while situated at a height 5 cm on the curved track. The minimum deformation in the spring is nearly equal to (take g = 10 m/s²)

The force on a particle as the function of displacement x (in x-direction) is given by F = 10 + 0.5x. The work done corresponding to displacement of particle from x = 0 to x = 2 unit is

Assertion: A man rowing a boat upstream is at rest with respect to the bank. He is doing no external work. Reason: In uniform circular motion, velocity remains constant.

A force $\vec{F} = -k\left(y\hat{i} + x\hat{j}\right)$, where $k$ is a positive constant, acts on a particle moving in the $xy$-plane. Starting from the origin, the particle is taken along the positive $x$-axis to the point $(a,0)$ and then parallel to the $y$-axis to the point $(a,a)$. The total work done by the force on the particle is

A conductor lies along the x-axis at $-1.5 \le Z \le 1.5\text{ m}$ carries a fixed current of $10.0\text{ A}$ in $-a_z$ direction as shown in the figure for the field $B = 3 \times 10^{-4} e^{-0.2x} a_y\text{ T}$, the total power required to move the conductor at constant speed to $x = 2.0\text{ m}, y = 0\text{ m}$ in $5 \times 10^{-3}\text{ s}$ is (Assume parallel motion along the x-axis)

A gun of mass 10 kg fires 4 bullets per second. The mass of each bullet is 20 g and the velocity of the bullet when it leaves the gun is 300 m s⁻¹. The force required to hold the gun when firing is

If the linear momentum is increased by 50%, then kinetic energy will increase by

Assertion: KE is conserved at every instant of elastic collision. Reason: NO deformation of matter occurs in elastic collision.

Consider the situation shown in figure. A spring of spring constant 400 N/m is attached at one end to a wedge fixed rigidly with the horizontal part. A 40 g mass is released from rest while situated at a height 5 cm the curved track. The minimum deformation in the spring is nearly equal to (take g = 10 m/s²)

The force on a particle as the function of displacement x (in x-direction) is given by F = 10 + 0.5x. The work done corresponding to displacement of particle from x = 0 to x = 2 unit is

Assertion (A) In an elastic collision between two bodies, the relative speed of the bodies after collision is equal to the relative speed before the collision. Reason (R) In elastic collision, the linear momentum of the system is conserved.

Assertion: Total energy is negative for a bound system. Reason: Potential energy of a bound system is negative and more than kinetic energy.

Assertion: In elastic collision, kinetic energy is conserved. Reason: Energy is always conserved.

Assertion: KE is conserved at every instant of (elastic) collision. Reason: No deformation of matter occurs in elastic collision.

A block of mass m is pulled along a horizontal surface by applying a force at an angle θ with the horizontal. If the block travels with a uniform velocity and has a displacement d and the coefficient of friction is μ, then the work done by the applied force is

A block of mass 10 kg is moving in x-direction with a constant speed of 10 m/s. It is subjected to a retarding force F = 0.1x joule/meter during its travel from x = 20 m to x = 30 m. Its final K.E. will be

A block of mass 10 kg is moving in x-direction with a constant speed of 10 m/s. It is subjected to a retarding force F = 0.1x joule/metre during its travel from x = 20 m to x = 30 m. Its final K.E. will be

Assertion: If momentum of a body increases by 50%, its kinetic energy will increase by 125%. Reason: Kinetic energy is proportional to square of velocity.

A force \( F \) acting on an object varies with distance \( x \) as shown in the figure. The force is in N and \( x \) in m. The work done by the force in moving the object from \( x = 0 \) to \( x = 6 \) m is

A body of mass 5 kg moving with a speed of 1.5 m/s on a horizontal smooth surface collides with a nearly weightless spring of force constant k = 5 N/m. The maximum compression of the spring would be

A body is moved along a straight line by a machine delivering constant power. The distance travelled by the body in time t is proportional to

A ball is bouncing down a flight of stairs. The coefficient of restitution is e. The height of each step is d and the ball descends one step each bounce. After each bounce it rebounds to a height h above the next lower step. The height is large enough compared with the width of step so that the impacts are effectively head-on. Find the relationship between h and d.

For inelastic collision between two spherical rigid bodies

A block of mass 10 kg is moving in x-direction with a constant speed of 10 m/sec. It is subjected to a retarding force F = 0.1x joule/meter during its travel from x = 20 meter to x = 30 meter. Its final kinetic energy will be

Energy required to break one bond in DNA is approximately

A bomb of mass 3.0 kg explodes in air into two pieces of masses 2.0 kg and 1.0 kg. The smaller mass goes at a speed of 80 m/s. The total energy imparted to the two fragments is

A neutron makes a head-on elastic collision with a stationary deuteron. The fractional energy loss of the neutron in the collision is

Assertion : In an elastic collision of two billiard balls, the total kinetic energy is conserved during the short time of oscillation of the balls (i.e. when they are in contact). Reason : Energy spent against friction does not follow the law of conservation of energy.

Maximum energy transfer for an elastic collision will occur if one body is at rest with

Two particles are seen to collide and move jointly together after the collision. During such a collision, for the total system,

Assertion (A) : Work done in uniform circular motion is zero. Reason (R) : Force is always directed along displacement.

A body is allowed to slide down a frictionless track freely under gravity. The track ends in a semicircular shaped part of diameter D. What should be the height (minimum) from which the body must fall so that it completes the circle.

A body of mass 5 kg has momentum of 10 kg m/s. When a force of 0.2 N is applied on it for 10 seconds, what is the change in its kinetic energy?

Which of the following is true?

Two spheres of equal mass collide with the collision being absolutely elastic but not central. Then the angle between the velocities (θ) must be