Quantrex Quantrex AcademyJEE · NEET · NDA PYQs with solutions Open app
AIIMS 2002
Exam
AIIMS
Year
2002
Subject
Physics
Chapter
Center of Mass, Momentum and Collision

AIIMS 2002 · Physics · Center of Mass, Momentum and Collision

The kinetic energy of a body becomes four times its initial value....

The kinetic energy of a body becomes four times its initial value. The new linear momentum will be

Options

  1. Asame as the initial value
  2. Bfour times of the initial value
  3. Ctwice of the initial value
  4. Deight times of the initial value.

Correct answer

C. twice of the initial value

Step-by-step solution

Initial kinetic energy (E1)=E\left(E_1\right)=E and final kinetic energy \left(E_2\right)=4 E.Kineticenergyofabodyis. Kinetic energy of a body is\frac{1}{2} m v^2SincethevalueofSince the value ofmremainsconstant,thereforeforthekineticenergytobe4times,thenewvalueofvelocity(v)shouldbe2timestheinitialvalue.Initiallinearmomentumremains constant, therefore for the kinetic energy to be 4 times, the new value of velocity (v) should be 2 times the initial value. Initial linear momentum\left(p_1\right)=m v.Thereforenewlinearmomentum. Therefore new linear momentum\left(p_2\right)=m \times 2 v =2 m v=2 p_1
Practice Center of Mass, Momentum and Collision on Quantrex Academy →

More from Center of Mass, Momentum and Collision

A frictionless circular wire of unit radius is fixed on the horizontal plane. Two point… NEET 2026Bob B of mass m at rest is hanging vertically from the ceiling via a massless string of… NEET 2026A ball of mass 0.5 kg is dropped from a height of 40 m . The ball hits the ground and… NEET 2025Two bodies A and B of same mass undergo completely inelastic one dimensional collision.… NEET 2024Two particles A and B initially at rest, move towards each other under mutual force of… NEET 2023A 1 ~kg object strikes a wall with velocity 1 ~ms^ -1 at an angle of 60^ ∘ with the wall… NEET 2023A bullet of mass m hits a block of mass M elastically. The transfer of energy is the… NEET 2023A shell of mass m is at rest initially. It explodes into three fragments having mass in… NEET 2022 Full Center of Mass, Momentum and Collision list All AIIMS PYQs