Verified Solution • 2025–26 Session
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QAIPM-2002-Ph-2851: NEET 2002 Physics - Class 11 AIPM-2002-Ph-2851 Solution: If kinetic energy of a body is increased by 300% then…
If kinetic energy of a body is increased by 300% then percentage change in momentum will be:
Multiple Choice Options
- A 1
- B 1.5
- C 2.65
- D 0.732
Step-by-Step Verified Solution
Let m be the mass of the body and v 1 and v 2 be the initial and final velocities of the body respectively.
_ Initial kinetic energy = 1 2 m v 1 2
Final kinetic energy = 1 2 m v 2 2
Initial kinetic energy is increased 300% to get the
final kinetic energy.
_ 1 2 m v 2 2 = 1 2 ( 1 + 300 100 ) m v 1 2
_ v 2 = 2v 1 or v 2 /v 1 = 2 ... (i)
Initial momentum = p 1 = mv 1
Final momentum = p 2 = mv 2
_ p 2 p 1 = m v 2 m v 1 = v 2 v 1 = 2
_ p 2 = 2 p 1 = ( 1 + 100 100 ) p 1
So momentum has increased 100%.