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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%.

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