Question:

Two identical balls \( P \) and \( Q \) are moving with the same velocity. If the velocity of \( Q \) is reduced to zero and that of \( P \) is reduced to half, the ratio of change in temperatures of \( P \) to \( Q \) is:

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The rate of temperature change due to velocity is proportional to the square of the velocity.
Updated On: May 14, 2025
  • 4:3
  • 1:4
  • 3:4
  • 1:2
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The Correct Option is C

Solution and Explanation

The change in temperature is proportional to the square of the velocity. Therefore, the ratio of temperature changes is: \[ \frac{\Delta T_P}{\Delta T_Q} = \frac{ \left( \frac{v_P}{2} \right)^2 }{v_Q^2} = \frac{1}{4} \] Thus, the ratio of temperature change is 3:4.
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