Properties Of Solids And Liquids Question 56

Question: A lead ball moving with a velocity V strikes a wall and stops. If 50% of its energy is converted into heat, then what will be the increase in temperature (Specific heat of lead is S) [RPMT 1996]

Options:

A) $ \frac{2V^{2}}{JS} $

B) $ \frac{V^{2}}{4JS} $

C) $ \frac{V^{2}}{J} $

D) $ \frac{V^{2}S}{2J} $

Show Answer

Answer:

Correct Answer: B

Solution:

$ W=JQ $

therefore $ \frac{1}{2}( \frac{1}{2}mV^{2} )=J\times mS\Delta \theta $

therefore $ \Delta \theta =\frac{V^{2}}{4JS} $



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