Properties Of Solids And Liquids Question 459

Question: A 5.9 g bullet (specific heat of material of bullet =$ 128 J/kg{}^\circ C $ ) moving with a velocity of 299 m/s enters a sand bag and stops. If the entire kinetic energy of the bullet is changed into heat energy that is added to the bullet, then the rise in the temperature of the bullet is

Options:

A) $ 312.5{}^\circ C $

B) $ 156{}^\circ C $

C) $ 500{}^\circ C $

D) $ 624{}^\circ C $

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Answer:

Correct Answer: B

Solution:

[b] $ \frac{1}{2}mv^{2}=mC\Delta T $

$ \therefore \Delta T=\frac{v^{2}}{2C}=\frac{200^{2}}{2\times 128}=156{}^\circ C $



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