Q. A lead bulled strikes at target with a velocity of 480 m$s^{- 1}$. If the bullet falls dead, the rise in temperature of bullet ($c$ = 0.03), assuming that heat produced is equally shared between the bullet and target is

A) 557$℃$
B) 457$℃$
C) 857$℃$
D) 754$℃$
Explanation

(b) $mc$ ($\mathrm{\Delta}T) = \frac{\frac{1}{2}\left( \frac{1}{2}m\ v^{2} \right)}{J}$
$\mathrm{\Delta}T = \frac{v^{2}}{4Jc} = \ \frac{480 \times 480}{4 \times 4.2 \times (0.03 \times 10^{3})} = 457℃$

Dr. Abubacker
Reviewed by Dr. Abubacker

Physics Educator & NEET/JEE Specialist

Ph.D. in Physics with 19+ years of teaching experience.