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A lead bullet of unknown mass is fired with a speed of $180 \: ms^{-1}$ into a tree in which it stops. Assuming that in this process two third of heat produced goes into the bullet and one third into wood. The temperature of the bullet raises by : ( Specific heat of lead $= 0.120 \: Jg^{-1\circ}C^{-1}$)

$\begin {array} {1 1} (1)\;140^{\circ}C & \quad (2)\;106^{\circ}C \\ (3)\;90^{\circ}C & \quad (4)\;100^{\circ}C \end {array}$

Ans : (3)
$90^{\circ}C$