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Q.

A bullet of mass 5g, travelling with speed 400 m/s, strikes a fixed wooden target. If half of its kinetic energy is converted into heat in the bullet while the other half is wasted, then the rise in temperature of the bullet if the specific heat of the bullet is 0.030 cal/g and J=4.2 is____ ${}^{0}C$ .
(Round off to nearest integer)

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answer is 317.

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Detailed Solution

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$\frac{1}{2} \times \frac{1}{2} m v^{2} = m c Δ θ$

$\begin{array}{l} \frac{1}{4} {(400)}^{2} = 0.030 \times 4200 \times Δ θ \\ Δ θ = 317^{0} C \end{array}$

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A bullet of mass 5g, travelling with speed 400 m/s, strikes a fixed wooden target. If half of its kinetic energy is converted into heat in the bullet while the other half is wasted, then the rise in temperature of the bullet if the specific heat of the bullet is 0.030 cal/g and J=4.2 is____C 0.(Round off to nearest integer)