Gujarati
10-1.Thermometry, Thermal Expansion and Calorimetry
medium

A hammer of mass $1kg$ having speed of $50 \,m/s$, hit a iron nail of mass $200\, gm.$ If specific heat of iron is $0.105\, cal/gm°C$ and half the energy is converted into heat, the raise in temperature of nail is........ $^oC$

A

$7.1$

B

$9.2$

C

$10.5$

D

$12.1$

Solution

(a) $W = JQ$ $\Rightarrow$  $\frac{1}{2}\left( {\frac{1}{2}M{v^2}} \right) = J(m.c.\Delta \theta )$

$\Rightarrow$  $\frac{1}{4} \times 1 \times {(50)^2} = 4.2[200 \times 0.105 \times \Delta \theta ]$$\Rightarrow$ $\Delta \theta = 7.1^\circ C$

Standard 11
Physics

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