First slide

Specific heat

Question

Radii of two steel spheres A and B are in the ratio 1:3. If same quantity of heat is supplied to the spheres, ratio of the rise of temperature of A and B is

Moderate

A

1:243
B

1:9
C

81:1
D

27:1

Solution

$m_{A} . S . Δ t_{A} = m_{B} . S . Δ t_{B} = Q$
$\Rightarrow \frac{Δ t_{A}}{Δ t_{B}} = \frac{m_{B}}{m_{A}} = \frac{\frac{4}{3} π (r_{B}) 3}{\frac{4}{3} π {(r_{A})}^{3}} = {(3)}^{3} = 27$

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