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Thermal Properties of Mat question bank (Physics)

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Q1.

Coefficient of linear expansion of brass and steel rods are $\alpha_1$ and $\alpha_2$. Lengths of brass and steel rod are $l_1$ and $l_2$ respectively. Though the temperature of brass and steel is increased, $(l_2 - l_1)$ is maintained same at all temperatures, which of the following relations holds good?

(A)

$\alpha_1^2 l_2 = \alpha_2^2 l_1$

(B)

$\alpha_1 l_1 = \alpha_2 l_2$

(C)

$\alpha_1 l_2 = \alpha_2 l_1$

(D)

$\alpha_1^2 l_1^2 = \alpha_2^2 l_2^2$

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Q2.

Two spherical black bodies have radii $R_1$ and $R_2$. Their surface temperatures are $T_1$ K and $T_2$ K respectively. If they radiate the same power, the ratio $\dfrac{R_1}{R_2}$ is

(A)

$\left(\dfrac{T_1}{T_2}\right)^4$

(B)

$\left(\dfrac{T_1}{T_2}\right)^2$

(C)

$\left(\dfrac{T_2}{T_1}\right)^4$

(D)

$\left(\dfrac{T_2}{T_1}\right)^2$

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