Two rods, one of aluminum and the other made of steel, having initial length and are…

PHYSICS · Single correct · CBSE · Physics · Thermal Properties of Matter · Thermal Properties of Matter

Problem

Two rods, one of aluminum and the other made of steel, having initial length

l_1

and

l_2

are connected together to form a single rod of length

l_1 + l_2

. The coefficients of linear expansion for aluminum and steel are

\alpha_a

and

\alpha_s

respectively. If the length of each rod increases by the same amount when their temperature are raised by

t^\circ \text{C}

, then find the ratio

l_1/(l_1 + l_2)

. (1)

\alpha_s/\alpha_a

(2)

\alpha_a/\alpha_s

(3)

\alpha_s/(\alpha_a + \alpha_s)

(4)

\alpha_a/(\alpha_a + \alpha_s)