Verified Solution • 2025–26 Session moderate

QNEET-2016-Ph-1070: NEET 2016 Physics - Class 11 NEET-2016-Ph-1070 Solution: Coefficient of linear expansion of brass and steel rods are \(…

Coefficient of linear expansion of brass and steel rods are

\alpha_1

and

\alpha_2

. Lengths of brass and steel rods are

l_1

and

l_2

respectively. If

(l_1-l_2)

is maintained same at all temperatures which one of the following relations holds good?

\alpha_1 l_1 = \alpha_2 l_2

\alpha_1 l_2 = \alpha_2 l_1

\alpha_1 l_1^2 = \alpha_2 l_2^2

\alpha_1^2 l_1 = \alpha_2^2 l_2

Multiple Choice Options

A $\alpha$ _ 1 $l$ l 2 = $\alpha$ _ 2 2 $l$ l 1
B $\alpha$ _ 1 $l$ l 1 = $\alpha$ _ 2 l 2
C $\alpha$ _ 1 $l$ l 2 = $\alpha$ _ 2 $l$ l 1
D $\alpha$ _ 1 $l$ l 2 2 = $\alpha$ _ 2 $l$ l 1 2

Step-by-Step Verified Solution

From question, ( l 2 _ l 1 ) is maintained same at all temperatures hence change in length for both rods should be same i.e., _ l 1 = _ l 2 As we know, coefficient of linear expansion, _ = _ l l 0 _ T l 1 _ 1 _ T = l 2 _ 2 _ T l 1 _ 1 = l 2 _ 2

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