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NTA Abhyas 2020

Exam: NTA Abhyas
Year: 2020
Subject: Physics
Chapter: Thermal Properties of Matter

NTA Abhyas 2020 · Physics · Thermal Properties of Matter

Two rods A and B of identical dimensions are at a temperature of 30...

Two rods

A

and

B

of identical dimensions are at a temperature of

30 ° C

. If

A

is heated upto

180 ° C

and

B

up to

T

(measured in

° C

) then the new lengths are the same. If the ratio of the coefficients of linear expansion of

A

and

B

is

4: 3

, then the value of

T

is

Options

A $230 ° C$
B $200 ° C$
C $270 ° C$
D $250 ° C$

Correct answer

A. $230 ° C$

Step-by-step solution

∆ {L}_{1} = ∆ {L}_{2}

L{\alpha}_{1} \times 150 = L{\alpha}_{2} \times ∆ {T}_{2}

⇒ ∆ {T}_{2} = \dfrac{\alpha1}{\alpha2} \times 150 = \dfrac{4}{3} \times 150 = 200 ° C

T = 200 ° C + 30 ° C = 230 ° C

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