Question

The radius of a ring is R and its coefficient of linear expansion is α. If the temperature of ring

increases by ∆θ then its circumference will increase by

(A) πRα∆θ (B) 2πRα∆θ (C) πRα

2

∆θ

(D) πRα


4

∆θ​

Answer 1

Answer:

2πrαθ

Explanation:

We know,

L=2πr

L

ΔL

=αΔT

ΔL=LαΔT

=2πrαΔT=2πrαθ (∵ΔT=θ)