Question

A rod of length l coefficient of thermal expansion alpha is heated by a temperature difference

Answer 1

Hey dear,
From the given data, It seems you want to know how to calculate increased length.

● Answer- l' = l (1 + αΔT)

● Explanation-
# Given-
l = length of rod
∆T = temperature difference
α = coefficient of thermal expansion

# Solution-
Suppose, length of rod changes from l to L
l' during heating.
∆l = l' - l

Longitudinal strain is directly proportional to change in temperature,
Δl/l = αΔT
Δl = αΔTl
l' = l (1 + αΔT)

Hope this is helpful...