Question

A wire 60 cm long is bent in the form of a circle with a gap of 1cm between the free ends at 10°C , when it is heated to 110°C,the length if the gap increased to 1.002cm find the alpha =?

Answer 1

Arc length at 110 degree C= Arc length at 10 degreeC [1+α△t]
or, 1.002=1[1+α(110-10)]
or, α=(1.002-1)/100
=0.002/100 /degree C
=2 x 10^-5 / degree C