an iron of diameter 4 cm at 25 degree and a cylinder of diameter 4.002 cm is made of the same material at the same temperature. to what temperature the ring should be heated so that the cylinder passes through the ring easily.?

a) 41.6 degree Celsius
b) 66.6 degree Celsius
c) 32.6 degree Celsius
d)76.6 degree Celsius

please show working and thank you

1 answer

(b)

Linear coefficient of thermal expansion
α=ΔL/L•Δt
Δt = 0.002/4•12•10^-6=41.66º
t=25+41.66=66.6ºC