First slide

Thermal expansion

Question

A wire of length 60 cm is bent into a circle with a gap of 1 cm at its ends. On heating it by 100°C, the length of the gap increases to 1.02 cm.α of material of wire is

Easy

A

2 × 1 $0^{- 4}$ /°C
B

4 × 1 $0^{- 4}$ /°C
C

6 × 1 $0^{- 4}$ /°C
D

1 × 10 $0^{- 4}$ /°C

Solution

$\large l_1=1cm,l_2=1.02cm;\Delta t=100^0C$
We have $\large \alpha=\frac {l_2-l_1}{l_1(\Delta t)}=\frac {1.02-1}{1(100)}=2\times 10^{-4}/^0C$

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