Question

Two iron rods of length 1m and 2m respectively when heated toa certain temperature the ratio of linear expansion of those two rods will be a1:2; (b) 1:4: (c) 1:8; (d) 2:1​

Answer 1

The ratio of linear expansion of those two rods will be 2 : 1

Explanation:

• As we know that the difference of length of two rods is same.
• Therefore, both rods will expand by same amount when their temperature is raised.

Thus We have

ΔL1 = ΔL2

L1α1ΔT = L2α2ΔT

Then

L1α1 = L2α2

So

α1 : α2 = L2 : L1

α1 : α2 = 2 : 1

Thus the ratio of linear expansion of those two rods will be 2 : 1

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