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Question

A hole is drilled in a copper sheet. The diameter of the hole is 4.24 cm at 27 C. What is the change in the diameter of the hole when the sheet is heated to 227 C ?
[ α=1.70×105/ C ].

A
1.44×102 cm
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B
1.96×102 cm
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C
1.78×102 cm
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D
1.28×102 cm
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Solution

The correct option is A 1.44×102 cm
Given:
Diameter of the hole, d=4.24 cm
Initial temperature, T1=27 C
Final temperature, T2=227 C
Co-efficient of linear expansion of copper, α=1.70×105/ C.
To find: Change in diameter, Δd=?
We know that change in linear dimension on heating is given by
Δd=αdΔT
Δd=1.70×105×4.24×(22727)
Δd=1.44×102 cm

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