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Q.

A hole is drilled in a metal sheet. At 27oC the diameter of hole is 5 cm. When the sheet is heated to 177oC , the change in the diameter of hole is d × 10-3 cm. The value of d will be _________ if coefficient of linear expansion of the metal is 1.6 × 10-5 /°C

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answer is 12.

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Detailed Solution

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ΔD=DαΔt
d x 10-3 = (5)(1.6 x 10-5)(177 - 27)
= 8 x 10-5 x 150
d = 12 x 10-3

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