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Q.

A hole is drilled in a metal sheet. At $27^{0} C,$ the diameter of hole is 5 cm. When the sheet is heated to $177^{0} c,$ The change in the diameter of hole is. (coefficient of linear expansion of metal is $1.6 \times 10^{- 5} / c^{0}$

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a

$12 \times 10^{- 3} c m$

b

$6 \times 10^{- 3} c m$

c

$48 \times 10^{- 3} c m$

d

$24 \times 10^{- 3} c m$

answer is B.

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Detailed Solution

Change in diameter of the hole is given by

$Δ d = d α Δ t$

$= 5 \times 1.6 \times 10^{- 5} \times 150$

$= 12 \times 10^{- 3} c m$

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