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QJEEM23Ph8f99: JEE Main 2023 Physics - Class 11 JEEM23Ph8f99 Solution: A hole is drilled in a metal sheet. At 27 ∘ C , the diameter of …

A hole is drilled in a metal sheet. At 27∘C, the diameter of hole is 5 cm. When the sheet is heated to 177∘C, 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.

Step-by-Step Verified Solution

ΔD=DαΔt\Delta D=D \alpha \Delta t

=5×1.6×10−5(177−27)=0.012 cm=12×10−3 cm so, d=12

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