Question

A hole is drilled in a metal sheet At $27^{\circ} C$, the diameter of hole is $5 cm$ When the sheet is heated to $177^{\circ} C$, the change in the diameter of hole is $d \times 10^{-3} cm$ The value of $d$ will be ___ if coefficient of linear expansion of the metal is $16 \times 10^{-5} { }^{\circ} C$

Answer 1

The correct answer is 12.
d0​ at 27∘C&d1​ at 177∘C
d1​=d0​(1+αΔT)
d1​−d0​=5×1.6×10−5×150cm
=12×10−3cm