JEE Mains · Physics · STD 11 - 10.1, thermonetry,thermal expansion and calorimetry
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 \(1.6 \times 10^{-5} /{ }^{\circ} C\)
- A 12
- B 14
- C 16
- D 18
Answer & Solution
Correct Answer
(A) 12
Step-by-step Solution
Detailed explanation
\(d _0\) at \(27^{\circ} C \& d_1\) at \(177^{\circ} C\) \(d _1= d _0(1+\alpha \Delta T )\) \(d _1- d _0=5 \times 1.6 \times 10^{-5} \times 150 cm\) \(=12 \times 10^{-3} cm\)
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