Question

A metallic wire with tension T and at temperature ${30}^{\circ }C$ vibrates with its fundamental frequency 1 kHz. The same wire with the same tension but at ${10}^{\circ }C$ temperature vibrates with a fundamental frequency of 1.001 kHz The coefficient of linear expansion of the wire is

• A. $2\times {10}^{-4^{\circ }}{C}^{-1}$
• B. $1.5\times {10}^{-4^{\circ }}{C}^{-1}$
• C. $1\times {10}^{-4^{\circ }}{C}^{-1}$
• D. $0.5\times {10}^{-4^{\circ }}{C}^{-1}$

Answer 1

The correct option is C $1\times {10}^{-4^{\circ }}{C}^{-1}$