A metallic wire of length $L$ is fixed between two rigid supports. If the wire is cooled through a temperature difference $\Delta T (Y =$ young’s modulus, $\rho =$ density, $\alpha =$ coefficient of linear expansion) then the frequency of transverse vibration is proportional to :
A metallic wire of length $L$ is fixed between two rigid supports. If the wire is cooled through a temperature difference $\Delta T (Y =$ young’s modulus, $\rho =$ density, $\alpha =$ coefficient of linear expansion) then the frequency of transverse vibration is proportional to :
- A
$\frac{\alpha }{{\sqrt {\rho Y} }}$
- B
$\sqrt {\frac{{Y\alpha }}{\rho }} $
- C
$\frac{\rho }{{\sqrt {Y\alpha } }}$
- D
$\sqrt {\frac{{\rho \alpha }}{Y}} $
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