Question

Derive"speed of transverse waves on a uniform string"

Answer 1

300,000 m/s is the speed

Answer 2

$\huge{\underline{\mathrm\red{\fcolorbox{white}{white}{Answer}}}}$

Speed of Transverse wave formed on a string is given by

$V = \sqrt{ \frac{T}{μ} }$

Where, T= tension formed on string

$μ = \frac{m}{l} = Mass \: \: Per \: \: Unit \: Length$

$V = \sqrt{ \frac{T}{ \frac{m}{l} } } \\ V = \sqrt{ \frac{Tl}{m} } \\ V = \sqrt{ \frac{Tl}{∫\pi {r}^{2}l } } \\ \\ {\huge{\boxed{\tt{\color{black}{V = \sqrt{ \frac{T}{∫\pi {r}^{2} } }}}}}}$

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