A transverse wave is travelling on a string with velocity ' $\mathrm{V}^{\prime} .$ The extension in the string is ' $\mathrm{x}^{\prime}$. If the string is extended by $50 \%$, then the speed of wave along the string will be nearly (Hooke's law is obeyed)A. $1.22 \mathrm{~V}$B. $\frac{V}{1.5}$C. $\frac{V}{1.22}$ D. $1.5 \mathrm{~V}$

Home » A transverse wave is travelling on a string with velocity ‘ The extension in the string is ‘ . If the string is extended by , then the speed of wave along the string will be nearly (Hooke’s law is obeyed)A. B. C. D.

A transverse wave is travelling on a string with velocity ‘ $\mathrm{V}^{\prime} .$ The extension in the string is ‘ $\mathrm{x}^{\prime}$ . If the string is extended by $50 \%$ , then the speed of wave along the string will be nearly (Hooke’s law is obeyed)
A. $1.22 \mathrm{~V}$
B. $\frac{V}{1.5}$
C. $\frac{V}{1.22}$ D. $1.5 \mathrm{~V}$

Physics

A transverse wave is travelling on a string with velocity ‘ $\mathrm{V}^{\prime} .$ The extension in the string is ‘ $\mathrm{x}^{\prime}$ . If the string is extended by $50 \%$ , then the speed of wave along the string will be nearly (Hooke’s law is obeyed)
A. $1.22 \mathrm{~V}$
B. $\frac{V}{1.5}$
C. $\frac{V}{1.22}$ D. $1.5 \mathrm{~V}$

Correct option is A.

$\begin{array}{l} v=\sqrt{\frac{T}{m}} \\ \therefore \frac{\mathrm{V}_{2}}{\mathrm{~V}_{1}}=\sqrt{\frac{\mathrm{T}_{2}}{\mathrm{~T}_{1}}} \\ =\sqrt{1.5} \approx 1.22 \end{array}$

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