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  • A transverse wave travels on taut steel with a velocity of v when tension in it is <img alt="4.26 \times 10^{6} \mathrm{~W}" src="https://entrancecorner.oncodecogs.com/gif.latex?4.26%20%5Ctime

A transverse wave travels on taut steel with a velocity of v when tension in it is 4.26 \times 10^{6} \mathrm{~W}. When the tension is changed to T. the velocity changes to V / 4. The value of T is closed to

Option: 1

26.62 \times 10^{4}


Option: 2

26.62 \times 10^{5}


Option: 3

26.26 \times 10^{4}


Option: 4

26.26 \times 10^{5}


Answers (1)

best_answer

$$ \begin{aligned} & V=\sqrt{\frac{T}{M}} \quad V \alpha \sqrt{T} \\ & \frac{T_{2}}{T_{1}}=\left(\frac{V_{2}}{V_{1}}\right)^{2} T^{2} V^{2} \\ & T_{2}=T_{1}\left(\frac{V_{2}}{V 1}\right)^{2} \\ & T_{2}=4.26 \times 10^{6}\left(\frac{\frac{V}{4}}{V}\right)^{2} \\ & T_{2}=4.26 \times 10^{6} \times \frac{1}{16} \\ & T_{2}=\frac{426}{16} \times 10^{4} \\ & T_{2}=26.62 \times 10^{4} \end{aligned}

 

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Gautam harsolia

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