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  • A string is clamped at both ends and it is vibrating in its $6^{\text {th }}$ harmonic. The equation of the stationary ware is <img alt="y=0.7 \sin (0.379 x) \cos (400 \pi t)" src="https://entrance

A string is clamped at both ends and it is vibrating in its $6^{\text {th }}$ harmonic. The equation of the stationary ware is y=0.7 \sin (0.379 x) \cos (400 \pi t). The length of the string

Option: 1

49.68 \mathrm{~m}


Option: 2

49.56 \mathrm{~m}


Option: 3

49.68 \mathrm{~m}


Option: 4

48.68 \mathrm{~m}


Answers (1)

best_answer

K=0.379

\frac{2 \pi}{\lambda}=0.379

\frac{2 \times 3.14}{\lambda}=\frac{0.379}{1}

2 \times 3.14=0.379 \lambda

\begin{aligned} \lambda & =\frac{2 \times 3.14}{0.379} \\ \lambda & =\frac{6.28}{0.379} \\ \lambda & =16.56 \end{aligned}

Now,

$$ \begin{aligned} & \frac{6 \lambda}{2}=l \\ & l=3 \lambda \\ & l=3 \times 1 \\ & l=3 \times 16.56 \\ & l=49.68 \mathrm{~m} \end{aligned}

Posted by

Irshad Anwar

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