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  • Q.103 - Standing waves are Produced in a  long stretched string. If the string vibrat

Q.103 - Standing waves are Produced in a 18 \mathrm{~m} long stretched string. If the string vibrates in 7 segments and the wave velocity is nom 40 m/ \mathrm{s}. The frequency

Option: 1

7.78 \mathrm{H \cdot z}


Option: 2

8.78 \mathrm{H \cdot z}


Option: 3

7.78 \mathrm{H \cdot z}


Option: 4

7.87 \mathrm{H \cdot z}


Answers (1)

best_answer

$$ \begin{aligned} & \frac{7 \lambda}{2}=18 \\ & 7 \lambda=36 \\ & \lambda=\frac{36}{7} \\ & v=40 \mathrm{~m} / \mathrm{s} \\ & f=\frac{v}{\lambda}=\frac{40}{36} \\ & f=\frac{40 \times 7}{76}=\frac{280}{36} \\ & f=7.78 \mathrm{H \cdot z} \end{aligned}

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