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  • In a medium in which a transverse progessive wave is travelling , the phase difference between two points with a seperation of 1.25 cm is <img alt="\mathrm{\frac{\pi }{3}}" src="https://entran

In a medium in which a transverse progessive wave is travelling , the phase difference between two points with a seperation of 1.25 cm is \mathrm{\frac{\pi }{3}}. If the frequency of wave is 100 Hz, its velocity will be .

 

Option: 1

75 m/s


Option: 2

125 m/s


Option: 3

100 m/s


Option: 4

50 m/s


Answers (1)

best_answer

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, \mathrm{ \begin{aligned} & \Delta 4=\frac{2 \pi}{\lambda} \cdot \Delta x \\ & \lambda=\frac{2 \pi}{\Delta \phi} \cdot \Delta x=\frac{2 \pi}{(\pi / 3)} \times 1.25 \times 10^{-2} \\ & \lambda=7.5 \times 10^{-2} \mathrm{~m} \end{aligned} }

\mathrm{ \begin{aligned} v & =f \lambda \\ & =1000 \times 7.5 \times 10^{-2}=75 \mathrm{~m} / \mathrm{s} . \end{aligned} }

 

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