Travelling wave

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Question

A particle on a stretched string supporting a travelling wave, takes 5.0 ms to move from its mean position to the extreme position. The distance between two consecutive particles, which are at their mean positions, is 3.0 cm. Find the wave speed (in m/s).

Moderate

Solution

Time period
$T = 4 \times 5 ms = 20 \times 10^{- 3} = 2 \times 10^{- 2} s$
Frequency, $f = \frac{1}{T} = \frac{1}{(2 \times 10^{- 2})} = 50 Hz$
$λ = 2 \times 3 cm = 6 cm$
Wave speed: $v = λf = 0 .06 \times 50 = 3 m / s$

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