First slide

Travelling wave

Question

The phase difference between two points separated by 0.8 m in a wave of frequency is 120 Hz is $\frac{π}{2}$ . The velocity of wave is

Moderate

A

720 m/s
B

384 m/s
C

250 m/s
D

1 m/s

Solution

Phase difference $= \frac{2 π}{λ} \times$ path difference
$\Rightarrow \frac{π}{2} = \frac{2 π}{λ} \times 0 .8 \Rightarrow λ = 4 \times 0 .8 = 3 .2 m$
Velocity $v = nλ = 120 \times 3 .2 = 384 m / s .$

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