First slide

Standing waves

Question

Two sinusoidal waves with same wavelengths and amplitudes travel in opposite directions along a string with a speed l0 m/s. If the minimum time interval between two instants when the string is flat is 0.5 s, the wavelength of the waves is

Moderate

A

25 m
B

20 m
C

15m
D

lOm

Solution

Minimum time interval between two instants when the string is flat = $\frac{T}{2} = 0.5 \sec \Rightarrow T = 1 \sec$
Hence $λ = v \times T = 10 \times 1 = 10 m$

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