Two sinusoidal wave with same wavelengths and amplitudes travel in opposite directions along a

Two sinusoidal wave with same wavelengths and amplitudes travel in opposite directions along a string with a speed 10 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,

1. 25 m

2. 10 m

3. 20 m

4. 15 m

Solution

T/2 seconds

From figure, if the string wants to get flat so for that it will take T/2 seconds.

brainsnippers

At that time when it gets flat Amplitude will be zero.

amplitude zero

i.e. the minimum time interval between two instant when string is flat is T/2 = 0.5 (Given)

therefore, T=1 sec

Now, we know that,

Therefore, option (2) 10 m is correct.

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