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Two identical sinusoidal waves each of a...

Two identical sinusoidal waves each of amplitude 10 mm with a phase difference of `90^(@)` are travelling in the same direction in a string. The amplitude of the resultant wave is

A

5 mm

B

`10sqrt2` mm

C

15 mm

D

20 mm

Text Solution

Verified by Experts

The correct Answer is:
B
Since the two waves are identical, they have amplitudes with phase difference of `90^(@)`.
The amplitude of the resultant wave is,
`A=sqrt(a^(2)+b^(2))=sqrt(a^(2)+a^(2)=asqrt2`
Here, a= 10 mm, A=`10sqrt2`mm
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