Question

# Two sine waves travelling in the same direction through the same region, have equal frequencies, wavelengths and amplitudes. If the amplitude of each wave is 4 mm and the phase difference between the waves is 90∘, what is the resultant amplitude?

A

8 mm

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B

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C

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D

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Solution

## The correct option is D Giventhe frequency and wavelength of the wave is same, the phase method of calculating resultant amplitude can be used. Here given is that phase difference ϕ is π2 Resultant amplitude A=√a21+a22+2a1a2cosϕ Alsoa1=a2=4mm A=4√2mm

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