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Questions  

The equation y=Acos22πnt2πxλ represents a wave with 

a
Amplitude A/2, frequency 2n and wavelength λ/2
b
Amplitude A/2, frequency 2n and wavelength λ
c
Amplitude A, frequency 2n and wavelength 2λ
d
Amplitude A, frequency n and wavelength λ

detailed solution

Correct option is A

The given equation can be written as y=A2cos 4πnt−4πxλ+A2         ∵cos2θ=1+cos2θ2Hence amplitude = A2 and frequency =ω2π=4πn2π=2nand wave length =2πk=2π4π/λ=λ2.

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A transverse wave is represented by the equation

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For what value of λ, the maximum particle velocity equal to two times the wave velocity


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