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Q.

A transverse wave of amplitude 0.5 m, wavelength 1 m and frequency 2 Hz is propagating in a string in the negative x direction. The equation of this wave is

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a

y = 0.5 sin(2πx–4πt)

b

y = 0.5 sin(2πx + 4πt)

c

y = 0.5 sin(πx–2πt)

d

y = 0.5 sin(2πx + 2πt)

answer is B.

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Detailed Solution

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y = A sin(ωt + kx) 
A = 0.5, ω= 2πn= 2π(2)=4π
k=2πλ=2π1

y=0.5 sin(4πt+2πx)
Wave travelling negative x direction

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