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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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$y = 0.5 \cos (2 π x + 2 π t)$

$y = 0.5 \sin (π x - 2 π t)$

$y = 0.5 \sin (2 πx - 4 πt)$

$y = 0.5 \cos (2 π x + 4 π t)$

answer is B.

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Detailed Solution

$y = A \cos (ω t + k x)$

$ω = 2 π x, K = \frac{2 π}{λ}$

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