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Question

A sinusoidal wave travelling in the positive direction of x on a stretched string has amplitude 2.0 cm, wavelength 1 m and wave velocity 5.0 m/s. At x = 0 and t = 0, it is given that displacement y = 0 and yt<0. Express the wave function correctly in the from y = f(x, t) :-

A
y = (0.04 m) [sin (πm1)x - (10πs1)t]
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B
y = (0.02 m) cos 2π (x-5t)
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C
y = (0.02 m) [sin (2πm1)x - (10πs1)t]
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D
y = (0.02 m) cos π (x5t+14)
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Solution

The correct option is C y = (0.02 m) [sin (2πm1)x - (10πs1)t]
HENCE
y = (0.02 m) [sin (2πm1)πm−1)x - (10πs1)t]
1222963_1253658_ans_bcd1c4eae3064e9eb93bfcb1c361b4cd.png

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