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A source havi...

Question

A source having a frequency of 50 Hz produces sinusoidal waves of amplitude 2 cm and wavelength 5 cm. Represent the equation of wave generated by this source, if this wave moves along +X axis

y = 2 s i n 40 π (5 t - 2 x)

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y = 2 s i n 20 π (5 t - 2 x)

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y = 2 s i n 10 π (5 t - 2 x)

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y = 2 s i n 10 π (5 t - 4 x)

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Solution

The correct option is B $y = 2 s i n 20 π (5 t - 2 x)$
The standard equation for a progressive wave is $y = A s i n (2 π t / T - k x)$ ,
Substituting the parameters given in the problem, we get,
$y = 2 s i n 20 π (5 t - 2 x)$
The correct option is (b)

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