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Oscillations

The equation ...

Question

The equation of a travelling wave is given by $3 s i n (π / 2) (25 t - x)$ where x and y are in meters and t is in seconds. What is the ratio of maximum amplitude to its wavelength

A

1/4

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B

3/2

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C

3/4

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D

1/2

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Solution

The correct option is C 3/4
$y = 3 s i n (π / 2) (50 t - x)$
The wavelength is $λ = (2 π / k) = 2 π / (π / 2) = 4$
The maximum amplitude is 3. Hence ratio = 3/4
The correct answer is (c)

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