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A simple wave motion represented by y=5(...

A simple wave motion represented by `y=5(sin 4pi t+sqrt3 cos 4pit)`. Its amplitude is

A

5

B

`5sqrt(3)`

C

`10 sqrt(3)`

D

`10`

Text Solution

Verified by Experts

The correct Answer is:
D
`y = 5(sin 4 pi t + sqrt(3) cos 4 pi t)`
`y = 5(sin 4pi t + 5sqrt(2) cos 4 pi t)`
`A = sqrt(A_1^2 + A_2^2)`
`A = sqrt((5)^2 + (5sqrt(3))^2)`
`= sqrt(25 + 75) = sqrt(100) = 10`
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