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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

`5sqrt3`

C

`10sqrt3`

D

10

Text Solution

Verified by Experts

The correct Answer is:
D
`y=5(sin 4pit+sqrt3 cos 4pit)`
`y=5(sin 4pi t+5sqrt3 cos 4pi t)`
`A=sqrt(A_(1)^(2)+A_(2)^(2))`
`A=sqrt((5)^(2)+(5sqrt3)^(2))`
`=sqrt(25+75)=sqrt(100)=10`
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