Question

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

Answer 1

Correct Answer - 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`