The amplitude of SHM `y=2(sin5pit+sqrt(2)cospit)` is

Options

A. a)2
B. b)`2sqrt(2)`
C. c)4
D. d)`2sqrt(3)`

Answer

D

Explanation

The equation of SHM is
`y=Asin(omegat+phi)`
or y=A `(sinomegatcosphi+cosomegatsinphi)` .... (i)
The given expression is
`y=2(sin5pit+sqrt(2)cospit)` … (ii)
`Acosphi=2andAsinphi=2sqrt(2)`
Squaring and adding , we get
`A=2sqrt(3)`