If two waves represented by `y_(1)=4 sin omega t` and `y_(2)=3sin (omega t+(pi)/(3))`interfere at a point, the amplitude of the resulting wave will be about

Options

A. 7
B. 6
C. 5
D. `3.5`

Answer

C

Explanation

`a_(1)=4,a_(2)=3,alpha_(1)-alpha_(2)=(pi)/(2)=90^(@),R=?`
`R=sqrt(a_(1)^(2)+a_(2)^(2)+2a_(1)a_(2)cos(alpha_(1)-alpha_(2)))`
`=sqrt(16+9+2xx4xx3xxcos90)`
`=sqrt25`
=5