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

A

Explanation

Phase difference between the tow waves `phi=(pi)/(3)`, amplitudes are `a_(1)=4, and a_(2)=3`
`:. A=sqrt(a_(1)^(2)+a_(2)^(2)+2a_(1)a_(2)cos phi)`
or, `A=6`