If two waves represented by `y_(1)=4sinomegat` and `y_(2)=3sin(omegat+(pi)/(3))` interfere at a point find out the amplitude of the resulting wave

Options

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

Answer

B

Explanation

In this case `A_(1)=4,A_(2)=3 and delta=(pi)/(3)`
`therefore R=sqrt(A_(1)^(2)+A_(2)^(2)+2A_(1)A_(2)cosdelta)`
`=sqrt(4^(2)+3^(2)+2xx4xx3xx(1)/(2))`
`therefore R=sqrt(17)=6`