The resultant amplitude, when two waves of two waves of same frequency but with amplitudes `a_(1)` and `a_(2)` superimpose at phase difference of `pi//2` will be :-

Options

A. `a_(1) + a_(2)`
B. `a_(1) - a_(2)`
C. `sqrt(a_(1)^(2) + a_(2)^(2))`
D. `a_(1)^(2) + a_(2)^(2)`

Answer

C

Explanation

`a=sqrt(a_(1)^(2)+a_(2)^(2)+2a_(1)a_(2)"cos"(pi)/(2))=sqrt(a_(1)^(2)+a_(2)^(2))`