A particle is subjected to two S H Ms `x_(1) = A_(1) sin wt` and `x_(2) = A_(2) sin (w t + pi//4)`. The resultant S H M will have an amplitude of

Options

A. `(A_(1) + A_(2))/(2)`
B. `sqrt(A_(1)^(2) + A_(2)^(2))`
C. `sqrt(A_(1)^(2) + A_(2)^(2) + sqrt(2)A_(1)A_(2))`
D. `A_(1)A_(2)`

Answer

C