Question

Two wave represented by $Y_1$ = a sin cot and $Y_2$ = a sin $(cot+\varphi )$ with $\varphi =\frac{\pi }{2}$ are superimposed at any point at a particular instant. The resultant amplitude is :

• A. a
• B. 4a
• C. 1.414a
• D. zero

Answer 1

The correct option is C 1.414a

Resultant Amplitude = $\sqrt{A_1^2+A_2^2+2A_1{A}_2\cos \theta }$

For, $A_1=A_2=aand\theta =\frac{\pi }{2}$

Resultant Amplitude = $\sqrt{2}a=1.414a$

Therefore, C is correct option.