question_answer

When three progressive wave :  \[{{Y}_{1}}=4\sin (2x-6t),{{y}_{2}}=6\sin (2x-6t+\frac{\pi }{2})\] and \[{{Y}_{3}}=12\sin (2x-6t+\pi )\] are superimposed the amplitude of resultant wave is :

A)  22 unit                                   

B)  2 unit 

C)  10 unit         

D)  8 unit

Correct Answer: C

Solution :

We can use the concept of vector addition to find resultant amplitude