question_answer

Four independent waves are expressed as :

(i) \[{{y}_{1}}={{a}_{1}}\sin (\omega t)\]

(ii) \[{{y}_{2}}={{a}_{2}}\sin (2\omega t)\]

(iii) \[{{y}_{3}}={{a}_{3}}\cos (\omega t)\]

(iv)\[{{y}_{4}}={{a}_{4}}\sin (\omega t+\frac{\pi }{3})\]

The interference is possible between:

A)  (i) and (iii)                          

B)  (i) and (iv)

C)  (iii) and (iv)                       

D)  not possible at all