Question

Two similar waves ' x ' and ' y ' of amplitude 'a' are moving in the same direction and superimposed. If the wave ' y ' is lagging behind the wave ' x ' by one-fourth of the cycle, then the amplitude of the resultant wave is equal to:

• A. (A) a
• B. (B) a2
• C. (C) 2a
• D. (D) None of these

Answer 1

Answer: (C)

(C) 2a

Answer 2

Explanation:
Given,ax=ay=a, and ϕ=π2We know that when two similar waves are superimposed, the amplitude of the resultant wave is given as,⇒A=2a⋅cos⁡ϕ2⇒A=2a⋅cos⁡π4A=2aHence, the correct option is (C).