Question

____100 points ________

two waves having same frequency and same amplitude are superimposed at a point. find the phase difference between two waves if resultant amplitude is
(1) 2a

(2) √2a

(3) a

(4) zero​

Answer 1

Answer:

⚡⚡⚡✨✨Hola ✨✨⚡⚡⚡

»» Resultant amplitude of two waves of amplitude A1 and A2 having phase angle theta is given by formula

R= √(A1^2 + A2^2 + 2× A1×A2×cos(theta)

Given A1 =A2 and resultant = 2×A

2×A = √(A^2 + A^2 + 2× A×A× cos(theta)

2A = √(2×A^2 + 2×A^2×cos(theta)

2A = √2A^2(1 + cos(theta)

Squaring both sides

4A^2 = 2A^2[1 + cos(theta)]

2 = 1 + cos (theta)

Cos(theta) = 1

Theta = 0

=> Means two waves should superimpose such that phase difference must be zero.

-------------------------Hakuna Matata ⚡⚡

Answer 2

Answer:

ANSWER FOR YOUR QUESTION WILL BE OPTION (D) . BECAUSE THE RESULTANT AMPLITUDE SHOULD BE ZERO FOR THE PHASE DIFFERENCE BETWEEN TWO WAVES WHOSE FREQUENCY IS SAME.....

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