What is phase difference between two waves, if the resultant amplitude due to their superposition is same as that of the waves?

Question

What is phase difference between two waves, if the resultant amplitude due to their superposition is same as that of the waves?

What is phase difference between two waves, if the resultant amplitude due to their superposition is same as that of the waves?
A. `pi//2`
B. `pi`
C. `2pi//3`
D. `pi//4`

Monjur Alahi

4 views

2025-01-04 04:42

1 Answers

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Salim Ahmed Kawsar · Accepted Answer · 2023-02-05T15:29:48+06:00

Salim Ahmed Kawsar

Correct Answer - C
`R=sqrt(A^2+A^2+2A^2cos(prop_1 - prop_2)`
`R^2 = 2A^2 +2A^2 cos (prop_1 - prop_2)`
`1=2+2cos(prop_1-prop_2)`
`1-2 = 2cos (prop_1-prop_2)`
`-1/2 = cos (prop - prop_2)`
`prop_1 - prop_2 = cos^(-1) (-1/2) = (2pi)/(3)`

4 views Answered 2023-02-05 15:29