If the two waves of the same frequency and same amplitude, on superposition produce a resultant disturbance of the same amplitude, then the phase diff

Question

If the two waves of the same frequency and same amplitude, on superposition produce a resultant disturbance of the same amplitude, then the phase diff

If the two waves of the same frequency and same amplitude, on superposition produce a resultant disturbance of the same amplitude, then the phase difference between the two arriving wave will be
A. `pi//2`
B. `2pi//3`
C. `pi`
D. `2pi`

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 - B
`R = sqrt(A_(1)^(2) + A_(2)^(2) + 2A_(1)A_(2) cos (alpha_(1) - alpha_(2)))`
`A = sqrt(2A^(2) + 2A^(2) cos alpha_(1) - alpha_(2))`
`A^(2) - 2A^(2) 2A^(2) cos alpha_(1) - alpha_(2)`
`- (1)/(2) = cos alpha_(1) - alpha_(2)`
`:. alpha_(1) - alpha_(2) = (2pi)/(3)`

4 views Answered 2023-02-05 15:29