First slide

Coherent sources and their importance in interference

Question

Among the two interfering monochromatic sources A and B; A is ahead of B in phase by 66°. If the observation be taken from point P, such that PB – PA = l/4. Then the phase difference between the waves from A and B reaching P is

Moderate

A

156°
B

140°
C

136°
D

126°

Solution

Total phase difference
= Initial phase difference + Phase difference due to path

$= 66 ° + \frac{360 °}{λ} \times Δ x = 66 ° + \frac{360 °}{λ} \times \frac{λ}{4} = 66 ° + 90 = 156 °$

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