First slide

Coherent sources and their importance in interference

Question

Figure here shows P and Q as two equally intense coherent sources emitting radiations of wavelength 20 m. The separation PQ is 5.0 m and phase of P is ahead of the phase of Q by 90°. A, B and C are three distant points of observation equidistant from the mid-point of PQ. The intensity of radiations at A, B, C will bear the ratio

Moderate

A

0 : 1 : 4
B

4 : 1 : 0
C

0 : 1 : 2
D

2 : 1 : 0

Solution

Since P is ahead of Q by 90° and path difference between P and Q is $\frac{λ}{4}$ . Therefore at A, phase difference is zero, so intensity is 4I. At C it is zero and at B, the phase difference is 90^o, so intensity is 2I.

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