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Q.

$S_{1}$ and $S_{2}$ are two coherent sources separated by a distance 5 cm and emitting radiations of wavelengths 20 cm and having same intensity. P and Q are two points at same distance from the center “O” of line segment joining $S_{1}$ and $S_{2}$ as shown. The ratio of the intensities of the radiations reaching P and Q is

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a

1:1

b

2:1

c

1:2

d

1:4

answer is C.

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Detailed Solution

$a t Q b o t h s u p e r p o s e w i t h s a m e p h a s e I_{Q} = I_{m a x} a t P t h e y m e e t w i t h a p a t h d i f f e r e n c e o f \frac{λ}{4} i . e, a p h a s e d i f f e r e n c e o f \frac{π}{2} I_{P} = I_{m a x} (\cos^{2} \frac{φ}{2}) = I_{m a x} \cos^{2} (\frac{π}{4}) = \frac{I_{m a x}}{2}$

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S1 and S2 are two coherent sources separated by a distance 5 cm and emitting radiations of wavelengths 20 cm and having same intensity. P and Q are two points at same distance from the center “O” of line segment joining S1 andS2 as shown. The ratio of the intensities of the radiations reaching P and Q is