Two coherent sources of different intensities send waves which interfere. The ratio of the maximum intensity to the minimum intensity is 25. The intensities are in the ratio:

Question

Two coherent sources of different intensities send waves which interfere. The ratio of the maximum intensity to the minimum intensity is 25. The intensities are in the ratio: (A) 25: 1 (B) 5: 1 (C) 9: 4 (D) 625: 1

Tardigrade Admin · Accepted Answer

(a1+a2/a1-a2)=5 ⇒ a1+a2=5(a1-a2) (a1/a2)=(3/2) (I1/I2)=((a1/a2))2=(9/4)

Q. Two coherent sources of different intensities send waves which interfere. The ratio of the maximum intensity to the minimum intensity is $25.$ The intensities are in the ratio:

25 : 1

5 : 1

9 : 4

625 : 1

$\frac{a _{1} + a _{2}}{a _{1} - a _{2}} = 5$
$\Rightarrow a_{1} + a_{2} = 5 (a_{1} - a_{2})$
$\frac{a _{1}}{a _{2}} = \frac{3}{2}$
$\frac{I _{1}}{I _{2}} = (\frac{a _{1}}{a _{2}})^{2} = \frac{9}{4}$

Q. Two coherent sources of different intensities send waves which interfere. The ratio of the maximum intensity to the minimum intensity is 25. The intensities are in the ratio: