The interference pattern is obtained with twocoherent light sources of

1.	The interference pattern is obtained with twocoherent light sources of intensity ratio n. In theinterference pattern, the ratioImax -- /minwill be
Answer» ANSWER: Ratio of maximum and minimum intensity is GIVEN as $\frac{I_{max}}{I_{min}} = \frac{(\sqrt{n} + 1)^2}{(\sqrt{n} - 1)^2}$ Explanation: As we know that the ratio of two intensity of the given waves is $n = \frac{I_1}{I_2}$ now we know that maximum intensity due to SUPERPOSITION of coherent waves is given by $I_{max} = (\sqrt{I_1} + \sqrt{I_2})^2$ similarly minimum FREQUENCY due to superposition of two coherent waves is given as $I_{min} = (\sqrt{I_1} - \sqrt{I_2})^2$ now we have to find the ratio of maximum and minimum intensity so we have $\frac{I_{max}}{I_{min}} = \frac{(\sqrt{I_1} + \sqrt{I_2})^2}{(\sqrt{I_1} - \sqrt{I_2})^2}$ $\frac{I_{max}}{I_{min}} = \frac{(\sqrt{I_1/I_2} + 1)^2}{(\sqrt{I_1/I_2} - 1)^2}$ now we have $\frac{I_{max}}{I_{min}} = \frac{(\sqrt{n} + 1)^2}{(\sqrt{n} - 1)^2}$ #Learn Topic : Interference of coherent waves brainly.in/question/7967009

The interference pattern is obtained with twocoherent light sources of intensity ratio n. In theinterference pattern, the ratioImax -- /minwill be

Answer»

Ratio of maximum and minimum intensity is GIVEN as

$\frac{I_{max}}{I_{min}} = \frac{(\sqrt{n} + 1)^2}{(\sqrt{n} - 1)^2}$

Explanation:

As we know that the ratio of two intensity of the given waves is

$n = \frac{I_1}{I_2}$

now we know that maximum intensity due to SUPERPOSITION of coherent waves is given by

$I_{max} = (\sqrt{I_1} + \sqrt{I_2})^2$

similarly minimum FREQUENCY due to superposition of two coherent waves is given as

$I_{min} = (\sqrt{I_1} - \sqrt{I_2})^2$

now we have to find the ratio of maximum and minimum intensity

so we have

$\frac{I_{max}}{I_{min}} = \frac{(\sqrt{I_1} + \sqrt{I_2})^2}{(\sqrt{I_1} - \sqrt{I_2})^2}$

$\frac{I_{max}}{I_{min}} = \frac{(\sqrt{I_1/I_2} + 1)^2}{(\sqrt{I_1/I_2} - 1)^2}$

now we have

$\frac{I_{max}}{I_{min}} = \frac{(\sqrt{n} + 1)^2}{(\sqrt{n} - 1)^2}$

#Learn

Topic : Interference of coherent waves