Two coherent sources of light interfere. The intensity ratio of two sources is 1:4. For this

Question

Two coherent sources of light interfere. The intensity ratio of two sources is 1:4. For this interference pattern, the value of $\frac{I_{\max}}{I_{\min}}$ is _______

Smart Achievers · Accepted Answer

(9)

We have given, $\frac{I_{1}}{I_{2}} = \frac{1}{4} \Rightarrow I_{2} = 4 I_{1}$

$I_{m a x} = {(\sqrt{I_{1}} + \sqrt{I_{2}})}^{2} = 9 I_{1}$

$I_{m i n} = {(\sqrt{I_{1}} - \sqrt{I_{2}})}^{2} = I_{1}$

Solution

Q.
Two coherent sources of light interfere. The intensity ratio of two sources is 1:4. For this interference pattern, the value of $\frac{I_{\max}}{I_{\min}}$ is _______

Ans.
(9)

We have given, $\frac{I_{1}}{I_{2}} = \frac{1}{4} \Rightarrow I_{2} = 4 I_{1}$

$I_{m a x} = {(\sqrt{I_{1}} + \sqrt{I_{2}})}^{2} = 9 I_{1}$

$I_{m i n} = {(\sqrt{I_{1}} - \sqrt{I_{2}})}^{2} = I_{1}$

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Solution

Q. Two coherent sources of light interfere. The intensity ratio of two sources is 1:4. For this interference pattern, the value of ImaxImin is _______

Ans. (9) We have given, I1I2=14⇒I2=4I1 Imax=(I1+I2)2=9I1 Imin=(I1-I2)2=I1

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Q.
Two coherent sources of light interfere. The intensity ratio of two sources is 1:4. For this interference pattern, the value of $\frac{I_{\max}}{I_{\min}}$ is _______

Ans.
(9)

We have given, $\frac{I_{1}}{I_{2}} = \frac{1}{4} \Rightarrow I_{2} = 4 I_{1}$

$I_{m a x} = {(\sqrt{I_{1}} + \sqrt{I_{2}})}^{2} = 9 I_{1}$

$I_{m i n} = {(\sqrt{I_{1}} - \sqrt{I_{2}})}^{2} = I_{1}$