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Question

Two coherent monochromatic light beams of intensities 4I and 9I are superimposed. The maximum and minimum possible intensities in the resulting beam are


A

3I and 2I

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B

9I and 5I

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C

16I and 3I

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D

25I and I

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Solution

The correct option is D

25I and I


Step 1: Given

Two coherent monochromatic light beams of intensities 4I and 9I are superimposed.

Step 2: Calculation of the maximum intensity

The maximum intensity can be calculated by the following formula

Imax=I1+I22

Here, Imax is the maximum intensity, I1 and I2 are the intensities of the light beams.

Imax=4I+9I2Imax=2+32IImax=25I

Hence, the maximum intensity of the resulting light beam is 25I.

Step 3: Calculation of the minimum intensity

The minimum intensity can be calculated by the following formula

Imin=I1-I22

Here, Imin is the minimum intensity.

Imin=4I-9I2Imin=2-32IImin=I

Hence, the minimum intensity of the resulting light beam is I.

Therefore, option (D) is correct.


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