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The intensity of a point source of light, S, placed at a distance d in front of a screen A, is I0 at the center of the screen. -

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Question

The intensity of a point source of light, S, placed at a distance d in front of a screen A, is I0 at the center of the screen. Find the light intensity at the center of the screen if a completely reflecting plane mirror M is placed at a distance d behind the source, as shown in the figure.

Options

  • `(27  "I"_0)/9`

  • `(25  "I"_0)/9`

  • `(17  "I"_0)/9`

  • `(10  "I"_0)/9`

MCQ

Solution

`(10  "I"_0)/9`

Explanation:

E1 = I0 = `"L"/"d"^2`, without mirror

and E2 = `"L"/"d"^2 + "L"/(3"d")^2 = "L"/"d"^2[1 + 1/9] = (10  "I"_0)/9` with mirror

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