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Question

Use the mirror equation to deduce that an object placed between f and 2f of a concave mirror produces a real image beyond 2f.

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Solution

For a concave mirror, the focal length (f) is negative.

f < 0

When the object is placed on the left side of the mirror, the object distance (u) is negative.

u < 0

For image distance v, we can write the lens formula as:

The object lies between f and 2f.

Using equation (1), we get:

is negative, i.e., v is negative.

Therefore, the image lies beyond 2f.


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