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Q.

The magnification of the image when an object is placed at a distance x from the principal focus of a mirror of focal length f is:

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a

\frac{x}{f}

b

1+

\frac{x}{f}

c

\frac{f}{x}

d

\frac{f}{x}

answer is C.

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Detailed Solution

Concept: The object is given a distance of x+f from the mirror. The image distance is calculated using the mirror formula in terms of the focal length f and the object distance x+f. Then, using the fact that magnification is the ratio of image distance to object distance, substitute the expressions for the image and object distances that we obtained to obtain the required relation.
Used formula:
In a spherical mirror,

Multiply both sides by u

Here,

Hence, option 3 is correct.

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