State whether the following statement is true or false:

Is the formula for a concave mirror, where symbols have their usual meanings.

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True

False

answer is A.

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Detailed Solution

The given statement is true.
Concept: A mirror formula is the relationship between the object distance 'u', the image distance 'v', and the mirror focal length 'f'. The mirror formula applies to both plane and spherical mirrors (convex and concave mirrors).
The mirror formula is written as:

Let AB be an object placed on the principal axis of a concave mirror with a focal length of

, with.

representing the distance between the object and the mirror and

representing the distance between the image and the mirror.
Question Image

In the above figure
In

and

(AA similarity rule)

Similarly, in

and

Now,

Substituting the above values in the above relation, we will get the answer
Question Image

As a result, the reciprocal of the focal length is numerically equal to the sum of the reciprocals of the object's and image's distances from the mirror.
Hence, the given statement is true.

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