Question

Imagine that a spherical mirror gives an image magnified 5 times at a distance 5 m . If so determine whether the mirror is concave or convex . How much will be the focal length of the mirror

Answer 1

See the attachment.

Hope it works.

Answer 2

The focal length is -1.25 m so the mirror will be concave.

Explanation:

Given that,

Magnification = 5

Image distance = 5

We need to calculate the object distance

Using formula of magnification

$m=\dfrac{-v}{u}$

Where, v = image distance

u = object distance

Put the value into the formula

$5=\dfrac{-5}{u}$

$u=-1\ m$

We need to calculate the focal length

Using formula of mirror

$\dfrac{1}{f}=\dfrac{1}{5}+\dfrac{1}{-1}$

$\dfrac{1}{f}=\dfrac{-4}{5}$

$f=-1.25\ m$

Hence, The focal length is negative so the mirror will be concave.

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Topic : Mirror formula

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