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An object is kept at a distance of $4 m$ in front of a spherical mirror which forms its erect image at a distance of $1.0 m$ from the mirror. Which of the following is the type of mirror and magnification of mirror?

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Convex and

m = 1.25 m

Concave and

m = 1.25 m

Convex and

m = 0.25 m

Concave and

m = 0.25 m

answer is C.

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Detailed Solution

If the object is kept at a distance of

4 m

in front of a spherical mirror which forms its erect image at a distance of

1.0 m

from the mirror. The mirror will be concave with a magnification of

0.25 m

.
Given,
Object distance,

u = - 4 m

Image distance,

v = 1 m

It is known that the magnification

(m)

of the mirror is given by

m = - \frac{v}{u}

On substituting the values, we get

\Rightarrow m = - \frac{1}{(- 4)}

\Rightarrow m = + 0.25 m

Since the magnification is positive and it is given that the image is erect, the mirror is convex and value of the magnification is

+ 0.25 m

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