Question

Image formed by a concave mirror is real and twice the size of the object .calculate magnification of the mirror

Answer 1

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Answer 2

Answer:

The magnification of the concave mirror is -2.

Explanation:

Given,

The height of the image($h_v$) formed by a concave mirror is real and twice the height of the object($h_o$).

i.e. $h_v = 2h_o$

To find,

The magnification of the concave mirror.

Concept,

The magnification (m) of a concave mirror is given by:

$m = \frac{h_v}{h_o}$

Where,

$h_v$ is the height of the image obtained by the concave mirror.

$h_o$ is the height of the object placed in front of the concave mirror.

Calculation,

$h_v = -2h_o$ (As for a concave mirror if the image is real, then the image will be inverted, so down the principle axis the height is negative)

Hence,

$m = \frac{-2h_o}{h_o}$

⇒ m = -2

Therefore, the magnification of the concave mirror is -2.

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