Question

Concave mirror produces 4 times magnified real image of an object .if the focal length is 40 cm .then find image & the object distance

Answer 1

Answer:

if you got the answer then please tell me also

Answer 2

The image & the object distance (-200 m) and 50 cm.

Explanation:

Given that,

Concave mirror produces 4 times magnified real image of an object i.e. magnification of the image is 4. The focal length of the concave mirror is 40 cm i.e. (-40 cm)

magnification,

$m=\dfrac{-v}{u}\\v=-4u$

We need to find the image & the object distance. Using mirror's formula to find it as :

$\dfrac{1}{v}-\dfrac{1}{u}=\dfrac{1}{f}$

$\dfrac{1}{-4u}-\dfrac{1}{u}=\dfrac{1}{-40}$

u = 50 cm

So, object distance is 50 cm

Since,

$v=-4u\\v=-4\times 50\\v=-200\ m$

Hence, this is the required solution.

Learn more,

Mirror's formula

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