Calculate the distance of an object of height h

Asked by admin @ 20/08/2021 in Physics viewed by 258 People

Calculate the distance of an object of height h from a concave mirror of focal length 10cm, so as to obtain a real image of magnification 2.

Answered by admin @ 20/08/2021

Let u be the object distance and v be the image distance and the magnification of the mirror be represented by m.

We know, f is the focal length.

Given,

height of object = h

focal length , f = 10 cm.

m = - 2 (concave mirror)

mirror = concave

-2 = - $\frac{v}{u}$

v = 2 u

By the Mirror formula,

$\frac{1}{f} = \frac{1}{u} +\frac{1}{v}$

$\frac{1}{2u} +\frac{1}{u} = \frac{-1}{10}$

On solving, $2 u = -30$

$u = -15 cm$

Thus the object should be placed at 15 cm in front of mirror.

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