Question

A mirror forms an image which is 30cm from an object and twice it's height. where must the mirror be situated​

Answer 1

Step-by-step explanation:

Given that a magnified image is formed by the spherical mirror. The given condition is possible only when the object is placed between the focus and the pole of the concave mirror.

Suppose, -u is the object distance, +v is the image distance and -f is the focal length.

m = -v/u = 2

v = -2u •••• (1)

Also,

-u + v = 30 •••• (Now substitute (1) here)

-3u = 30

u = -10

And v = 20

Now, 1/v + 1/u = 1/f

1/20 - 1/10 = 1/f

Therefore, f = -20

So, the object distance is -10 cm and the center of curvature is at -40 cm.

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