College

What is the height of an image produced by a curved mirror if a 10.0 cm tall object is placed 8.00 cm from the mirror and produces an image 4.00 cm behind the mirror?

A. -5.00 cm
B. 20.0 cm

Answer :

The height of the image of a curved mirror is 8.0cm

We are given that,

The object height = h₀= 10 cm

The image distance= q = 4 cm

The object distance = p = 8 cm

The height of the image height = h(i)= ?

Therefore height of the image can be given by the formula,

M = hi/ h₀ = q/p

Here, M is the magnification of the mirror, then putting the given values in above equation , therefore, we can get,

hi/ 10cm = 4cm/8cm

hi = 0.8 × 10 cm

hi = 8.0 cm

Thus, 8.0cm of height of the image will be produced.

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