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An object of 2 cm placed …

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An object of 2 cm placed in front of a concave mirror of radius of curvature 20 cm at 30 cm find the position nature and size of the image
  • 1 answers

Yogita Ingle 5 years, 11 months ago

Given,Height of object h1= 2cm

Object distance u= -20 cm

Focal length of concave mirror f= -10 cm

To find:

Distance of screen = Image distance v=?

Height of image h2=?

We know that mirror formula is:
1/v = 1/u = 1/f

Substituting the given values in the formula:
1/v + 1/(-20) = 1/(-10)
1/v = 1/(-10) + 1/20
1/v= 10/-200

v= -200/10= -20cm

Screen should be placed at distance 20 cm from mirror in order to obtain sharp image

In other words, screen should be placed at distance 20+20 = 40 cm from the object in order to obtain sharp image.

Image will be formed in front of the mirror, i.e. real.

Magnification = -image distance/object distance

Magnification= -(-20)/(-20)
Magnification=-1
Also,Height of image = - (Height of object) 

This means that image is of same size as the object but it is inverted.

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