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1. An object of size 9 cm is placed at 20 cm in front of a concave mirror of focal length15 cm. At what distance from the mirror should a screen be placed, so that a sharp focussedimage can be obtained? Find the size and the nature of the image.​

Answer»

Answer :

Position of object = 9cm

Distance of object = 20cm

FOCAL length = 15cm

Type of mirror : concave

We have to find position of object and HEIGHT of image.

Focal length of concave mirror is taken negative and that of convex mirror is taken positive.

Position of image can be measured by using mirror formula.

  • 1/u + 1/v = 1/f

u denotes position of object

v denotes position of image

f denotes focal length

By substituting the values, we get

➝ 1/(-20) + 1/v = 1/(-15)

➝ 1/v = -1/15 + 1/20

➝ 1/v = (-4 + 3)/60

v = -60 cm

There for screen should be placed at 60cm in FRONT of mirror in ORDER to get sharp focussed image.

Formula of magnification is given by

➝ m = -v/u = h'/h

  • h' = height of image
  • h = height of object

➝ -(-60)/(-15) = h'/9

➝ -4 = h'/9

h' = -36 cm

Negative sign indicates that image is real and inverted.

Nature : Real, inverted and enlarged



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