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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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