1) An object of size 7.0 cm is placed at 27 cm in front of a concave mirror of focal length 18 cm. At what distance from the mirror should a screen be placed, so that a sharp focused image can be obtained?
Find the size and the number of the image.
(Hint): Find the value of image distance (v) first, the screen should be placed from the mirror at a distance equal to image distance.
Answers
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19
Given that:
u = – 27 cm
f = – 18 cm
h0 = 7.0 cm
Find out:
We need to find out size and nature of image
Formula:
We know the mirror formula that
1/v = 1/f- 1/u
1/v = -1/18 + 1/27 = -1/54
V = – 54 cm
The screen must be placed at a distance of 54 cm from the mirror in front of it.
hi/h0= v/u
hi/h0= v/u
hi/7 = +54/-27 hi= -2 x 7 = -14 cm.
Thus, the image is of 14 cm length and is inverted image
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