An object is placed in front of a concave mirror of focal length 20 cm. The image formed is three times the size of the object. Calculate two possible distances of the object from the mirror?
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Answered by
180
Dear Student,
◆ Answer -
(a) 80/3 cm
(b) -40/3 cm
● Explanation -
Given that, image size is 3 times object size. Thus magnification is ±3.
(a) For M = +3,
v/u = +3
v = 3u
Using mirror formula,
1/f = 1/v + 1/u
1/20 = 1/3u + 1/u
Solving this,
u = 80/3 cm
(b) For M = -3,
v/u = -3
v = -3u
Using mirror formula,
1/f = 1/v + 1/u
1/20 = 1/-3u + 1/u
Solving this,
u = -40/3 cm
Thanks dear. Hope this helps you...
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26
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