A convex lens produced 3 times enlarge image of an object placed at 12cm in front of it. calculate the radius of the convex lens?
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A concave mirror produces 3 times enlarged virtual image of an object placed at 10 cm in front of mirror. calculate the radius of curvature of mirror.
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Nancy2468
Nancy2468 Ambitious
Given,
m= -3
u= -10cm
v= ?
we know that,
m= -v/u
-3= -v/-10
-3× -10= -v
30= -v
therefore, v= -30 and the image is located at a distance of 30 cm in front of the mirror.
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prmkulk1978
prmkulk1978 Ace
Given:
m= +3
Object Distance = u= -10cm( sign conventions)
V=?
Formula to be used:m= -V/u
V= -m x u
= -3×-10
=30 cms
Now to find focal length , Let us use mirror formula:
1/f = 1/v + 1/u
1/f = 1/30 -1/10
=1-3/30
=-2/30
=-1/15
f = -15cms.
The object is placed between P and F and we get virtual , enlarged and erect image.
Radius of curvature = 2f
= 2x-15
=-30cms.
Explanation:
( a ) The image formed in front of the concave mirror is real , so m is negative
, m = - 3 , u = - 10 cm
As m = - v / u or - 3 = - V / - 10
v = - 30 cm
By mirror formula ,
1 / f = 1 / 4 + 1 / u = 1 / - 30 + 1 / - 10 = - 4 / 30
or f = - 30 / 4 = - 7 . 5 cm
Radius of curvature ,
R = 2f = 2 x ( - 7 . 5 ) = 15cm
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