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A point object O is placed at a distance...

A point object O is placed at a distance of 20 cm is front of a equiconvex lens `(.^(a)mu_(g) = 1.5)` of focal length 10 cm. The lens is placed on a liquid of refractive index 2 as shown in figure. Image will be formed at a distance h from lens the value of h is

A

5 cm

B

10 cm

C

20 cm

D

40 cm

Text Solution

Verified by Experts

The correct Answer is:
D
As `1/f = (mu-1)[(1)/(R_(1))-(1)/(R_(2))]`
`1/10 = (1.5-1)(1/R+1/R)=0.5xx2/R rArr R = 10 cm`
`:. (mu_(2))/(v) - (mu_(1))/(u) = (mu_(2) - mu_(1))/(R)`
Refraction from first surface,
`(1.5)/(v_(1)) - (1)/(-20) = (1.5-1)/(+10) rArr v_(1) = oo`
For the second surface,
`2/v-(1.5)/(oo)=(2-1.5)/(-10) = v = - 40 cm :. h = 40 cm`
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