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In Figure ., L is a converging lens of f...

In Figure ., L is a converging lens of focal length 10cm and M Iis a concave mirror of radius of curvature 20cm. A point object O is placed in front of the lens at a distance of 15cm. Ab and CD are optical axes of the lens and mirror, respectively. Find the distance of the final image formed by this system from the optical center of the lens. The distance between CD and AB is 1cm.

A

a = 2.5 cm

B

b = 5 cm

C

Distance of image from object is 15 cm

D

Image formed by silvered lens system is virtual

Text Solution

Verified by Experts

The correct Answer is:
C, D
`(2(a+b)-a)/(a)=2`
`{:(a+2b=2a,,2b=a),((1)/(f_(2))=(1.5-1)((2)/(40)),,f_(2)=40):}`
`f_(m)=-20`
`(1)/(F)=(1)/(f_(m))-(2)/(f_(2))f=-10cm`
`(1)/(V)+(1)/(u)=(1)/(F) a=5`
`(1)/(2a)+(1)/(-a)=(1)/(-10)b=2.5`
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