Home/ Questions/Q 485504
Next
In Process
Abbas Rao Varghese
Asked: 2022-11-10T06:02:55+05:30 In:

Two planoconvex lenses each of the focal length of`10cm`&refractive index`3//2`are placed as shwon .In the space left water`(R.I.=4//3)`is filled.Then whole arrangement is in air.The optical power of the system is(in diopters).
image
A. `6.67`
B. `-6.67`
C. `33.3`
D. `20`

Two planoconvex lenses each of the focal length of`10cm`&refractive index`3//2`are placed as shwon .In the space left water`(R.I.=4//3)`is filled.Then whole arrangement is in air.The optical power of the system is(in diopters).
image
A. `6.67`
B. `-6.67`
C. `33.3`
D. `20`
Parabola
Leave an answer

Leave an answer

Browse

1 Answer

  1. Correct Answer – A
    `(1)/(f)=(mu-1)((1)/(R_(1))-(1)/(R_(2)))`
    `(1)/(10)=(1.5-1)((1)/(oo)-(1)/(-R)) rArr (1)/(10)=(0.5)/(R ) rArr R=5cm`
    focal length of middle lense
    `(1)/(f_(2))=(mu-1)((1)/(R_(1))-(1)/(R_(2)))`
    `(1)/(f_(2))=((4)/(3)-1)((1)/(-5)-(1)/(5))`
    `(1)/(f_(2))=(1)/(3)xx(-2)/(5)`
    `(1)/(f_(2))=(-2)/(15)`
    `(1)/(f_(eq))=(1)/(f_(1))+(1)/(f_(2))+(1)/(f_(3)) rArr (1)/(f_(eq))=(1)/(10)-(2)/(15)+(1)/(10)`
    `(1)/(f_(eq))=(3-4+3)/(30) rArr (1)/(f_(eq))=(1)/(15)`
    for combination,`P_(eq)=(100)/(f_(eq))`
    `P_(eq)=(100)/(15)D rArr P_(eq)=6.67D`

    • 0