Home
Class 12
PHYSICS
Two convex lenses of focal length f1 and...

Two convex lenses of focal length `f_1` and `f_2` are mounted coaxially separated by a distance. If the power of the combination is zero, the distance between the lenses is

A

`|f_1-f_2|`

B

`f_1+f_2`

C

`(f_1f_2)/(|f_1-f_2|)`

D

`(f_1f_2)/(f_1-f_2)`

Text Solution

Verified by Experts

The correct Answer is:
B

`d:` distance between lenses
`(1)/(F)=(1)/(f_1)+(1)/(f_2)-(d)/(f_1f_2)`
`P=(1)/(F)=0`
`(d)/(f_1f_2)=(1)/(f_1)+(1)/(f_2)=(f_2+f_1)/(f_1f_2)`
`d=f_1+f_2`
Doubtnut Promotions Banner Mobile Dark
|

Topper's Solved these Questions

  • REFRACTION AT SPHERICAL SURFACES

    CP SINGH|Exercise EXERCISES|105 Videos
  • REFLECTION OF LIGHT

    CP SINGH|Exercise EXERCISES|67 Videos
  • REFRACTION OF LIGHT BY PLANE SURFACES

    CP SINGH|Exercise Exercises|110 Videos

Similar Questions

Explore conceptually related problems

Two convex lenses of focal lengths f_(1) and f_(2) are placed coaxially, a distance d apart. If the axis of one of the lenses is lifted parallel to itself by Delta , find the distance by which the focal point is shifted and the distance of the focal point from the first lens.

Two thin convex lenses of focal lengths f_(1) and f_(2) are in contact and coaxial. The power of the combination is

Knowledge Check

  • Two convex lenses of focal lengths f_(1) and f_2 are separated co-axially by a distance d. The power of the combination will be one if

    A
    `d=(f_(1)+f_(2))-f_(1)f_(2)`
    B
    `d=(f_(1)-f_(2))+f_(1)f_(2)`
    C
    `d=sqrt(f_(1)f_(2))..f_(1)+f_(2)`
    D
    `d=((f_(1)-f_(2))/(2))`
  • A convex lens of focal length 25 cm and a concave lens of focal length 20 cm are mounted coaxially separated by a distance d cm . If the power of the combination is zero, d is equal to

    A
    `45`
    B
    `30`
    C
    `15`
    D
    `5`
  • Two thin convex lenses of focal length 20 cm and 25 cm are placed at a finite distance apart. The power of the combination is 8 D. Distance between the lenses is

    A
    `5` cm
    B
    `10` cm
    C
    `8` cm
    D
    `4` cm
  • Similar Questions

    Explore conceptually related problems

    Two thin convex lenses of focal lengths 4 cm and 8 cm are separated by a distance of 4 cm in air. The combination will have the focal length

    Two thin lenses of focal lengths f_1 and f_2 are placed in contact with each other. The focal length of the combination is :

    Two thin lenses of focal lengths f_1 and f_2 are placed in contact with each other. The focal length of the combination is :

    Two similar thin equi-convex lenses, of focal length f each, are kept coaxially in contact with each other such that the focal length of the combination is F_1 , When the space between the two lenses is filled with glycerine (which has the same refractive index ( mu=1.5 ) as that of glass) then the equivalent focal length is F_2 . The ratio F_1 : F_2 will be :

    Two thin lenses of focal length f_(1) and f_(2) are in contact and coaxial. The power of the combination is