Home
Class 10
PHYSICS
The image formed by a convex mirror of f...

The image formed by a convex mirror of focal length 20 cm is a quarter of the object. What is the distance of the object from the mirror?

A

50 cm

B

45 cm

C

90 cm

D

60 cm

Text Solution

Verified by Experts

The correct Answer is:
D

Here, `f = 20 cm`, `m = h_(2)/h_(1) = (-v)/u = 1/4` or `v = -u//4`
From `1/v + 1/u = 1/f`, `(-4)/u + 1/u = 1/20` or `(-3)/u = 1/20 , u = -60 cm`
Doubtnut Promotions Banner Mobile Dark
|

Topper's Solved these Questions

  • REFLECTION AND REFRACTION

    PRADEEP|Exercise NCERT QUESTION|14 Videos
  • REFLECTION AND REFRACTION

    PRADEEP|Exercise NCERT EXERCISE|17 Videos
  • MAGNETIC EFFECTS OF ELECTRIC CURRENT

    PRADEEP|Exercise Mock Test|21 Videos
  • SOURCES OF ENERGY

    PRADEEP|Exercise Mock Test|20 Videos

Similar Questions

Explore conceptually related problems

The image formed by a convex mirror of focal length 30 cm is a quarter of the object. What is the distance of the object from the mirror?

The image formed by a convex mirror of focal length 30 cm . is a quarter of the object. What is the distance of the object from the mirror ?

Knowledge Check

  • Image formed by a concave mirror of focal length 6 cm , is 3 times of the object, then the distance of object from mirror is

    A
    `-4 cm`
    B
    `8 cm`
    C
    `6 cm`
    D
    `12 cm`
  • The image formed by a convex mirror of focal length 30 cm is a quarter of the object. The object distance and image distance, along with the sign convention, are tabulated below. Select the row containing the correct values of object and image distance:

    A
    `{:("Object Distance","Image Distance (v)"),("-90 cm","22.5 cm"):}`
    B
    `{:("Object Distance","Image Distance (v)"),("-22.5 cm ","+90 cm"):}`
    C
    `{:("Object Distance","Image Distance (v)"),("-90 cm","-22.5 cm"):}`
    D
    `{:("Object Distance","Image Distance (v)"),("-90 cm ","+90 cm "):}`
  • A convex mirror offocal length fforms an image which is 1/n times the object. The distance of the object from the mirror is:

    A
    (n-1)fF
    B
    `((n-1)/n)f`
    C
    `((n+1)/n)f`
    D
    (n+1)f
  • Similar Questions

    Explore conceptually related problems

    A concave mirror of focal length/produces a real image n times the size of the object. What is the distance of the object from the mirror ?

    The linear magnification of a convex mirror of focal length 15 cm is 1/3 . What is the distance of the object from the focus of the mirror ?

    A convex mirror of focal length f forms an image which is (1)/(n) times the object. The distance of the object from the mirror is

    A convex mirror of focal length f produced an image (1//n)^(th) of the size of the object. The distance of the object from the mirror is

    An object is placed in from of a convex mirror of focal length 50 cm, if the image is one fourth the size of the object, the distance of the image from the mirror is