Home
Class 11
PHYSICS
Prove that spherical mirror formula is a...

Prove that spherical mirror formula is applicable equally to a plane mirror.

Text Solution

Verified by Experts

The spherical mirror formula is `(1)/(u)+(1)/(v)=(1)/(f)`…(i)
For a plane mirror, `R = oo`
`f = ( R)/(2) = oo`
From (i), `(1)/(u)+(1)/(v)=(1)/(oo) = 0` or `(1)/(v)= - (1)/(u)`
or `v = -u`
AS `u` is negative, `v` becomes `+`.
Hence, image of formed behind the mirror at the same distance as the object is in front of it. This is what happens in a plane mirror. hence the desired result.
Doubtnut Promotions Banner Mobile Dark
|

Topper's Solved these Questions

  • RAY OPTICS

    PRADEEP|Exercise Very Short (a)|23 Videos

  • RAY OPTICS

    PRADEEP|Exercise Short Answer(a)|14 Videos

  • RAY OPTICS

    PRADEEP|Exercise Solved Example(a)|14 Videos

  • PROPERTIES OF BULK MATTER

    PRADEEP|Exercise Multiple choice questions|7 Videos

  • SYSTEMS OF PARTICLES AND ROTATIONAL MOTION

    PRADEEP|Exercise Assertion- Reason Type questions|20 Videos

Similar Questions

Explore conceptually related problems

Spherical Mirrors

Spherical Mirrors

The formula governing reflection of light from a spherical mirror is (1)/(v) + (1)/(u) = (2)/(R ) , where u = distance of object from pole of mirror, upsilon = distance of image from pole of mirror f = focal length of mirror, R = radius of curvature of mirror. This is known as mirror formula and is applicable equally to concave mirror and convex mirror. m = (I)/(O) = (upsilon)/(u) Read the above passage and answer the following questions : (i) An object is held at a distance of 30 cm in front of a concave mirror of radius of curvature 40 cm . Calculate distance of the image from the object ? What is linear magnification of the mirror ? (ii) The object is moved to a distance of 40 cm in front of the mirror. How is focal length of mirror affected ? (iii) What values of life do you learn from the mirror formula ?

For a spherical mirror, (1)/(v) + 1/u = (1)/(f) =2/R , where u= distance of object from pole of mirror v= distance of image from pole of mirror f= focal length of mirror R= radius of curvature of mirror. This formula is known as mirror formula. It is applicable equally to convex mirror as well as concave mirror. Read the above passage and answer the following questions : (i) When we change u by moving the object, how is focal length f, affected? (ii) The radius of curvature of a spherical mirror is 40 cm. What is its focal length? (iii) Focal lenght of a mirror depends neither on u, nor on v. It depends only on radius of curvature of the mirror. What values of life do you learn from this fact?

Spherical mirror and graphs

Spherical mirror and Graphs

Prism || Spherical mirror

Uses Of Spherical Mirrors

Problem Based on Spherical Mirror

Velocity OF Spherical mirror

Home
Profile