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The relation between focal length and ra...

The relation between focal length and radius of curvature of a spherical mirror is

A

`f = (R)/(2)`

B

`R = (f)/(2)`

C

f = 2R

D

f = R

Text Solution

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The correct Answer is:
A
The relation between focal length and radius of curvature of a spherical mirror is, `f = (R)/(2)`.
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What is the relation between the focal length and radius of curvature of a spherical mirror (concave mirror or convex mirror ) ? Calculate the focal length of a sphrical mirror whose radius of curvature is 25 cm.

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Knowledge Check

  • The relation between focal length f and radius of curvature R of a spherical mirror is.

    A
    f = R
    B
    f = R/2
    C
    f = 2 R
    D
    none of these

  • What is the relation between focal length and radius of curvature of a concave mirror?

    A
    `f=2 R`
    B
    `f=1/3 R`
    C
    `f=1/2 R`
    D
    `f= R^2`

  • The radius of curvature of a spherical mirror is equal to _____.

    A
    f-2
    B
    2f
    C
    f+2
    D
    f/2

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    Write the relationship between focal length and radius of curvature.

    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?

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    A LASER source placed between two concave mirrors sends light rays as shown in the figure. If PQ and RS are parallel to the principal axis, determine the focal lengths and radius of curvatures of both the mirrors.

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