Trayi Goyal
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Find the focal length of a convex mirror whose radius of curvature is 32 cm.

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NCERT Solution for Class 10 Science Chapter 10
Light – Reflection and Refraction
NCERT Books for Session 2022-2023
CBSE Board and UP Board
Intext Questions
Page No-171
Questions No-1

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5 Answers

  1. Radius of curvature, R = 32 cm
    Radius of curvature = 2 × Focal length (f)
    R = 2f
    F = R/2 = 32/2 = 16 cm
    Hence, the focal length of the given convex mirror is 16 cm.

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  2. R = +32 cm
    f=R/2
    =+32/2=+16cm
    The focal length of the given convex mirror is 16 cm.

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  3. R= 32 cm
    Radius of curvature = 2 × Focal length (f)
    R= 2f= R/2 = 32/2 = 16
    Hence, the focal length of the given convex mirror is 16 cm.

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  4. The relationship between the focal length (f) and the radius of curvature (R) for a spherical mirror is given by the mirror equation:

    1/f = 1/R

    For a convex mirror, the radius of curvature (R) is considered negative. Given that the radius of curvature is R =−32cm, we can substitute this value into the mirror equation to find the focal length (f):

    1/f = 1/(-32)

    Now, solve for f:

    f = -32/1

    Therefore, the focal length of the convex mirror is f =−32cm. The negative sign indicates that the focal point is on the same side as the reflective surface, which is typical for convex mirrors.

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