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
Find the focal length of a convex mirror whose radius of curvature is 32 cm.
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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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R = +32 cm
f=R/2
=+32/2=+16cm
The focal length of the given convex mirror is 16 cm.
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.
R = +32cm and f = R/2= + 32/2= +16cm.
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.