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.

Share

R = +32cm and f = R/2= + 32/2= +16cm.

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.

For more answers visit to website:

https://www.tiwariacademy.com/ncert-solutions/class-10/science/chapter-10/

R = +32 cm

f=R/2

=+32/2=+16cm

The focal length of the given convex mirror is 16 cm.

R= 32 cmRadius of curvature = 2 × Focal length (

f)R= 2f= R/2 = 32/2 = 16Hence, the focal length of the given convex mirror is 16 cm.

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.