Question

if an object is placed 10cm from a convex mirror of radius of curvature 60cm. find the position of image​

Answer 1

Given,

An object is placed 10 cm from a convex mirror of radius of curvature 60 cm.

To Find,

The position of the image.

Solution,

As the radius of curvature = 60 cm, the focal length (f) = 60/2 = 30 cm.

Distance of the object from the mirror = 10 cm

Therefore, u = -10 cm

Using the mirror equation

$\frac{1}{v} +\frac{1}{u} =\frac{1}{f}$

To find the position of the image (v),

$\frac{1}{v} =\frac{1}{f} -\frac{1}{u}$

Substituting the values,

$\frac{1}{v} = \frac{1}{30} -(\frac{-1}{10} )$

= $\frac{4}{30}$

Therefore the image is located 7.5 cm behind the mirror.

The Mirror Equation

The mirror equation determines the relationship between the focal length, the object's distance from the mirror and the position of the image. Here,

the focal length = f

distance of object from mirror = u

position of image = v

(This equation is applicable to spherical mirrors - convex and concave mirrors.)

Answer 2

Explanation:

f= 30 because it's convex not concave