Question

An object 5cm high is placed at a distance of 10cm from a convex mirror of Radius of Curvature 30cm. Find the size of the image.(in cm)​

Answer 1

Given mirror is convex mirror

f = R/2= 30/2=15

u= -10 cm

h= 5 cm

Now, we have to find the nature , position ,and size of image.

Thus using mirror equation

1/f= 1/u+ 1/v

1/v = 1/f - 1/u

1/v = 1/15 + 1/10

1/v = 25/150

v= 6 cm (hence image will be formed between focus and pole)

Now magnification,

m = -(v/u) = (h'/h)

m = -(-6/10) = 3/5

=3/5(image will be virtual , erect ,and diminished)

Now again,

m= h'/h

3/5 =h'/5

h'= hence the size of image will be 3 cm.