An object of size 7 cm is kept 27 cm away from a convex mirror. If the focal length of the mirror is 15 cm, find the position, nature and size of the image.

Open in App

Solution

Given, u=-27cm, f=+15cm

to be find out, v=?,

Using mirror formula

1/v = 1/f - 1/u

1/v = (1/15) - (1/-27)

1/v =14/135

V=135/14 = 9.64cm
(since v is +ve)
behind the mirror.

So, the nature of the image is Virtual.

height of object = ho = 7cm (given)

m = hi / ho = -v/u

m = -v/u = -9.64 / -27 = .357

therefore,
hi = m x ho = .357 x 7 = 2.499 cm.

size of image = 2.499 cm.

size of image is diminished.

Suggest Corrections

Similar questions

Solve:

(1) An object of size 7 cm is placed at 25 cm in front of concave mirror of focal length 15 cm. At what distance from the mirror should a screen be placed, so that we can get a sharp and clear image. Find nature and size of the image.

(2) An object of height 5 cm is held 20 cm away from converging lens of focal length 10 cm. Find the position, nature and size of the image formed.

(3) An object is placed at a distance of 10 cm from a convex lens of focal length 12 cm. Find the position and nature of the image.

Q. Find the size, nature and position of image formed when an object of size

1 c m

is placed at a distance of

15 c m

from a concave mirror of focal length

10 c m

6. a.An object 4 cm in size is placed at a distance of 25 cm from a concave mirror of focal
length 15 cm. Find the position, nature and height of the image.
b A converging mirror forms a real image of height 4 cm, of an object of height 1 cm
placed 20 cm away from the mirror. Calculate the image distance. What is the focal
length of the mirror?

A concave mirror has a focal length of 4 cm and an object 2 cm tall is placed 9 cm away from it. Find the nature, position and size of the image formed.

An object is placed at a distance of 20 cm from a convex mirror of a focal length of 15 cm. Find the position and nature of the image.

Join BYJU'S Learning Program