An object of height $2 c m$ is placed at a distance $20 c m$ in front of a concave mirror of focal length $12 c m$ . Which of the following is true about image?

The position of image is

30 c m

in front of mirror

No worries! We‘ve got your back. Try BYJU‘S free classes today!

Size of the image is

3 c m

No worries! We‘ve got your back. Try BYJU‘S free classes today!

The image is real, inverted and magnified

No worries! We‘ve got your back. Try BYJU‘S free classes today!

All the above are true

Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses

Open in App

Solution

The correct option is D All the above are true
Size of object $h_{o} = 2 c m$
Size of the object $h_{i} = ?$
Focal length $f = - 12 c m$
Object distance $u = - 20 c m$
Image distance $v = ?$
Using mirror formula
$\frac{1}{f} = \frac{1}{v} + \frac{1}{u}$
$\frac{1}{- 12} = \frac{1}{v} + \frac{1}{- 20}$
$\frac{1}{v} = \frac{- 5 + 3}{60}$
$v = - 30 c m$
Magnification (M) $= \frac{h_{i}}{h_{o}} = \frac{- v}{u} = \frac{30}{- 20} = - 1.5$
$h_{i} = - 1.5 \times 2 = - 3 c m$
Image will be real, inverted and magnified.

Suggest Corrections

Similar questions

An object is placed (a) 20 cm, (b) 4 cm, in front of a concave mirror of focal length 12 cm. Find the nature and position of the image formed in each case.

Q. A

2 c m

high object is placed at a distance of

32 c m

from a concave mirror. The image is real inverted and

3 c m

in size. Find the focal length of the mirror and the position where the image is formed.

Q. A convex lens of focal length

30 c m

forms an image of height

2 c m

for an object situated at infinity. If a concave lens of focal length

20 c m

is placed coaxially at a distance of

26 c m

in front of convex lens the size image would be

Q. A concave mirror forms a real image of an object placed in front of it at a distance

30 c m

, of size three times the size of object. Find (a) the focal length of mirror (b) position of image

An object is placed at a distance of $12$ cm in front of a concave mirror, it forms a real and inverted image. Where is the image formed if image height is double the object?

Join BYJU'S Learning Program

An object of height 2 cm is placed at a distance 20 cm in front of a concave mirror of focal length 12 cm. Which of the following is true about image?

An object of height $2 c m$ is placed at a distance $20 c m$ in front of a concave mirror of focal length $12 c m$ . Which of the following is true about image?