A $20 c m$ tall object is placed perpendicular to the principal axis of a convex lens of focal length $10 c m$ . If object distance is $15 c m$ . Find the image distance.

- 30 c m

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

30 c m

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

15 c m

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

- 15 c m

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

Open in App

Solution

The correct option is A $30 c m$
Given: $h = 20 c m, f = + 10 c m, u = - 15 c m$

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

$\frac{1}{v} = \frac{1}{10} + \frac{1}{(- 15)}, \Rightarrow \frac{1}{30}$ .

Therefore, the image distance, $v = 30 c m$

Also, magnification, $m = \frac{v}{u} = \frac{30}{- 15} = - 2$

Suggest Corrections

Similar questions

Q. If a

3 c m

tall object placed perpendicular to principal axis of a convex lens of focal length

15 c m

produces a real invented image of height

15 c m

, then its object distance

(u)

is ................ and image distance

(v)

is ................

Q. One half of a convex lens of focal length 10 cm is covered with a black paper. Can such a lens produce an image of a complete object placed at a distance of 30 cm from the lens? Draw a ray diagram to justify your answer.
A 4 cm tall object is placed perpendicular to the principal axis of a convex lens of focal length 20 cm. The distance of the object from the lens is 15 cm. Find the nature, position and size of the image.

Q. An object is placed

30 c m

in front of a convex lens of focal length

10 c m

. Find out the distance of the image from the lens and its nature? Assume the object distance to be negative.

A 2 cm tall object is placed perpendicular to the principal axis of a convex lens with a focal length of 10 cm. The distance of the object from the lens is 15 cm. Find the position, nature, and size of the image. Calculate the magnification of the lens.

A convex lens of focal length 15 cm produces a magnification of + 4. The object is placed : (a) at a distance of 15 cm (b) between 15 cm and 30 cm (c) at less than 15 cm (d) beyond 30 cm

Join BYJU'S Learning Program

A 20 cm tall object is placed perpendicular to the principal axis of a convex lens of focal length 10 cm. If object distance is 15 cm. Find the image distance.

The correct option is A 30 cmGiven: h=20cm,f=+10cm,u=−15cm1f=1v−1u⇒1v=1f+1u1v=110+1(−15),⇒130.Therefore, the image distance, v=30 cmAlso, magnification, m=vu=30−15=−2

A $20 c m$ tall object is placed perpendicular to the principal axis of a convex lens of focal length $10 c m$ . If object distance is $15 c m$ . Find the image distance.