✓ Board-verified
Physics · 2023 · 2 marks
Ray Optics and Optical InstrumentsRefraction at Spherical Surfaces and by Lenses2 marksApplyvery short answer
CBSE 2023 · Region 2 · Set 1 · Q21
In the given figure the radius of curvature of curved face in the plano- convex and the plano-concave lens is 15 cm each. The refractive index of the…
In the given figure the radius of curvature of curved face in the plano- convex and the plano-concave lens is $\displaystyle 15$ cm each. The refractive index of the material of the lenses is $\displaystyle 1.5$ . Find the final position of the image formed.

Marking-scheme solution
Using the formula $\displaystyle \dfrac{1}{f} = (\mu - 1)\left( \dfrac{1}{R_1} - \dfrac{1}{R_2} \right)$
Focal length of plano-convex lens $\displaystyle = +30$ cm
Focal length of plano-concave lens $\displaystyle = -30$ cm
For plano-convex lens
As object is at $\displaystyle \infty$, its real image will be formed at its focus i.e $\displaystyle +30$ cm
$\displaystyle v_1 = +30$ cm
For plano-concave lens $\displaystyle u = +(30-20)$ cm
$\displaystyle = +10$ cm\[\frac{1}{f_2} = \left( \frac{1}{v_2} - \frac{1}{u_2} \right) \]\[\frac{1}{-30} = \left( \frac{1}{v_2} - \frac{1}{10} \right) \]$\displaystyle \therefore v_2 = 15$ cmAll Ray Optics and Optical Instruments questions2023 question paperNCERT solutions: Ray Optics and Optical InstrumentsPractice Ray Optics and Optical Instruments →
More from Ray Optics and Optical Instruments
- A small bulb is placed at the bottom of a tank, containing a transparent liquid of refractive index √2, to a depth of 1 m. Calculate the area of the…2026
- Assertion: A convex lens, when immersed in a liquid, disappears. Reason ( R ): The refractive indices of material of the lens and the liquid are…2024
- A right angled isosceles glass prism ABC is kept in contact with an equilateral triangular prism DBC as shown in the figure. Both prisms are made of…2025
- A convex lens (n = 1.52) has a focal length of 15.0 cm in air. Find its focal length when it is immersed in liquid of refractive index 1.65. What…2024
- (i) Draw a labelled ray diagram showing the formation of the image at infinity by an astronomical telescope. (ii) A telescope consists of an…2022
- Two convex lenses A and B, each of focal length 10.0 cm, are mounted on an optical bench at 50.0 cm and 70.0 cm respectively. An object is mounted at…2025
- A right-angled prism ABC (refractive index √2 ) is kept on a plane mirror as shown in the figure. A ray of light is incident normally on the face AC.…2025
- A ray of light is incident on a glass prism of refractive index μ and refracting angle A. If it just suffers total internal reflection at the other…2023
CBSE Class 12 Physics past-paper question from the 2023 board exam, with the answer as CBSE’s own marking scheme gives it. Where our answers come from.