CBSE 2025 · Region 1 · Set 1 · Q30 · 4 marks
A thin lens is a transparent optical medium bounded by two surfaces, at least one of which should be spherical. Applying the formula for image formation by a single spherical surface successively at the two surfaces of a lens, one can obtain the 'lens maker formula' and then the 'lens formula'. A lens has two foci - called 'first focal point' and 'second focal point' of the lens, one on each side. $$(i)
Consider the arrangement shown in figure. A black vertical arrow and a horizontal thick line with a ball are painted on a glass plate. It serves as the object. When the plate is illuminated, its real image is formed on the screen. Which of the following correctly represents the image formed on the screen?
(A)
(B)
(C)
(D)(ii)Which of the following statements is incorrect?(A)For a convex mirror magnification is always negative.(B)For all virtual images formed by a mirror magnification is positive.(C)For a concave lens magnification is always positive.(D)For real and inverted images, magnification is always negative.A convex lens of focal length'$\displaystyle \mathrm{f}$'is cut into two equal parts perpendicular to the principal axis. The focal length of each part will be:(A)f
(B) $\displaystyle 2$ f(C)$\displaystyle \frac{\mathrm{f}}{2}$(D)$\displaystyle \frac{\mathrm{f}}{4}$If an object in case (i) above is $\displaystyle 20$ cm from the lens and the screen is $\displaystyle 50$ cm away from the object, the focal length of the lens used is(A)$\displaystyle 10$ cm(B)$\displaystyle 12$ cm(C)$\displaystyle 16$ cm(D)$\displaystyle 20$ cm(iv)The distance of an object from first focal point of a biconvex lens is $\displaystyle \mathrm{X}_{1}$ and distance of the image from second focal point is $\displaystyle \mathrm{X}_{2}$. The focal length of the lens is(A)$\displaystyle \mathrm{X}_{1} \mathrm{X}_{2}$(B)$\displaystyle \sqrt{\mathrm{X}_{1}+\mathrm{X}_{2}}$(C)$\displaystyle \sqrt{\mathrm{X}_{1} \mathrm{X}_{2}}$(D)$\displaystyle \sqrt{\frac{\mathrm{X}_{2}}{\mathrm{X}_{1}}}$
A thin lens is a transparent optical medium bounded by two surfaces, at least one of which should be spherical. Applying the formula for image formation by a single spherical surface successively at the two surfaces of a lens, one can obtain the 'lens maker formula' and then the 'lens formula'. A lens has two foci - called 'first focal point' and 'second focal point' of the lens, one on each side. $$
(i)
Consider the arrangement shown in figure. A black vertical arrow and a horizontal thick line with a ball are painted on a glass plate. It serves as the object. When the plate is illuminated, its real image is formed on the screen. Which of the following correctly represents the image formed on the screen?
(A)
(B)
(C)
(D)
(ii)
Which of the following statements is incorrect?
(A)
For a convex mirror magnification is always negative.
(B)
For all virtual images formed by a mirror magnification is positive.
(C)
For a concave lens magnification is always positive.
(D)
For real and inverted images, magnification is always negative.
A convex lens of focal length'$\displaystyle \mathrm{f}$'is cut into two equal parts perpendicular to the principal axis. The focal length of each part will be:
(A)
f
(B) $\displaystyle 2$ f
(C)
$\displaystyle \frac{\mathrm{f}}{2}$
(D)
$\displaystyle \frac{\mathrm{f}}{4}$
If an object in case (i) above is $\displaystyle 20$ cm from the lens and the screen is $\displaystyle 50$ cm away from the object, the focal length of the lens used is
(A)
$\displaystyle 10$ cm
(B)
$\displaystyle 12$ cm
(C)
$\displaystyle 16$ cm
(D)
$\displaystyle 20$ cm
(iv)
The distance of an object from first focal point of a biconvex lens is $\displaystyle \mathrm{X}_{1}$ and distance of the image from second focal point is $\displaystyle \mathrm{X}_{2}$. The focal length of the lens is
(A)
$\displaystyle \mathrm{X}_{1} \mathrm{X}_{2}$
(B)
$\displaystyle \sqrt{\mathrm{X}_{1}+\mathrm{X}_{2}}$
(C)
$\displaystyle \sqrt{\mathrm{X}_{1} \mathrm{X}_{2}}$
(D)
$\displaystyle \sqrt{\frac{\mathrm{X}_{2}}{\mathrm{X}_{1}}}$
Marking-scheme solution
(C)
(A)
For a convex mirror magnification is always negative
(iii)
2f
$\displaystyle 12$ cm
(C)
$\displaystyle \sqrt{X_1 X_2}$
Ray Optics and Optical InstrumentsRefraction at Spherical Surfaces and by LensesApplycase_studymedium
More from Ray Optics and Optical Instruments
- Assertion: A convex lens, when immersed in a liquid, disappears. Reason ( R ): The refractive indices of…2024 · asked 3×
- 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…2024 · asked 3×
- (i) Draw a labelled ray diagram showing the formation of the image at infinity by an astronomical telescope.…2022 · asked 3×
- (i) (1) Write two points of difference between an interference pattern and a diffraction pattern. (2) Name…2023 · asked 3×
- Two transparent media of refractive indices n 1 and n 2 are separated by a spherical transparent surface. The…2022 · asked 3×
- Write two necessary conditions for total internal reflection. Two prisms ABC and DBC are arranged as shown in…2022 · asked 3×
- (i) Define SI unit of power of a lens. (ii) A plano convex lens is made of glass of refractive index 1.5. The…2022 · asked 3×
- (i) An object is placed 30 cm from a thin convex lens of focal length 10 cm. The lens forms a sharp image on…2025 · asked 3×
CBSE Class 12 Physics past-paper question from the 2025board exam, with the answer as CBSE’s own marking scheme gives it. Where our answers come from.