Answer the following by appropriately matching the lists based on the information given in the paragraph. List - I List - II (I) μ 2 = 2 , μ 1 = 1 , object distance u = − 10 cm (P) v = − 40 cm (II) μ 2 = 2 , μ 1 = 1 , object distance u = − 20 cm (Q) v = − 10 cm (III) μ 2 = 1 , μ 1 = 2 , object distance u = − 40 cm (R) v = 40 cm (IV) μ 2 = 1 , μ 1 = 2 , object distance u = − 60 cm (S) v = ∞ (T) v = − 12 cm

Use v μ 2 − u μ 1 = R μ 2 − μ 1 with R = + 20 cm. (I) v 2 = 20 1 − 10 1 gives v = − 40 cm (P); (II) v 2 = 20 1 − 20 1 = 0 gives v = ∞ (S). (III) v 1 = − 20 1 − 40 2 gives v = − 10 cm (Q); (IV) v 1 = − 20 1 − 60 2 gives v = − 12 cm (T). I → P; II → S; III → Q; IV → T - option (B).

Physics - Geometrical Optics Question with Solution | TestHub

PhysicsGeometrical OpticsRefraction at curved surface/LensMedium2 minQB

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Passage / Comprehension

A spherical interface whose radius is $R = 20$ cm separates the two media, I and II as shown in the figure. The refractive index of medium I is $μ_{1}$ and that of medium II is $μ_{2}$ . [Consider the pole 'O' as the origin and principal axis as the X-axis]

Answer the following by appropriately matching the lists based on the information given in the paragraph.

List - I	List - II
(I) $μ_{2} = 2, μ_{1} = 1$ , object distance $u = - 10 cm$	(P) $v = - 40 cm$
(II) $μ_{2} = 2, μ_{1} = 1$ , object distance $u = - 20 cm$	(Q) $v = - 10 cm$
(III) $μ_{2} = 1, μ_{1} = 2$ , object distance $u = - 40 cm$	(R) $v = 40 cm$
(IV) $μ_{2} = 1, μ_{1} = 2$ , object distance $u = - 60 cm$	(S) $v = \infty$
	(T) $v = - 12 cm$

Options:

Answer:

Solution:

Use $\frac{μ _{2}}{v} - \frac{μ _{1}}{u} = \frac{μ _{2} - μ _{1}}{R}$ with $R = + 20$ cm.

(I) $\frac{2}{v} = \frac{1}{20} - \frac{1}{10}$ gives $v = - 40$ cm (P); (II) $\frac{2}{v} = \frac{1}{20} - \frac{1}{20} = 0$ gives $v = \infty$ (S).

(III) $\frac{1}{v} = - \frac{1}{20} - \frac{2}{40}$ gives $v = - 10$ cm (Q); (IV) $\frac{1}{v} = - \frac{1}{20} - \frac{2}{60}$ gives $v = - 12$ cm (T).

I → P; II → S; III → Q; IV → T - option (B).

Stream:JEESubject:PhysicsTopic:Geometrical OpticsSubtopic:Refraction at curved surface/Lens

⏱ 2mℹ️ Source: QB

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