Q. No.A spherical interface lens of radius \(R\) separates two media of refractive indices \(1\) and \(1.4\) respectively as shown in the figure below. A point source is placed at a distance of \(4R\) in front of spherical interface. The magnitude of the magnification of point source image is:
1. \(1.66\)
2. \(2.33\)
3. \(2.66\)
3. \(1.33\)
1. \(1.66\)
2. \(2.33\)
3. \(2.66\)
3. \(1.33\)
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Refer the figure given below. \(\mu_1\) and \(\mu_2\) are refractive indices of air lens material. The height of image will be: (in cm)
1. \(1\)
2. \(0.5\)
3. \(1.2\)
4. \(0.25\)
1. \(1\)
2. \(0.5\)
3. \(1.2\)
4. \(0.25\)
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An object \(AB \) is placed \(15~\text{cm}\) on the left of convex lens \(P\) of focal length \(10~\text{cm}\). Another convex lens \(Q\) is now placed \(15~\text{cm}\) right of lens \(P\). If the focal length of lens \(Q\) is \(15~\text{cm}\), the final image is:
| 1. | virtual, formed at \(7.5~\text{cm}\) right of lens \(Q\), with size bigger than that of \(AB\) |
| 2. | real, formed at \(7.5~\text{cm}\) right of lens \(Q\), with a size same as that of \(AB\) |
| 3. | formed at infinity. |
| 4. | real, formed at \(7~\text{cm}\) right of lens \(Q\), with a size smaller than that of \(AB\) |
Subtopic: Refraction at Curved Surface |
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A parallel beam of light travelling in air (refractive index \(1.0\)) is incident on a convex spherical glass surface of radius of curvature \(50~\text{cm}\). Refractive index of glass is \(1.5\). The rays converge to a point at a distance \(x~\text {cm}\) from the centre of the curvature of the spherical surface. The value of \(x\) is: (in cm)
1. \(150\)
2. \(200\)
3. \(100\)
4. \(350\)
1. \(150\)
2. \(200\)
3. \(100\)
4. \(350\)
Subtopic: Refraction at Curved Surface |
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A spherical surface separates two media of refractive indices \(1\) and \(1.5\) as shown in figure. Distance of the image of an object \(O,\) is: (\(C\) is the centre of curvature of the spherical surface and \(R \) is the radius of curvature)
| 1. | \(0.24~\text m\) right to the spherical surface |
| 2. | \(0.24~\text m\) left to the spherical surface |
| 3. | \(0.4~\text m\) left to the spherical surface |
| 4. | \(0.4~\text m\) right to the spherical surface |
Subtopic: Refraction at Curved Surface |
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In a long glass tube, mixture of two liquids \(A\) and \(B\) with refractive indices \(1.3\) and \(1.4\) respectively, forms a convex refractive meniscus towards \(A.\) If an object placed at \(13 ~\text{cm}\) from the vertex of the meniscus in A forms an image with a magnification of \(-2 \) then the radius of curvature of meniscus is:
1. \(\dfrac{2}{3}~\text{cm}\)
2. \(\dfrac{4}{3}~\text{cm}\)
3. \(\dfrac{1}{3}~\text{cm}\)
4. \(1~\text{cm}\)
1. \(\dfrac{2}{3}~\text{cm}\)
2. \(\dfrac{4}{3}~\text{cm}\)
3. \(\dfrac{1}{3}~\text{cm}\)
4. \(1~\text{cm}\)
Subtopic: Refraction at Curved Surface |
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A concave mirror of focal length \(f\) in air is dipped in a liquid of refractive index \(\mu.\) Its focal length in the liquid will be:
1. \(\dfrac{f }{(\mu-1) }\)
2. \(\dfrac{f}\mu\)
3. \(f \)
4. \(\mu f \)
1. \(\dfrac{f }{(\mu-1) }\)
2. \(\dfrac{f}\mu\)
3. \(f \)
4. \(\mu f \)
Subtopic: Refraction at Curved Surface |
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A hemispherical vessel is completely filled with a liquid of refractive index \(μ\). A small coin is kept at the lowest point (O) of the vessel as shown in figure. The minimum value of the refractive index of the liquid so that a person can see the coin from point E (at the level of the vessel) is -
1. \(\dfrac{\sqrt{3}}{2}\)
2. \(\dfrac{3}{2}\)
3. \(\sqrt{3} \)
4. \(\sqrt{2} \)
1. \(\dfrac{\sqrt{3}}{2}\)
2. \(\dfrac{3}{2}\)
3. \(\sqrt{3} \)
4. \(\sqrt{2} \)
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A spherical surface of radius of curvature \(R,\) separates air from glass (refractive index = \(1.5).\) The centre of curvature is in the glass medium. A point object \(O\) placed in air on the optic axis of the surface, so that its real image is formed at \(I\) inside glass. The line \(OI\) intersects the spherical surface at \(P\) and \(PO=PI.\) The distance \(PO\) equals to
1. \(5R\)
2. \(1.5R\)
3. \(3R\)
4. \(2R\)
1. \(5R\)
2. \(1.5R\)
3. \(3R\)
4. \(2R\)
Subtopic: Refraction at Curved Surface |
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Given below are two statements :
In the light of the above statements, choose the correct answer from the options given below:
| Statement I: | When an object is placed at the centre of curvature of a concave lens, image is formed at the centre of curvature of the lens on the other side. |
| Statement II: | Concave lens always forms a virtual and erect image. |
In the light of the above statements, choose the correct answer from the options given below:
| 1. | Both Statement I and Statement II are true |
| 2. | Both Statement I and Statement II are false |
| 3. | Statement I is false but Statement II is true |
| 4. | Statement I is true, but Statement II is false. |
Subtopic: Refraction at Curved Surface |
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