# When a biconvex lens of glass having a refractive index of 1.47 is dipped in a liquid, it acts as a plane sheet of glass. The liquid must have a refractive index: 1. equal to that of glass. 2. less than one. 3. greater than that of glass. 4. less than that of glass.

Subtopic:  Lens Makers' Formula |
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A ray of light is incident at an angle of incidence, i, on one face of a prism of angle A (assumed to be small) and emerges normally from the opposite face. If the refractive index of the prism is $\mu$, the angle of incidence i, is nearly equal to

1. $\mu$A

2. $\frac{\mu A}{2}$

3. $A/\mu$

4. $A/2\mu$

Subtopic:  Prisms |
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A concave mirror of the focal length ${f}_{1}$ is placed at a distance of d from a convex lens of focal length ${f}_{2}$. A beam of light coming from infinity and falling on this convex lens-concave mirror combination returns to infinity. The distance d must be equal to:

1. ${f}_{1}+{f}_{2}$

2. $-{f}_{1}+{f}_{2}$

3. $2{f}_{1}+{f}_{2}$

4. $-2{f}_{1}+{f}_{2}$

Subtopic:  Reflection at Spherical Surface |
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The magnifying power of a telescope is 9. When it is adjusted for parallel rays the distance between the objective and eyepiece is 20 cm. The focal length of the lenses is :

1. 10 cm, 10 cm

2. 15 cm, 5 cm

3. 18 cm, 2 cm

4. 11 cm, 9 cm

Subtopic:  Telescope |
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A biconvex lens $\left(\mathrm{\mu }=1.5\right)$ has a radius of curvature of magnitude 20 cm. Which one of the following options, best describes, the image formed of an object of height 2 cm placed 30 cm from the lens?

1.  Virtual, upright, height = 0.5 cm

2.  Real, inverted, height = 4 cm

3.  Real, inverted, height = 1 cm

4.  Virtual, upright, height = 1 cm

Subtopic:  Lenses | Lens Makers' Formula | Refraction at Curved Surface |
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Which of the following is not due to total internal reflection?

1.  Difference between apparent and real depth of the pond

2.  Mirage on hot summer days

3.  Brilliance of the diamond

4.  Working of optical fibre

Subtopic:  Total Internal Reflection |
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A ray of light travelling in a transparent medium of refractive index $\mu$ falls on a surface separating the medium from the air at an angle of incidence of 45 °. For which of the following value of $\mu$, the ray can undergo total internal reflection?

1. $\mu =1.33$

2. $\mu =1.40$

3. $\mu =1.50$

4. $\mu =1.25$

Subtopic:  Total Internal Reflection |
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A lens having focal length f and aperture of diameter d forms an image of intensity I . An aperture of diameter $\frac{d}{2}$ in central region of lens is covered by a black paper. The focal length of lens and intensity of the image now will be respectively:

1. f and $\frac{I}{4}$

2.

3. f and $\frac{3I}{4}$

4.

Subtopic:  Lenses |
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Two thin lenses of focal lengths f1 and f2 are in contact and coaxial. The power of the combination is :

1.  $\sqrt{\frac{{\mathrm{f}}_{1}}{{\mathrm{f}}_{2}}}$

2.  $\sqrt{\frac{{\mathrm{f}}_{2}}{{\mathrm{f}}_{1}}}$

3.  $\frac{{\mathrm{f}}_{1}+{\mathrm{f}}_{2}}{{\mathrm{f}}_{1}{\mathrm{f}}_{2}}$

4.  None of the above

Subtopic:  Lenses |
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A boy is trying to start a fire by focusing sunlight on a piece of paper using an equiconvex lens of focal length 10 cm. The diameter of the sun is 1.39 x109 m and its mean distance from the earth is 1.5 x 1011 m. What is the diameter of the sun's image on the paper?

1.

2.

3.

4.

Subtopic:  Lenses |
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