# In total internal reflection when the angle of incidence is equal to the critical angle for the pair of media in contact, what will be the angle of refraction? 1. 90$°$ 2. 180$°$ 3. 0$°$ 4. equal to the angle of incidence

Subtopic:  Total Internal Reflection |
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Two similar thin equi-convex lenses, of focal length f each, are kept coaxially in contact with each other such that the focal length of the combination is ${F}_{1}$. When the space between the two lenses is filled with glycerin which has the same refractive index as that of glass ($\mu =1.5$), then the equivalent focal length is ${F}_{2}$. The ratio ${F}_{1}:{F}_{2}$ will be:

1. 3: 4

2. 2: 1

3. 1: 2

4. 2: 3

Subtopic:  Lens Makers' Formula |
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Pick the wrong statement in the context with a rainbow.

1. Rainbow is a combined effect of dispersion, refraction, and reflection of sunlight.

2. When the light rays undergo two internal reflections in a water drop, a secondary rainbow is formed.

3.  The order of colours is reversed in the secondary rainbow.

4. An observer can see a rainbow when his front is towards the sun.

Subtopic:  Reflection at Plane Surface |
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A biconvex lens has power P. It is cut into two symmetrical halves by a plane containing the principal axis. The power of one part will be :

1. 0

2. $\frac{P}{2}$

3. $\frac{P}{4}$

4. P

Subtopic:  Lenses |
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A double convex lens has a focal length of 25 cm. The radius of curvature of one of the surfaces is double of the other. Find the radii if the refractive index of the material of the lens is 1.5.

1. 100 cm, 50 cm

2. 25 cm, 50 cm

3. 18.75 cm, 37.5 cm

4. 50 cm, 100 cm

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 convex lens A of focal length 20 cm and a concave lens B of focal length 5 cm are kept along the same axis with the distance d between them. If a parallel beam of light falling on A leaves B as a parallel beam, then distance d in cm will be

(1) 25

(2) 15

(3) 30

(4) 50

Subtopic:  Lenses |
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A plane-convex lens of unknown material and unknown focal length is given. With the help of a spherometer, we can measure the,

 1 focal length of the lens. 2 radius of curvature of the curved surface. 3 aperture of the lens. 4 refractive index of the material.

Subtopic:  Lenses |
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An object is placed on the principal axis of a concave mirror at a distance of 1.5f ( f is the focal length). The image will be at:

1.  -3f

2. 1.5f

3. -1.5f

4.  3f

Subtopic:  Reflection at Spherical Surface |
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If the critical angle for total internal reflection from a medium to vacuum is $45°$, the velocity of light in the medium is:
1. $$1.5\times10^{8}$$ m/s
2. $$\frac{3}{\sqrt{2}}\times10^{8}$$ m/s
3. $$\sqrt{2}\times10^{8}$$ m/s
4. $$3\times10^{8}$$ m/s

Subtopic:  Total Internal Reflection |
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