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2022 19 questions

Q592022 · 29 Jul 2022 · Shift 1· Numerical answer
The X-Y plane be taken as the boundary between two transparent media $M_{1}$ and $M_{2}$ . $M_{1}$ in $Z \geq 0$ has a refractive index of $2$ and $M_{2}$ with $Z < 0$ has a refractive index of $3$ . A ray of light travelling in $M_{1}$ along the direction given by the vector $P = 43 \hat{i} - 33 \hat{j} - 5 \hat{k}$ , is incident on the plane of separation. The value of difference between the angle of incidence in $M_{1}$ and the angle of refraction in $M_{2}$ will be ____ degree.
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Answer: 15
Q482022 · 29 Jul 2022 · Shift 2
Light enters from air into a given medium at an angle of $4 5^{\circ}$ with interface of the air-medium surface. After refraction, the light ray is deviated through an angle of $1 5^{\circ}$ from its original direction. The refractive index of the medium is:
1. A. $1.732$
2. B. $1.333$
3. C. $1.414$
4. D. $2.732$
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Answer: C
Q452022 · 28 Jul 2022 · Shift 1
In normal adjustment, for a refracting telescope, the distance between objective and eye piece is $30 cm$ . The focal length of the objective, when the angular magnification of the telescope is $2$ , will be :
1. A. $20 cm$
2. B. $30 cm$
3. C. $10 cm$
4. D. $15 cm$
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Answer: A
Q462022 · 28 Jul 2022 · Shift 2
The power of a lens (biconvex) is $1.25 m^{- 1}$ in particular medium. Refractive index of the lens is 1.5 and radii of curvature are $20 cm$ and $40 cm$ respectively. The refractive index of surrounding medium:
1. A.1.0
2. B. $\frac{9}{7}$
3. C. $\frac{3}{2}$
4. D. $\frac{4}{3}$
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Answer: B
Q582022 · 28 Jul 2022 · Shift 2· Numerical answer
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Answer: 400
Q592022 · 28 Jul 2022 · Shift 2· Numerical answer
In an experiment with a convex lens, The plot of the image distance ( $v^{'}$ ) against the object distance ( $μ^{'}$ ) measured from the focus gives a curve $v^{'} μ^{'} = 225$ . If all the distances are measured in cm. The magnitude of the focal length of the lens is _________ cm.
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Answer: 15
Q442022 · 27 Jul 2022 · Shift 1
A microscope was initially placed in air (refractive index 1). It is then immersed in oil (refractive index 2). For a light whose wavelength in air is $λ$ , calculate the change of microscope's resolving power due to oil and choose the correct option.
1. A.Resolving power will be $\frac{1}{4}$ in the oil than it was in the air.
2. B.Resolving power will be twice in the oil than it was in the air.
3. C.Resolving power will be four times in the oil than it was in the air.
4. D.Resolving power will be $\frac{1}{2}$ in the oil than it was in the air.
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Answer: B
Q532022 · 27 Jul 2022 · Shift 2· Numerical answer
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Answer: 4
Q572022 · 26 Jul 2022 · Shift 1· Numerical answer
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Answer: 10
Q372022 · 25 Jul 2022 · Shift 2
For an object placed at a distance 2.4 m from a lens, a sharp focused image is observed on a screen placed at a distance 12 cm from the lens. A glass plate of refractive index 1.5 and thickness 1 cm is introduced between lens and screen such that the glass plate plane faces parallel to the screen. By what distance should the object be shifted so that a sharp focused image is observed again on the screen?
1. A.0.8 m
2. B.3.2 m
3. C.1.2 m
4. D.5.6 m
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Answer: B
Q572022 · 25 Jul 2022 · Shift 2· Numerical answer
A convex lens of focal length 20 cm is placed in front of a convex mirror with principal axis coinciding each other. The distance between the lens and mirror is 10 cm. A point object is placed on principal axis at a distance of 60 cm from the convex lens. The image formed by combination coincides the object itself. The focal length of the convex mirror is ____________ cm.
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Answer: 10
Q562022 · 30 Jun 2022 · Shift 1· Numerical answer
The refractive index of an equilateral prism is $2$ . The angle of emergence under minimum deviation position of prism, in degree, is ___________.
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Answer: 45
Q462022 · 27 Jun 2022 · Shift 1
Consider a light ray travelling in air is incident into a medium of refractive index $2 n$ . The incident angle is twice that of refracting angle. Then, the angle of incidence will be :
1. A. $sin^{- 1} (n)$
2. B. $cos^{- 1} (\frac{n}{2})$
3. C. $sin^{- 1} (2 n)$
4. D. $2 cos^{- 1} (\frac{n}{2})$
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Answer: D
Q462022 · 27 Jun 2022 · Shift 2
1. A.Power of $L_{1} = \frac{P}{2}$
2. B.Power of $L_{2} = \frac{P}{2}$
3. C.Power of $L_{3} = \frac{P}{2}$
4. D.Power of $L_{1} = P$
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Answer: A
Q472022 · 27 Jun 2022 · Shift 2
If a wave gets refracted into a denser medium, then which of the following is true?
1. A.wavelength, speed and frequency decreases.
2. B.wavelength increases, speed decreases and frequency remains constant.
3. C.wavelength and speed decreases but frequency remains constant.
4. D.wavelength, speed and frequency increases.
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Answer: C
Q562022 · 26 Jun 2022 · Shift 1· Numerical answer
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Answer: 210
Q572022 · 26 Jun 2022 · Shift 2· Numerical answer
A small bulb is placed at the bottom of a tank containing water to a depth of $7 m$ . The refractive index of water is $\frac{4}{3}$ . The area of the surface of water through which light from the bulb can emerge out is $x π m^{2}$ . The value of x is ________.
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Answer: 9
Q472022 · 25 Jun 2022 · Shift 1
The difference of speed of light in the two media A and B $(v_{A} - v_{B})$ is $2.6 \times 1 0^{7} m/s$ . If the refractive index of medium B is $1.47$ , then the ratio of refractive index of medium B to medium A is : (Given : speed of light in vacuum $c = 3 \times 1 0^{8} ms^{- 1}$ )
1. A. $1.303$
2. B. $1.318$
3. C. $1.13$
4. D. $0.12$
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Answer: C
Q542022 · 24 Jun 2022 · Shift 2· Numerical answer
A ray of light is incident at an angle of incidence $6 0^{\circ}$ on the glass slab of refractive index $3$ . After refraction, the light ray emerges out from other parallel faces and lateral shift between incident ray and emergent ray is $43 cm$ . The thickness of the glass slab is ____ $cm$ .
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Answer: 12