A beaker of radius r is filled with water refractive index 4 3 up to a height H as shown in the figure on the left. The beaker is kept on a horizontal table rotating with angular speed ω . This makes the water surface curved so that the difference in the height of water level at the centre and at the circumference of the beaker is h h ≪ H , h ≪ r , as shown in the figure on the right. Take this surface to be approximately spherical with a radius of curvature R . Which of the following is/are correct? ( g is the acceleration due to gravity)

Apparent depth of the bottom of the beaker is close to 3 H 4 1 + ω 2 H 4 g - 1

Apparent depth of the bottom of the beaker is close to 3 H 2 1 + ω 2 H 2 g - 1

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A mirror is inclined at an angle of $θ$ with the horizontal. If a ray of light is incident at an angle $θ$ as shown, then the angle made by the reflected ray with the horizontal is

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Important Questions on Ray Optics

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Physics Crash Course JEE Advanced>Chapter 17 - Ray Optics>Exercise 1>Q 6

How will you arrange the two plane mirrors so that whatever may be the angle of incidence, the incident ray and the reflected ray from the two mirrors will be parallel to each other?

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Physics Crash Course JEE Advanced>Chapter 17 - Ray Optics>Exercise 1>Q 7

An object and a concave mirror are approaching each other with velocities

10 m/s

and

5 m/s

as shown in figure. The velocity of image of object at the instant shown in figure is

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Physics Crash Course JEE Advanced>Chapter 17 - Ray Optics>Exercise 1>Q 8

In the figure shown, find the total magnification after two successive reflections first on $M_{1}$ and then on $M_{2}$ .

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Physics Crash Course JEE Advanced>Chapter 17 - Ray Optics>Exercise 1>Q 9

A beaker containing liquid is placed on a table, underneath a microscope which can be moved along a vertical scale. The microscope is focused, through the liquid onto a mark on the table when the reading on the scale is

a

It is next focused on the upper surface of the liquid and the reading is

b

. More liquid is added and the observations are repeated, the corresponding readings are

c

and

d

. The refractive index of the liquid is -

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Physics Crash Course JEE Advanced>Chapter 17 - Ray Optics>Exercise 1>Q 10

A monochromatic beam of width $t$ is incident at $45 °$ on an air-water surface. The refractive index of water is $μ$ . The width of the beam in water is,

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Physics Crash Course JEE Advanced>Chapter 17 - Ray Optics>Exercise 1>Q 11

A light ray travelling in a glass medium is incident on a glass-air interface at an angle of incidence

θ

. The reflected (

R

) and transmitted (

T

) intensities, both as function of

θ

, are plotted. The correct representation in the figure is:

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Physics Crash Course JEE Advanced>Chapter 17 - Ray Optics>Exercise 1>Q 12

A short linear object $O$ is placed on the principal axis of convex mirror of focal length $f$ as shown in the figure. The ratio of transverse magnification to longitudinal magnification is :

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Physics Crash Course JEE Advanced>Chapter 17 - Ray Optics>Exercise 1>Q 13

A ray of light falls on the surface of a spherical glass paper weight, making an angle

α

with the normal and is refracted in the medium at an angle

β

. The angle of deviation of the emergent ray from the direction of the incident ray is

A mirror is inclined at an angle of θ with the horizontal. If a ray of light is incident at an angle θ as shown, then the angle made by the reflected ray with the horizontal is

Important Questions on Ray Optics

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A mirror is inclined at an angle of $θ$ with the horizontal. If a ray of light is incident at an angle $θ$ as shown, then the angle made by the reflected ray with the horizontal is