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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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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Important Questions on Ray Optics

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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

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Physics Crash Course JEE Advanced>Chapter 17 - Ray Optics>Exercise 1>Q 14

Critical angle of glass is

θ_{1}

and that of water is

θ_{2}

. The critical angle for water and glass surface would be

(μ_{g} = \frac{3}{2}, μ_{w} = \frac{4}{3})

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Physics Crash Course JEE Advanced>Chapter 17 - Ray Optics>Exercise 1>Q 15

If the refractive indices of water and that of glass with respect to air are

4 / 3

and

3 / 2

, respectively, then the refractive index of glass with respect to water is,

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

Important Questions on Ray Optics

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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