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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How much water should be filled in a container $21 cm$ in height, so that it appears half filled when viewed from the top of the container?

[given that, ${}_{a}μ_{w} = \frac{4}{3}$ ]

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Important Questions on Ray Optics

MEDIUM

Physics

IMPORTANT

Physics Crash Course JEE Advanced>Chapter 17 - Ray Optics>Exercise 1>Q 33

The refractive index of the material of a prism is

\sqrt{2}

and the angle of the prism is

30 °

. One of the two refracting surfaces of the prism is made a mirror inwards, by a silver coating. A beam of monochromatic light entering the prism from the other face will retrace its path (after reflection from the silvered surface) if its angle of incidence on the prism is:

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Physics Crash Course JEE Advanced>Chapter 17 - Ray Optics>Exercise 1>Q 34

A fish looking up through the water sees the outside world contained in circular horizon. If the refractive index of water is

\frac{4}{3}

and the fish is

12 c m

below the surface, what is the radius of this circle (in

cm

HARD

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Physics Crash Course JEE Advanced>Chapter 17 - Ray Optics>Exercise 1>Q 35

Consider a glass cube slab of dielectric bound by the planes,

x = 0, x = a; y = 0, y = b; z = 0, z = c

with

b > a > c

. The slab is placed in air and has a refractive index of

n

. The minimum value of

n

such that all rays entering the dielectric at

y = 0

reach

y = b

is,

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Physics Crash Course JEE Advanced>Chapter 17 - Ray Optics>Exercise 1>Q 36

White light is incident on the interface of glass and air as shown in the figure. If green light is just totally internally reflected then the emerging ray air contains.
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Physics

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Physics Crash Course JEE Advanced>Chapter 17 - Ray Optics>Exercise 1>Q 37

A rod of glass $(μ = 1.5)$ and of the square cross-section is bent into the shape as shown in the figure. A parallel beam of light falls on the plane flat surface $A$ as shown in the figure. If $d$ is the width of a side and $R$ is the radius of a circular arc, then for what maximum value of $\frac{d}{R}$ light entering the glass slab through surface $A$ emerges from the glass through $B$ ?

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Physics Crash Course JEE Advanced>Chapter 17 - Ray Optics>Exercise 1>Q 38

A light wave travels from glass to water. The refractive index for glass and water are

\frac{3}{2}

and

\frac{4}{3}

, respectively. The value of the critical angle will be

EASY

Physics

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Physics Crash Course JEE Advanced>Chapter 17 - Ray Optics>Exercise 1>Q 39

A ray of light travelling in a transparent medium of refractive index

μ

, falls on a surface separating the medium from air at an angle of incidence of

45 °

. For which of the following value of

μ

the ray can undergo total internal reflection?

MEDIUM

Physics

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Physics Crash Course JEE Advanced>Chapter 17 - Ray Optics>Exercise 1>Q 40

If light travels a distance

x

in time

t_{1}

in air and

10 x

distance in time

t_{2}

in a certain medium, then find the critical angle for total internal reflection, of the medium.

How much water should be filled in a container 21 cm in height, so that it appears half filled when viewed from the top of the container? [given that, μwa=43]

Important Questions on Ray Optics

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How much water should be filled in a container $21 cm$ in height, so that it appears half filled when viewed from the top of the container?

[given that, ${}_{a}μ_{w} = \frac{4}{3}$ ]