HARD

Earn 100

A ray of light travelling along a vector $2 \hat{i} + 4 \hat{j} + \sqrt{5} \hat{k}$ hits a boundary of two mediums, along $x - y$ plane. If the angle of refraction of the light is $90 °$ , then what is the refractive index of the second medium? Given: refractive indice of the first medium $μ_{1} = \sqrt{3}$ .

50% studentsanswered this correctly

Important Questions on Refraction of Light at Plane Surfaces

EASY

Science>Physics>Refraction of Light at Plane Surfaces>Total Internal Reflection and Critical Angle

Pick the wrong answer in the context with rainbow.

MEDIUM

Science>Physics>Refraction of Light at Plane Surfaces>Total Internal Reflection and Critical Angle

A diver looking up through the water sees the outside world contained in a circular horizon. The refractive index of water is

\frac{4}{3}

, and the diver's eyes are

15 cm

below the surface of the water. Then the radius of the circle is :

HARD

Science>Physics>Refraction of Light at Plane Surfaces>Total Internal Reflection and Critical Angle

A point source S is placed at the bottom of a transparent block of height 10 mm and refractive index 2.72. It is immersed in a lower refractive index liquid as shown in the figure. It is found that the light emerging from the block to the liquid forms a circular bright spot of diameter 11.54 mm on the top of the block. The refractive index of the liquid is

Question Image

MEDIUM

Science>Physics>Refraction of Light at Plane Surfaces>Total Internal Reflection and Critical Angle

In figure, the optical fiber is

l = 2 m

long and has a diameter of

d = 20 μ m .

If a ray of light is incident on one end of the fiber at angle

θ_{1} = 40 °

, the number of reflections it makes before emerging from the other end is close to:
(refractive index of fiber is

1.31

s i n 40 ° = 0.64

and

\sin^{- 1} 0.49 = 30 °

MEDIUM

Science>Physics>Refraction of Light at Plane Surfaces>Total Internal Reflection and Critical Angle

A ray of light incident on a transparent sphere at an angle

\frac{π}{4}

and refracted at an angle

r

, emerges from the sphere after suffering one internal reflection. The total angle of deviation of the ray is

HARD

Science>Physics>Refraction of Light at Plane Surfaces>Total Internal Reflection and Critical Angle

A transparent cube of side

d

, made of a material of refractive index

μ_{2}

, is immersed in a liquid of refractive index

μ_{1} (μ_{1} < μ_{2})

. A ray is incident on the face

A B

at an angle

θ

(shown in the figure). Total internal reflection takes place at the point

E

on the face

B C .

Then,

θ

must satisfy

MEDIUM

Science>Physics>Refraction of Light at Plane Surfaces>Total Internal Reflection and Critical Angle

A ray of light is incident from a denser to a rarer medium. The critical angle for total internal reflection is

θ_{iC}

and Brewster's angle of incidence is

θ_{iB}

, such that

\frac{sin θ_{iC}}{sin θ_{iB}} = η = 1.28

. The relative refractive index of the two media is

MEDIUM

Science>Physics>Refraction of Light at Plane Surfaces>Total Internal Reflection and Critical Angle

If the critical angle for total internal reflection from a medium to vacuum is

45 °,

then velocity of light in the medium is,

HARD

Science>Physics>Refraction of Light at Plane Surfaces>Total Internal Reflection and Critical Angle

A ray of light incident parallel to the base

P Q

of an isosceles right - angled triangular prism

P Q R

suffers two successive total internal reflections at the face

P Q

and

Q R

before emerging reversed in direction as shown.
Question Image

If the refractive index of the prism is

μ

, then

EASY

Science>Physics>Refraction of Light at Plane Surfaces>Total Internal Reflection and Critical Angle

A ray of light originates from inside a glass slab and is incident on its inner surface at an angle $θ$ as shown,

Question Image

In this experiment the location $x$ of the spot where they ray hits the screen is recorded. Which of the following correctly shown the plot of variation of $x$ with the angle $θ$ ?

Question Image

MEDIUM

Science>Physics>Refraction of Light at Plane Surfaces>Total Internal Reflection and Critical Angle

The critical angle for light going from medium

x

to medium

y

θ

. The speed of light in medium

x

v_{x}

. The speed of light in medium

y

MEDIUM

Science>Physics>Refraction of Light at Plane Surfaces>Total Internal Reflection and Critical Angle

A green light is incident from the water to the air - water interface at the critical angle

(θ_{c})

. Select the correct statement.

MEDIUM

Science>Physics>Refraction of Light at Plane Surfaces>Total Internal Reflection and Critical Angle

The critical angle of a medium for a specific wavelength, if the medium has relative permittivity

3

and relative permeability

\frac{4}{3}

for this wavelength, will be:

EASY

Science>Physics>Refraction of Light at Plane Surfaces>Total Internal Reflection and Critical Angle

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 angle of refraction?

EASY

Science>Physics>Refraction of Light at Plane Surfaces>Total Internal Reflection and Critical Angle

There is a small source of light at some depth below the surface of water (refractive index

= \frac{4}{3}

) in a tank of large cross sectional surface area. Neglecting any reflection from the bottom and absorption by water, percentage of light that emerges out of surface is (nearly):
[Use the fact that surface area of a spherical cap of height

h

and radius of curvature

r

2 π r h

]

EASY

Science>Physics>Refraction of Light at Plane Surfaces>Total Internal Reflection and Critical Angle

A $45 ° - 90 °$ prism as shown in the figure is immersed in water. A ray of light is incident normally on one of its shorter faces. The minimum index of refraction that the prism must have if this ray is to be totally reflected within the glass at the long face of the glass is (Assume refractive index of water $n_{water} = 1.3$ )

Question Image

MEDIUM

Science>Physics>Refraction of Light at Plane Surfaces>Total Internal Reflection and Critical Angle

The critical angle for glass is

41 ° 48^{'}

and that for water is

48 ° 36^{^{'}} .

Calculate the critical angle for glass-water interface.

HARD

Science>Physics>Refraction of Light at Plane Surfaces>Total Internal Reflection and Critical Angle

A ray of light incident on a glass sphere (refractive index

\sqrt{3}

) suffer total internal reflection before emerging out exactly parallel to the incident ray. The angle of incidence was

HARD

Science>Physics>Refraction of Light at Plane Surfaces>Total Internal Reflection and Critical Angle

An isosceles glass prism with base angles

40 °

is champed over a tray of water in a position such that the base is just dipped in water. A ray of light incident normally on the inclined face suffers total internal reflection at the base. If the refractive index of water is

1.33

then the condition imposed on the refractive index,

μ

of the glass is-

HARD

Science>Physics>Refraction of Light at Plane Surfaces>Total Internal Reflection and Critical Angle

A beam of light consisting of red, green and blue colours is incident on a right-angled prism. The refractive index of the material of the prism for the above red, green and blue wavelengths are

1.39

1.44

and

1.47

respectively.

Question Image

The prism will:

A ray of light travelling along a vector 2i^+4j^+5k^ hits a boundary of two mediums, along x-y plane. If the angle of refraction of the light is 90°, then what is the refractive index of the second medium? Given: refractive indice of the first medium μ1=3.

Important Questions on Refraction of Light at Plane Surfaces

Learn and Prepare for any exam you want !