According to the Snell's law if an electromagnetic wave is incident in a medium (refractive index n₁) on another medium (refractive index m₂);

Choose the correct relation for a combination of two prisms to be achromatic. (Where for the first prism: μv = refractive index of the medium in violet light, μr = refractive index of the medium in red light A = angle of the prism; For the second prism: μ′v = refractive index of the medium in violet light, μ′r = refractive index of the medium in red light, A’ = angle of prism.)

A

(μ_v – μ_r) A = (μ′_v - μ′_r) A′

B

(μ_v + μ_r) A = (μ′_v + μ′_r) A′

C

(μ_v – μ_r) A’ = (μ′_v - μ′_r) A

D

(μ_v + μ_r) A’ = (μ′_v + μ′_r) A

According to the Snell's law if an electromagnetic wave is incident in a medium (refractive index n₁) on another medium (refractive index n₂);

A

The angle of incidence is equal to the angle of refraction

B

The angle of refraction ($$\theta {\text{r}}$$) is given by $$\sin {\theta _2} = \frac{{{{\text{n}}_1}}}{{{{\text{n}}_2}}}\sin {\theta _{\text{i}}}$$

C

Both (A) and (B)

D

Neither (A) nor (B)

There are two medium L1 and L2 of refractive index n1 and n2 respectively (n2 > n1 > 1). In which of the following condition the total internal reflection may occur: a) When the light travel from medium L1 to medium L2. b) When the light travels from medium L2 to medium L1. c) When the light travel from medium L1 to air. d) When the light travels from air to medium L2. Which of the following statement is correct?

A

Only b is correct

B

b and c are correct.

C

Only c is correct

D

a and d are correct.

"An Electromagnetic wave falls on to a boundary between two losses less homogeneous media with different refractive indices, a part of the wave is reflected back to the incident medium and the rest is transmitted on to the second media". This phenomenon is known as:

A

Fresnel reflection

B

Fresnel refraction

C

Snell's law

D

None of these

A ray of light travels from a medium of refractive index m1 to a medium of refractive index m2. If “i” and “r” are the angle of incidence and refraction, then what is sin(i)/sin(r)?

A

m1

B

m2

C

m12

D

m21

For a critical angle of 60 degree and the refractive index of the first medium is 1.732, the refractive index of the second medium is

A

1

B

1.5

C

2

D

1.66

A plane electromagnetic wave of frequency ω is incident normally on an air-dielectric interface. The dielectric is linear, isotropic, non-magnetic and its refractive index is n. The reflectance (R) and transmittance (T) from the interface are

A

$$R = {\left( {\frac{{n - 1}}{{n + 1}}} \right)^2},\,T = \frac{{4n}}{{{{\left( {n + 1} \right)}^2}}}$$

B

$$R = - \left( {\frac{{n - 1}}{{n + 1}}} \right),\,T = \frac{2}{{{{\left( {n + 1} \right)}^2}}}$$

C

$$R = {\left( {\frac{{n - 1}}{{n + 1}}} \right)^3},\,T = \frac{{4{n^3}}}{{{{\left( {n + 1} \right)}^3}}}$$

D

$$R = \frac{{{{\left( {n - 1} \right)}^2}}}{{n + 1}},\,T = \frac{{4{n^2}}}{{{{\left( {n + 1} \right)}^2}}}$$

The chapter in Class V NCERT EVS textbook titled, ‘Sunita in Space’ describes astronaut Sunita Williams’ experiences in a spaceship. What could be the reason/reasons for including this? A. This incident gives a peep into the life of an astronaut. B. This incident describes physical conditions in a spaceship. C. This incident challenges gender stereotypes. D. This incident helps in explaining the concept of gravity.

A

Only D

B

A, B, and C

C

A, B, C and D

D

Only A

For each of the rays A and B in medium 1 and medium 2, which ray will undergo total internal reflection if the incident angle is increased gradually provided, the index of refraction is greater in medium 1 than medium 2?

A

Ray A

B

Ray B

C

Both A and B

D

None

Which one of the following statements is/are incorrect regarding waves? (A) wave height is not indicator of wave energy (B) wave height is controlled by wind strength (C) the distance of open water a wave travels over affects the wave height (D) the depth of the sea is important factors affecting wave height Choose the most appropriate answer from the options given below:

A

(A) only

B

(A) and (B) only

C

(C) only

D

(C) and (D) only

According to the Snell's law if an electromagnetic wave is incident in a medium (refractive index n₁) on another medium (refractive index m₂);

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