law of refraction and total internal reflection questions with solutions

Showing 1–10 of 10 questions

• MCQeasyGeometrical opticslaw of refraction and total internal reflection

  The wavelength of light, while it is passing through water is 540 nm. The refractive index of water is 4/3. The wavelength of the same light when it is passing through a transparent medium having refractive index of 3/2 is _________nm.

  Options

  • Option A

    380

  • Option B

    840

  • Option C

    480

  • Option D

    540

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• MCQmediumGeometrical opticslaw of refraction and total internal reflection

  A coin is at the bottom of a hemispherical container filled with a liquid of re$fractive$ index μ. From the geometry shown in the original figure, the limiting ray reaches the rim with incidence angle 45°. Find the least μ for which the coin is visible to the observer E.

  

  Options

  • Option A

    √3

  • Option B

    √2

  • Option C

    √3/2

  • Option D

    3√2

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• MCQeasyGeometrical opticslaw of refraction and total internal reflection

  Critical angle of incidence for a pair of optical media is 45°. The refractive indices of first and second media are in the ratio:

  Options

  • Option A

    √2 : 1

  • Option B

    1 : 2

  • Option C

    1 : √2

  • Option D

    2 : 1

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  JEE Mains 2024 08 Apr Morning Shift

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• MCQmediumGeometrical opticslaw of refraction and total internal reflection

  A transparent block of refractive index 1.25 is surrounded by a medium of refractive index 1.0. A ray is incident on a vertical face as shown in the original figure. The maximum incidence angle θ for which the ray undergoes total internal reflection at the top surface is:

  

  Options

  • Option A

    tan⁻¹(4/3)

  • Option B

    tan⁻¹($\frac{3}{4}$)

  • Option C

    sin⁻¹($\frac{3}{4}$)

  • Option D

    cos⁻¹($\frac{3}{4}$)

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• MCQeasyGeometrical opticslaw of refraction and total internal reflection

  The critical angle for a denser-rarer interface is 45°. The speed of light in the rarer medium is 3 × 10⁸ m s⁻¹. The speed in the denser medium is:

  Options

  • Option A

    2.12 × 10⁸ m s⁻¹

  • Option B

    5 × 10⁷ m s⁻¹

  • Option C

    3.12 × 10⁷ m s⁻¹

  • Option D

    √2 × 10⁸ m s⁻¹

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• MCQmediumGeometrical opticslaw of refraction and total internal reflection

  A light ray in medium 1 of refractive index 1 travels toward a horizontal interface along the vector AO = 2î-3ĵ. It refracts into medium 2 of refractive index 1.5 and emerges along OB = Cî-4ĵ, as shown in the figure. What is C?

  

  Options

  • Option A

    1.6

  • Option B

    0.16

  • Option C

    11.6

  • Option D

    16

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• MCQmediumGeometrical opticslaw of refraction and total internal reflection

  Consider light travelling from a medium A to medium B separated by a plane interface. If the light undergoes total internal reflection during its travel from medium A to B and the speed of light in media A and B are 2.4 × 10⁸ m/s and 2.7 × 10⁸ m/s respectively, then the value of critical angle is :

  Options

  • Option A

    cot⁻¹(3/√13)

  • Option B

    sin⁻¹(9/8)

  • Option C

    tan⁻¹(8/√17)

  • Option D

    cos⁻¹(8/9)

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• MCQeasyGeometrical opticslaw of refraction and total internal reflection

  A monochromatic light of frequency 5×10¹⁴ Hz travelling through air is incident on a medium of refractive index 2. The wavelength of the refracted light is:

  Options

  • Option A

    300 nm

  • Option B

    500 nm

  • Option C

    400 nm

  • Option D

    600 nm

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• MCQeasyGeometrical opticslaw of refraction and total internal reflection

  Assertion (A): The refractive index of glass is greater than that of air. Reason (R): Optical density is directly proportional to mass density, which causes a proportional refractive index. Choose the correct answer.

  Options

  • Option A

    A is false but R is true

  • Option B

    Both A and R are true and R explains A

  • Option C

    A is true but R is false

  • Option D

    Both A and R are true but R does not explain A

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• MCQeasyGeometrical opticslaw of refraction and total internal reflection

  The electric field of an electromagnetic wave travelling through a medium is given by

  $\vec{E}$(x,t) = 25 sin(2.0 × 10¹⁵t - 10⁷x) n̂

  then the refractive index of the medium is ______.

  (All given measurements are in SI units)

  Options

  • Option A

    1.2

  • Option B

    2

  • Option C

    1.5

  • Option D

    1.7

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