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The Speed of Yellow Light in a Certain Liquid is 2.4 × 108 M S−1. Find the Refractive Index of the Liquid.

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प्रश्न

The speed of yellow light in a certain liquid is 2.4 × 108 m s−1. Find the refractive index of the liquid.

योग
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उत्तर

Given

Speed of yellow light in liquid (vL)= 2⋅4 × 108 m s−1

And  speed of yellow light in air speed = va

Let μL be the refractive index of the liquid

Using,

\[\mu_L  = \frac{\text{speed of light in vaccum}}{\text{velocity of light in the given medium}} = \frac{c}{v_L}\]

\[\mu_L  = \frac{3 \times {10}^8}{\left( 2 . 4 \right) \times {10}^8} = 1 . 25\]

Hence, the required refractive index is 1.25.

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अध्याय 17: Light Waves - Exercise [पृष्ठ ३८०]

APPEARS IN

एचसी वर्मा Concepts of Physics Volume 1 and 2 [English]
अध्याय 17 Light Waves
Exercise | Q 4 | पृष्ठ ३८०

संबंधित प्रश्न

The equation of a light wave is written as \[y = A \sin\left( kx - \omega t \right).\] Here, `y` represents _______ .


An amplitude modulated (AM) radio wave bends appreciably round the corners of a 1 m × 1 m board but a frequency modulated (FM) wave only bends negligibly. If the average wavelengths of the AM and FM waves are \[\lambda_a   and   \lambda_f,\]


Which of the following properties of light conclusively support the wave theory of light?

(a) Light obeys the laws of reflection.

(b) Speed of light in water is smaller than its speed in vacuum.

(c) Light shows interference.

(d) Light shows photoelectric effect.


Three observers A, B and C measure the speed of light coming from a source to be νA, νBand νC. A moves towards the source and C moves away from the source at the same speed. B remains stationary. The surrounding space is vacuum everywhere.

(a) \[\nu_A  >  \nu_B  >  \nu_C\]

(b) \[\nu_A  <  \nu_B  <  \nu_C\]

(c) \[\nu_A  =  \nu_B  =  \nu_C\]

(d) \[\nu_B  = \frac{1}{2}\left( \nu_A + \nu_C \right)\]


The wavelength of sodium light in air is 589 nm. (a) Find its frequency in air. (b) Find its wavelength in water (refractive index = 1.33). (c) Find its frequency in water. (d) Find its speed in water.


Two narrow slits emitting light in phase are separated by a distance of 1⋅0 cm. The wavelength of the light is \[5 \cdot 0 \times  {10}^{- 7} m.\] The interference pattern is observed on a screen placed at a distance of 1.0 m. (a) Find the separation between consecutive maxima. Can you expect to distinguish between these maxima? (b) Find the separation between the sources which will give a separation of 1.0 mm between consecutive maxima.


A parallel beam of white light is incident normally on a water film 1.0 × 10−4 cm thick. Find the wavelengths in the visible range (400 nm − 700 nm) which are strongly transmitted by the film. Refractive index of water = 1.33.


Plane microwaves are incident on a long slit of width 5.0 cm. Calculate the wavelength of the microwaves if the first diffraction minimum is formed at θ = 30°.


Answer in brief:

In a double-slit arrangement, the slits are separated by a distance equal to 100 times the wavelength of the light passing through the slits.

  1. What is the angular separation in radians between the central maximum and an adjacent maximum?
  2. What is the distance between these maxima on a screen 50.0 cm from the slits?

Answer in brief:

The distance between two consecutive bright fringes in a biprism experiment using the light of wavelength 6000 Å is 0.32 mm by how much will the distance change if light of wavelength 4800 Å is used?


Choose the correct option:

In Young's double-slit experiment, a thin uniform sheet of glass is kept in front of the two slits, parallel to the screen having the slits. The resulting interference pattern will satisfy:


White light consists of wavelengths from 400 nm to 700 nm. What will be the wavelength range seen when white light is passed through a glass of refractive index 1.55?


A parallel beam of green light of wavelength 550 nm passes through a slit of width 0.4 mm. The intensity pattern of the transmitted light is seen on a screen that is 40 cm away. What is the distance between the two first-order minima?


Light follows wave nature because ______ 


The path difference between two waves meeting at a point is (11/4)λ. The phase difference between the two waves is ______


Which of the following cannot produce two coherent sources?


State any four conditions for obtaining well defined and steady interference patterns.


A ray is an imaginary line ______.


State the theories which were proposed to explain nature of light.


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