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Physics Part-II

Wave Optics

In Youngs double-slit experiment using monochromatic light of

Physics Part-II

Class 12

NCERT

Chapter 1: Ray Optics and Optical Instruments

41 questions

Chapter 2: Wave Optics

30 questions

In a Youngs double-slit experiment, the slits are separated by 0.28 mm and the screen is placed 1.4 m away. The distance between the central bright fringe and the fourth bright fringe is measured to be 1.2 cm. Detere the wavelength of light used in the experiment.

In Youngs double-slit experiment using monochromatic light of wavelength

λ

, the intensity of light at a point on the screen where path difference is

λ

, is K units. What is the intensity of light at a point where path difference is

λ

/3?

A beam of light consisting of two wavelengths,

650 nm

and

520 nm

, is used to obtain interference fringes in a Young's double-slit experiment.(a) Find the distance of the third bright fringe on the screen from the central maximum for wavelength

650 nm

.(b) What is the least distance from the central maximum where the bright fringes due to both the wavelengths coincide? The distance between the two slits is

0.28 mm

and the screen is at a distance of

1.4 m

from the slits.

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Solving time: 4 mins

In Youngs double-slit experiment using monochromatic light of wavelength $λ$ , the intensity of light at a point on the screen where path difference is $λ$ , is K units. What is the intensity of light at a point where path difference is $λ$ /3?

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Updated on: Feb 17, 2024

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Physics Part-II (NCERT)

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Chloe Discussed

In Youngs double-slit experiment using monochromatic light of wavelength

λ

, the intensity of light at a point on the screen where path difference is

λ

, is K units. What is the intensity of light at a point where path difference is

λ

/3?

13 mins ago

Discuss this question LIVE

13 mins ago

Text solutionVerified

For monochromatic light,

I_{1} + I_{2}

is the intensity.

I^{^{'}} = I_{1} + I_{2} + 2 I_{1} I_{2} cos θ

Phase difference is given by:

ϕ = 2 π \times \frac{p a t h d i ff ere n ce}{λ}

ϕ = 2 π \times \frac{λ}{λ}

= 2 π

So, the new intensity can be obtained as:

\Rightarrow I^{^{'}} = 4 I_{1}

given

I^{^{'}} = K, I_{1} = K /4, p a t h d i ff ere n ce = λ /3

phase difference is

2 π \times 1/3

Hence,

I = I_{1} + I_{2} + 2 I_{1} I_{2} cos 2 π /3

\Rightarrow I = I_{1} = K /4

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Practice more questions from Physics Part-II (NCERT)

In Youngs double-slit experiment using monochromatic light of wavelength

λ

, the intensity of light at a point on the screen where path difference is

λ

, is K units. What is the intensity of light at a point where path difference is

λ

/3?

A beam of light consisting of two wavelengths,

650 nm

and

520 nm

, is used to obtain interference fringes in a Young's double-slit experiment.(a) Find the distance of the third bright fringe on the screen from the central maximum for wavelength

650 nm

.(b) What is the least distance from the central maximum where the bright fringes due to both the wavelengths coincide? The distance between the two slits is

0.28 mm

and the screen is at a distance of

1.4 m

from the slits.

View all

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Question Text	In Youngs double-slit experiment using monochromatic light of wavelength $λ$ , the intensity of light at a point on the screen where path difference is $λ$ , is K units. What is the intensity of light at a point where path difference is $λ$ /3?
Updated On	Feb 17, 2024
Topic	Wave Optics
Subject	Physics
Class	Class 12
Answer Type	Text solution:1 Video solution: 15
Upvotes	1424
Avg. Video Duration	5 min

In Youngs double-slit experiment using monochromatic light of wavelength $λ$ , the intensity of light at a point on the screen where path difference is $λ$ , is K units. What is the intensity of light at a point where path difference is $λ$ /3?

Text solutionVerified

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In Youngs double-slit experiment using monochromatic light of wavelength λ, the intensity of light at a point on the screen where path difference is λ, is K units. What is the intensity of light at a point where path difference is λ/3?

Text solutionVerified

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In Youngs double-slit experiment using monochromatic light of wavelength $λ$ , the intensity of light at a point on the screen where path difference is $λ$ , is K units. What is the intensity of light at a point where path difference is $λ$ /3?