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In an arrangement shown in the figure, $d < < D$ , where $d$ is the distance of separation of the slits $S_{1}$ and $S_{2}$ and $D = 1 m$ is the distance between the slits and the screen. Source $S$ is emitting monochromatic light of wavelength $λ$ . Then

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Important Questions on Wave Optics

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Physics>Optics>Wave Optics>Interference Limited to Young’s Double-Slit Experiment

In Young's double-slit experiment, the distance between slits and the screen is

1 m

and monochromatic light of wavelength

600 nm

is being used. A person standing near the slits is looking at the fringe pattern. When the separation between the slits is varied, the interference pattern disappears for a particular distance

d_{0}

between the slits. If the angular resolution of the eye is

\frac{1}{60} °

, then the value of

d_{0}

is close to

EASY

Physics>Optics>Wave Optics>Interference Limited to Young’s Double-Slit Experiment

Young's double slit experiment is first performed in air and then in a medium other than air. It is found that

8^{t h}

bright fringe in the medium lies where

5^{t h}

dark fringe lies in air. The refractive index of the medium is nearly

MEDIUM

Physics>Optics>Wave Optics>Interference Limited to Young’s Double-Slit Experiment

In Young’s double-slit experiment, the distance between the two identical slits is

6.1

times larger than the slit width. Then the number of intensity maxima observed within the central maximum of the single-slit diffraction pattern is :

HARD

Physics>Optics>Wave Optics>Interference Limited to Young’s Double-Slit Experiment

Consider a Young's double slit experiment as shown in figure. What should be the slit separation

d

in terms of wavelength

λ

such that the first minima occurs directly in front of the slit

(S_{1})

HARD

Physics>Optics>Wave Optics>Interference Limited to Young’s Double-Slit Experiment

Electrons accelerated from rest by an electrostatic potential are collimated and sent through a Young's double slit experiment. The fringe width is

ω .

If the accelerating potential is doubled, then the width is now close to:

EASY

Physics>Optics>Wave Optics>Interference Limited to Young’s Double-Slit Experiment

In a double slit experiment, when light of wavelength

400 n m

was used, the angular width of the first minima formed on a screen placed

1 m

away was found to be

0.2 ° .

What will be the angular width of the first minima, if the entire experimental apparatus is immersed in water?

(μ_{w a t e r} = \frac{4}{3})

MEDIUM

Physics>Optics>Wave Optics>Interference Limited to Young’s Double-Slit Experiment

Using monochromatic light of wavelength $λ$ , an experimentalist sets up the Young's double slit experiment in three ways as shown.
If she observes that $y = β^{'}$ , the wavelength of light used is :

Question Image

HARD

Physics>Optics>Wave Optics>Interference Limited to Young’s Double-Slit Experiment

In a Young’s double slit experiment, the separation between the slits is

0.15 m m

. In the experiment, a source of light of wavelength

589 n m

is used and the interference pattern is observed on a screen kept

1.5 m

away. The separation between the successive bright fringes on the screen is:

HARD

Physics>Optics>Wave Optics>Interference Limited to Young’s Double-Slit Experiment

In a Young's double slit experiment, slits are separated by

0.5 mm

, and the screen is placed

150 cm

away. A beam of light consisting of two wavelengths,

650 nm

and

520 nm

, is used to obtain interference fringes on the screen. The least distance from the common central maximum to the point where the bright fringes due to both the wavelengths coincide is:

MEDIUM

Physics>Optics>Wave Optics>Interference Limited to Young’s Double-Slit Experiment

In Young's double-slit experiment, in an interference pattern, the second minimum is observed exactly in front of one slit. The distance between the slits is

d

and the distance between source and screen is

D

. The wavelength of the light source used is

HARD

Physics>Optics>Wave Optics>Interference Limited to Young’s Double-Slit Experiment

In a Young's double slit experiment

15

fringes are observed on a small portion of the screen when light of wavelength

500 n m

is used. Ten fringes are observed on the same section of the screen when another light source of wavelength

λ

is used. Find the value of

λ

(in

n m

) .

MEDIUM

Physics>Optics>Wave Optics>Interference Limited to Young’s Double-Slit Experiment

In a double-slit experiment, the two slits are

1 mm

apart and the screen is placed

1 m

away. A monochromatic light of wavelength

500 nm

is used. What will be the width of each slit for obtaining ten maxima of double-slit within the central maxima of a single-slit pattern?

HARD

Physics>Optics>Wave Optics>Interference Limited to Young’s Double-Slit Experiment

In a Young's double slit experiment, the slit separation

d

0.3 m m

and the screen distance

D

1 m .

A parallel beam of light of wavelength

600 n m

is incident on the slits at angle

α

as shown in figure. On the screen, the point

O

is equidistant from the slits and distance

P O

11.0 m m .

Which of the following statement(s) is/are correct?

Question Image

HARD

Physics>Optics>Wave Optics>Interference Limited to Young’s Double-Slit Experiment

A light source, which emits two wavelengths

λ_{1} = 400 n m

and

λ_{2} = 600 n m

, is used in a Young's double slit experiment. If recorded fringe widths for

λ_{1}

and

λ_{2}

are

β_{1}

and

β_{2}

and the number of fringes for them within a distance y on one side of the central maximum are

m_{1}

and

m_{2}

, respectively, then

MEDIUM

Physics>Optics>Wave Optics>Interference Limited to Young’s Double-Slit Experiment

In a double – slit experiment, at a certain point on the screen the path difference between the two interfering waves is

\frac{1}{8} t h

of a wavelength. The ratio of the intensity of light at that point to that at the center of a bright fringe is:

EASY

Physics>Optics>Wave Optics>Interference Limited to Young’s Double-Slit Experiment

Angular width of the first minimum on either side of the central maximum due to a single slit of width

a

, illuminated by a light of wave length

λ

MEDIUM

Physics>Optics>Wave Optics>Interference Limited to Young’s Double-Slit Experiment

In Young's double slit experiment using monochromatic light of wavelength

λ

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

λ

K

units. The intensity of light at a point where path difference is

\frac{λ}{3}

HARD

Physics>Optics>Wave Optics>Interference Limited to Young’s Double-Slit Experiment

In the Young's double slit experiment using a monochromatic light of wavelength

λ

, the path difference ( in terms of an integer

n

) corresponding to any point having half the peak intensity is

MEDIUM

Physics>Optics>Wave Optics>Interference Limited to Young’s Double-Slit Experiment

The distance between two coherent sources is

1 mm

. The screen is placed at a distance of

1 m

from the sources. If the distance of the third bright fringe is

1.2 mm

from the central fringe, the wavelength of light used is

HARD

Physics>Optics>Wave Optics>Interference Limited to Young’s Double-Slit Experiment

While conducting the Young's double slit experiment, a student replaced the two slits with a large opaque plate in the

x - y

plane containing two small holes that act as two coherent point sources

(S_{1}, S_{2})

emitting light of wavelength

600 nm

. The student mistakenly placed the screen parallel to the

x - z

plane (for

z > 0

) at a distance

D = 3 m

from the mid-point of

(S_{1}, S_{2})

, as shown schematically in the figure. The distance between the sources

d = 0.6003 mm

. The origin

O

is at the intersection of the screen and the line joining

(S_{1}, S_{2})

. Which of the following is (are) true of the intensity pattern on the screen?
Question Image

In an arrangement shown in the figure, d<<D, where d is the distance of separation of the slits S1 and S2 and D=1 m is the distance between the slits and the screen. Source S is emitting monochromatic light of wavelength λ. Then

Important Questions on Wave Optics

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In an arrangement shown in the figure, $d < < D$ , where $d$ is the distance of separation of the slits $S_{1}$ and $S_{2}$ and $D = 1 m$ is the distance between the slits and the screen. Source $S$ is emitting monochromatic light of wavelength $λ$ . Then