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In a YDSE experiment, I₀ is given to be the intensity of the central bright fringe and $β$  is the fringe width. Then, at a distance y from central bright fringe, the intensity will be -

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Important Questions on Wave Optics

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Physics>Optics>Wave Optics>Interference of Light Waves and Young's Experiment

The interference pattern is obtained with two coherent light sources of intensity ratio,

n

. In the interference pattern, the ratio,

\frac{I_{\max} - I_{\min}}{I_{\max} + I_{\min}}

will be

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Physics>Optics>Wave Optics>Interference of Light Waves and Young's Experiment

A parallel beam of light is incident on a tank filled with water up to a height of $61.5 mm$ as shown in the figure below. Ultrasonic waves of frequency $0.5 MHz$ are sent along the length of the water column using a transducer placed at the top, and they form longitudinal standing waves in the water. Which of the schematic plots below best describes the intensity distribution of the light as seen on the screen? Take the speed of sound in water to be $1, 500 m s^{- 1}$ .
Question Image

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Physics>Optics>Wave Optics>Interference of Light Waves and Young's 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 of Light Waves and Young's 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:

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Physics>Optics>Wave Optics>Interference of Light Waves and Young's Experiment

The intensity at the maximum in a Young's double slit experiment is

I_{0}

. Distance between two slits is

d = 5 λ

, where

λ

is the wavelength of light used in the experiment. What will be the intensity in front of one of the slits on the screen placed at a distance

D = 10 d

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Physics>Optics>Wave Optics>Interference of Light Waves and Young's Experiment

A monochromatic light source

S

of wavelength

440 nm

is placed slightly above a plane mirror

M

as shown below. Image of

S

M

can be used as a virtual source to produce interference fringes on the screen. The distance of source

S

from

O

20.0 cm

and the distance of screen, from

O

100.0 cm

(the figure is not to scale). If the angle

θ = 0.50 \times 10^{- 3}

radians, then the width of the interference fringes observed on the screen is:
Question Image

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Physics>Optics>Wave Optics>Interference of Light Waves and Young's 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 of Light Waves and Young's Experiment

A beam of mono-energetic electrons, which have been accelerated from rest by a potential

U

, is used to form an interference pattern in a Young's double slit experiment. The electrons are now accelerated by potential

4 U

. Then, the fringe width,

EASY

Physics>Optics>Wave Optics>Interference of Light Waves and Young's Experiment

In Young's double slit experiment the separation

d

between the slits is

2 mm,

the wavelength

λ

of the light used is

5896 Å

and distance

D

between the screen and slits is

100 cm.

It is found that the angular width of the fringes is

0.20 °

. To increase the fringe angular width to

{0.21}^{o}

(with same

λ and D

) the separation between the slits needs to be changed to

HARD

Physics>Optics>Wave Optics>Interference of Light Waves and Young's 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})

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Physics>Optics>Wave Optics>Interference of Light Waves and Young's 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

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Physics>Optics>Wave Optics>Interference of Light Waves and Young's Experiment

In Young's double slit experiment, the two slits are illuminated by light of wavelength

5890

Å

and the angular distance between the fringes obtained on the screen is

{0.2}^{o}

. If the whole apparatus is immersed in water then the angular fringe width will be, if the refractive index of water is

\frac{4}{3}

HARD

Physics>Optics>Wave Optics>Interference of Light Waves and Young's 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

HARD

Physics>Optics>Wave Optics>Interference of Light Waves and Young's 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 of Light Waves and Young's 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

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Physics>Optics>Wave Optics>Interference of Light Waves and Young's 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 :

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Physics>Optics>Wave Optics>Interference of Light Waves and Young's 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

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Physics>Optics>Wave Optics>Interference of Light Waves and Young's Experiment

In a Young's double slit experiment slit separation

0.1 m m,

one observes a bright fringe at angle

\frac{1}{40} r a d

by using light of wavelength

λ_{1} .

When the light of wavelength

λ_{2}

is used a bright fringe is seen at the same angle in the same set up. Given that

λ_{1}

and

λ_{2}

are in visible range

(380 n m t o 740 n m),

their values are:

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Physics>Optics>Wave Optics>Interference of Light Waves and Young's Experiment

Two coherent sources produce waves of different intensities which interfere. After interference, the ratio of the maximum intensity to the minimum intensity is

16 .

The intensity of the waves are in the ratio:

EASY

Physics>Optics>Wave Optics>Interference of Light Waves and Young's Experiment

Two light waves of intensities

I_{1}

and

I_{2}

having same frequency pass through the same medium at a time in the same direction and interfere. The sum of the minimum and maximum intensities is

In a YDSE experiment, I0 is given to be the intensity of the central bright fringe and β  is the fringe width. Then, at a distance y from central bright fringe, the intensity will be -

Important Questions on Wave Optics

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In a YDSE experiment, I₀ is given to be the intensity of the central bright fringe and $β$  is the fringe width. Then, at a distance y from central bright fringe, the intensity will be -