In: Physics

In a double-slit experiment, light with a wavelength λ passes through a double-slit and forms an interference pattern on the screen at a distance L from the slits. What statement is true for the resulting interference pattern if the frequency of the light increases?

OPTIONS:

The distance between maxima stays the same.T

he distance between maxima increases.

The distance between maxima decreases.

Not enough information given.

Fringe width, (b)is the distance between two consecutive maximas or minima.

The expression for the fringe width is given by;

**b = kL/d ..**...........eqn 1

where k= wavelength of the light used

L= distance of the screen from the slits

d = seperation between the slits.

Also, wavelength (k) and frequency (v) are related by the expression

c= vk .........eqn 2

where c is the velocity of light

or we can rearrange the equation 2 as

k = c/v .........eqn 3

Eqn 3 indicats that k is inversely proportional to v. i.e wavelength of light is inversely prportional to the frequency.

i.e More the frequency, lesser would be the wavelength and vice versa.

**Using value of k from eqn 3 in eqn 1 , we
get**

**b = cL/vd**

**this equation clearly states that fringe width b is also
inversely proportional to frequency v of the light.**

*Hence, if we increase the frequency, fringe width
would decrease i.e distance between two consecutive maxima would
decrease.*

Light of unknown wavelength passes through a double slit,
yielding both double slit and diffraction patterns on a screen that
is 1 m away from the slits. You see that the 9th double-slit
maximum coincides with the 2nd single-slit diffraction minimum. You
also observe that the first diffraction minimum is located 3 cm
from the central axis on the screen.
(a) What is the ratio of double-slit separation to single slit
width, d/a?
(b) If d = 72 µm, what...

Light with wavelength λ is incident on a double slit with spacing
d. A pattern is observed on a screen which is far from the slits
(compared to the separation between the slits).
a.) Explain whether each of the following is correct or
not.
1.) The pattern looks like a wave with bright fringes
separated by a distance λ.
2.) The pattern looks like a wave with bright fringes
separated by distance d.
3.) The pattern looks like a wave...

In a Young's double-slit experiment the wavelength of light used
is 462 nm (in vacuum), and the separation between the slits is 2.1
× 10-6 m. Determine the angle that locates
(a) the dark fringe for which m = 0,
(b) the bright fringe for which m = 1,
(c) the dark fringe for which m = 1, and
(d) the bright fringe for which m =
2.

In a Young's double-slit experiment the wavelength of light used
is 469 nm (in vacuum), and the separation between the slits is 2.1
× 10-6 m. Determine the angle that locates
(a) the dark fringe for which m = 0,
(b) the bright fringe for which m = 1,
(c) the dark fringe for which m = 1, and
(d) the bright fringe for which m =
2.

Light with a wavelength of 616 nm passes through a slit 7.74 μm
wide and falls on a screen 1.90 m away.
Q : Find the linear distance on the screen from the central
bright fringe to the first bright fringe above it.

In procedure 2: suppose red light passes through a double slit
and falls on a screen. In the diffraction pattern, the distance
from the central maximum to the first maximum is 5 mm.
a) The distance from the first minimum (dark spot) to the second
minimum in the diffraction pattern is
between 7.5 mm and 10 mm
less than 2.5 mm
more than 10 mm
between 2.5 mm and 5 mm
exactly 2.5 mm
between 5 mm and 7.5 mm...

Blue light of wavelength 470 nm passes through an interference
grating with a slit spacing of0.001 mm and makes an interference
pattern on the wall.
How many bright fringes will be seen?

A double-slit experiment is set up using red light (λ = 711 nm).
A first order bright fringe is seen at a given location on a
screen.
1)What wavelength of visible light (between 380 nm and 750 nm)
would produce a dark fringe at the identical location on the
screen?
λ =
2) A new experiment is created with the screen at a distance of
1.9 m from the slits (with spacing 0.11 mm). What is the distance
between the...

Light from a He-Ne laser (wavelength 633nm) passes through a
single slit of width 25μm. At the screen a distance away, the
intensity at the center of the central maxima is 8.25 W/m^2.
a. Draw a clear diagram showing the slit and the intensity
pattern seen on the screen. Label key quantities and key
features.
b. Find the maximum number of totally dark fringes (minima) seen
on the screen.
c. At what angle does the dark fringe (minima) that is...

1) Upon passing monochromatic light (‘one color’ or one
wavelength) through a double-slit, a series of equally-spaced
bright fringes appears on a screen. This spacing of the fringes
depends on the wavelength of the monochromatic light, the distance
to the screen, and the spacing between these two slits.
Upon passing this same monochromatic light through this same
double-slit with the same distance to the screen, only now with the
entire apparatus completely submerged in water, does the fringe
spacing increase,...

ADVERTISEMENT

ADVERTISEMENT

Latest Questions

- I am exploiting a buffer overflow attack and need to find three pieces of information in...
- The Normal Probability distribution has many practical uses. Please provide some examples of real life data...
- Post the total amounts from the journal in the following general ledger accounts and in the...
- Calculate the pH of a 0.50 M solution of sodium benzoate (NaC6H5COO) given that the Ka...
- using Matlab only please. function sail_boat x = linspace(0,100,2*pi); for x plot(x, sin(x),'b','LineWidth',3) axis([0,2*pi+.1,-1.05,1.05]) hold on...
- based on the film Trapped, Do you think abortion restrictions might vary according to region? For...
- Route Canal Shipping Company has the following schedule for aging of accounts receivable: Age of Receivables...

ADVERTISEMENT