What happens to the fringe width in Young's d | vedclass

Name: Exam Paper Generator | JEE NEET Paper Generator | Vedclass
Brand: Vedclass
Rating: 5 (35 reviews)

Question

(A) The formula for fringe width in Young's double-slit experiment is given by $\beta = \frac{D \lambda}{d}$,where $D$ is the distance between the scr

Vedclass · Accepted Answer

shrinks

Vedclass · Answer

(A) The formula for fringe width in Young's double-slit experiment is given by $\beta = \frac{D \lambda}{d}$,where $D$ is the distance between the screen and the slits,$\lambda$ is the wavelength of light,and $d$ is the distance between the slits.When the experiment is performed in a medium like glycerine with refractive index $\mu$,the wavelength of light changes to $\lambda^{\prime} = \frac{\lambda}{\mu}$.Substituting this into the fringe width formula,the new fringe width $\beta^{\prime}$ becomes $\beta^{\prime} = \frac{D \lambda^{\prime}}{d} = \frac{D \lambda}{\mu d} = \frac{\beta}{\mu}$.Since the refractive index of glycerine $\mu > 1$,it follows that $\beta^{\prime} Therefore,the fringe width decreases or shrinks.

What happens to the fringe width in Young's double-slit experiment if it is performed in glycerine instead of air?

Similar Questions

$A$ double slit experiment is immersed in water of refractive index $1.33$. The slit separation is $1 \,mm$, and the distance between the slit and the screen is $1.33 \,m$. The slits are illuminated by light of wavelength $6300 \,Å$. The fringe width is:

In Young's double slit experiment,how many maximas can be obtained on a screen (including the central maximum) on both sides of the central fringe if $\lambda = 2000\,{\mathring A}$ and $d = 7000\,{\mathring A}$?

In a Young's double slit experiment,the path difference,at a certain point on the screen,between two interfering waves is $1/8^{th}$ of the wavelength. The ratio of the intensity at this point to that at the centre of a bright fringe is close to:

In a Young's double-slit interference experiment,a monochromatic beam of light is used to form fringes on a screen. When a thin mica sheet is placed in the path of one of the interfering beams,then...

$A$ beam of electrons is used in a $YDSE$ experiment. The slit width is $d$. When the velocity of the electrons is increased,then

Vedclass Test Series

Exam Paper Generator

Online Exam Module