Consider a Young's double slit experiment as | vedclass

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

Question

(A) For the first minima to occur at point $P$ (directly in front of $S_1$),the path difference between the waves from $S_1$ and $S_2$ must be equal t

Vedclass · Accepted Answer

$\frac{\lambda}{2(\sqrt{5}-2)}$

Vedclass · Answer

(A) For the first minima to occur at point $P$ (directly in front of $S_1$),the path difference between the waves from $S_1$ and $S_2$ must be equal to $\frac{\lambda}{2}$.The distance from $S_1$ to $P$ is $2d$.The distance from $S_2$ to $P$ is $\sqrt{(2d)^2 + d^2} = \sqrt{4d^2 + d^2} = \sqrt{5}d$.The path difference $\Delta x = S_2P - S_1P = \sqrt{5}d - 2d = d(\sqrt{5} - 2)$.Setting the path difference equal to $\frac{\lambda}{2}$ for the first minima:$d(\sqrt{5} - 2) = \frac{\lambda}{2}$Therefore,the slit separation $d$ is:$d = \frac{\lambda}{2(\sqrt{5} - 2)}$

Consider a Young's double slit experiment as shown in the figure. What should be the slit separation $d$ in terms of wavelength $\lambda$ such that the first minima occurs directly in front of the slit $S_1$?

Similar Questions

$A$ graph is plotted between the fringe-width $(z)$ and the distance $(D)$ between the slit and the eye-piece,keeping other parameters constant. Which of the following graphs is correct?

In Young’s double slit experiment, how many maxima can be seen on a screen (including the central maxima) if $d = \frac{5\lambda}{2}$ (where $\lambda$ is the wavelength of light and $d$ is the distance between the two slits)?

In $Y.D.S.E.$,how many maxima can be obtained on the screen if the wavelength of light used is $200 \ nm$ and $d = 700 \ nm$?

In Young's double-slit experiment, if white light is used instead of monochromatic light, then...

In a certain region of the screen, the number of fringes formed is observed to be $8$ in Young's double slit experiment when light of wavelength $6600 \text{ Å}$ is used. If light of wavelength $4400 \text{ Å}$ is used, the number of fringes observed in the same region of the screen will be:

Vedclass Test Series

Exam Paper Generator

Online Exam Module