In a certain region of the screen, the number | vedclass

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

Question

(B) The width of a certain region on the screen is $L$. The fringe width $\beta$ is given by $\beta = \frac{\lambda D}{d}$, where $\lambda$ is the wav

Vedclass · Accepted Answer

$12$

Vedclass · Answer

(B) The width of a certain region on the screen is $L$. The fringe width $\beta$ is given by $\beta = \frac{\lambda D}{d}$, where $\lambda$ is the wavelength, $D$ is the distance between the slits and the screen, and $d$ is the distance between the slits.The number of fringes $n$ in a region of width $L$ is given by $n = \frac{L}{\beta} = \frac{Ld}{\lambda D}$.Since $L, d,$ and $D$ are constant, we have $n \propto \frac{1}{\lambda}$, which implies $n_1 \lambda_1 = n_2 \lambda_2$.Given $n_1 = 8$, $\lambda_1 = 6600 	ext{ Å}$, and $\lambda_2 = 4400 	ext{ Å}$.Substituting the values: $8 	imes 6600 = n_2 	imes 4400$.$n_2 = \frac{8 	imes 6600}{4400} = \frac{8 	imes 66}{44} = \frac{8 	imes 3}{2} = 12$.Therefore, the number of fringes observed is $12$.

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:

Similar Questions

In $Y.D.S.E.$ using red and blue lights of wavelengths $7800 \, \mathring{A}$ and $5200 \, \mathring{A}$,the $n^{th}$ red fringe coincides with the $(n + 1)^{th}$ blue fringe. The value of $n$ is:

In Young's double slit experiment,when two light waves form the third minimum,they have:

When a thin metal plate is placed in the path of one of the interfering beams of light in a Young's double-slit experiment,what happens to the interference pattern?

$A$ 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,which of the following phenomena occur?

Vedclass Test Series

Exam Paper Generator

Online Exam Module