In a double slit experiment,the distance betw | vedclass

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

Question

(C) Let $\lambda$ be the wavelength of monochromatic light,$d$ be the distance between the coherent sources,and $D$ be the distance between the screen

Vedclass · Accepted Answer

Becomes $1/20$ times

Vedclass · Answer

(C) Let $\lambda$ be the wavelength of monochromatic light,$d$ be the distance between the coherent sources,and $D$ be the distance between the screen and the source. The fringe width $\beta$ is given by:$\beta = \frac{D \lambda}{d}$Given the initial conditions: $d_1 = d$ and $D_1 = D$. The initial fringe width is $\beta_1 = \frac{D \lambda}{d}$.Given the new conditions: $d_2 = 10d$ and $D_2 = \frac{D}{2}$.The new fringe width $\beta_2$ is:$\beta_2 = \frac{D_2 \lambda}{d_2} = \frac{(\frac{D}{2}) \lambda}{10d} = \frac{D \lambda}{20d}$Comparing the new fringe width with the initial one:$\beta_2 = \frac{1}{20} \left( \frac{D \lambda}{d} \right) = \frac{\beta_1}{20}$Thus,the fringe width becomes $1/20$ times the original fringe width.

In a double slit experiment,the distance between slits is increased $10$ times whereas their distance from the screen is halved,then what is the fringe width?

Similar Questions

Who was the first to study the phenomenon of interference of light?

In a Young's double-slit experiment,light of wavelength $5890 \ \mathring A$ is used,and the angular fringe width on the screen is $0.20^\circ$. If the entire apparatus is immersed in water,find the new angular fringe width. (Refractive index of water $\mu = 4/3$) (in $^\circ$)

If the slit widths of $YDSE$ are in the ratio $1:4$,then the ratio of maximum to minimum intensity on the screen is: (in $:1$)

How is the interference pattern affected when violet light replaces sodium light?

$A$ fringe width of $6 \ mm$ was produced for two slits separated by $1 \ mm$ apart. The screen is placed $10 \ m$ away. The wavelength of light used is $'x' \ nm$. The value of $'x'$ to the nearest integer is

Vedclass Test Series

Exam Paper Generator

Online Exam Module