A screen is placed 50 , cm from a single slit | vedclass

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

Question

(B) Given: Distance of screen $D = 50 \, cm = 0.5 \, m$,wavelength $\lambda = 6000 \, \mathring{A} = 600 	imes 10^{-9} \, m$,and distance between fir

Vedclass · Accepted Answer

$0.2 \, mm$

Vedclass · Answer

(B) Given: Distance of screen $D = 50 \, cm = 0.5 \, m$,wavelength $\lambda = 6000 \, \mathring{A} = 600 	imes 10^{-9} \, m$,and distance between first and third minima $\Delta y = 3 \, mm = 3 	imes 10^{-3} \, m$.The position of the $n^{th}$ minima in a single slit diffraction pattern is given by $y_n = \frac{n D \lambda}{a}$,where $a$ is the slit width.The distance between the first $(n=1)$ and third $(n=3)$ minima is:$\Delta y = y_3 - y_1 = \frac{3 D \lambda}{a} - \frac{1 D \lambda}{a} = \frac{2 D \lambda}{a}$.Substituting the given values:$3 	imes 10^{-3} = \frac{2 	imes 0.5 	imes 600 	imes 10^{-9}}{a}$.Solving for $a$:$a = \frac{2 	imes 0.5 	imes 600 	imes 10^{-9}}{3 	imes 10^{-3}} = \frac{600 	imes 10^{-9}}{3 	imes 10^{-3}} = 200 	imes 10^{-6} \, m = 0.2 	imes 10^{-3} \, m = 0.2 \, mm$.

$A$ screen is placed $50 \, cm$ from a single slit which is illuminated with $6000 \, \mathring{A}$. If the distance between the first and third minima in the diffraction pattern is $3 \, mm$,what is the width of the slit?

Similar Questions

When the distance of separation between the slit and screen is doubled, the angular separation between fringes in single slit diffraction pattern experiment

$A$ microwave of wavelength $2.0 \ cm$ falls normally on a slit of width $4.0 \ cm$. The angular spread of the central maxima of the diffraction pattern obtained on a screen $1.5 \ m$ away from the slit,will be: (in $^{\circ}$)

Light of wavelength $\lambda$ is incident on a single slit of width $a$ and the distance between the slit and the screen is $D$. In the diffraction pattern, if the slit width is equal to the width of the central maximum, then $D$ is equal to:

The phenomenon of diffraction occurs in .......

The condition for obtaining secondary maxima in the diffraction pattern due to a single slit is:

Vedclass Test Series

Exam Paper Generator

Online Exam Module