In a single slit diffraction pattern, the dis | vedclass

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

Question

(C) The distance between the first minima on both sides of the central maximum in a single slit diffraction pattern is given by the formula: $\Delta y

Vedclass · Accepted Answer

$0.192$

Vedclass · Answer

(C) The distance between the first minima on both sides of the central maximum in a single slit diffraction pattern is given by the formula: $\Delta y = \frac{2 \lambda D}{a}$Given:Distance between first minima $\Delta y = 5 \,mm = 5 	imes 10^{-3} \,m$Distance of screen $D = 80 \,cm = 0.8 \,m$Wavelength $\lambda = 6000 \mathring{A} = 6000 	imes 10^{-10} \,m = 6 	imes 10^{-7} \,m$Substituting the values into the formula:$5 	imes 10^{-3} = \frac{2 	imes (6 	imes 10^{-7}) 	imes 0.8}{a}$Rearranging for the slit width $a$:$a = \frac{2 	imes 6 	imes 10^{-7} 	imes 0.8}{5 	imes 10^{-3}}$$a = \frac{9.6 	imes 10^{-7}}{5 	imes 10^{-3}}$$a = 1.92 	imes 10^{-4} \,m = 0.192 	imes 10^{-3} \,m$$a = 0.192 \,mm$

Similar Questions

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 $D=$

Light of wavelength $6000 \ \mathring{A}$ is incident on a slit. The width of the slit is $0.30 \ mm$. A screen is placed at a distance of $2 \ m$ from the slit. Find the width of the central maximum in $mm$.

The phenomenon of diffraction was discovered by ...... .

When the distance between the slit and the screen is doubled,what happens to the angular separation between the fringes in a slit diffraction experiment?

Light of wavelength $\lambda$ is incident on a slit of width $d$. The resulting diffraction pattern is observed on a screen at a distance $D$. The linear width of the principal maximum is then equal to the width of the slit if $D$ equals

Vedclass Test Series

Exam Paper Generator

Online Exam Module