In a Fraunhofer diffraction experiment, a sin | vedclass

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

Question

(D) The condition for the $n^{th}$ order minima in a single slit diffraction is given by $a \sin 	heta = n \lambda$. For small angles, $\sin 	heta \

Vedclass · Accepted Answer

$1.2$

Vedclass · Answer

(D) The condition for the $n^{th}$ order minima in a single slit diffraction is given by $a \sin 	heta = n \lambda$. For small angles, $\sin 	heta \approx 	heta = \frac{y}{D}$.Thus, the position of the $n^{th}$ minima is $y_n = \frac{n \lambda D}{a}$.The linear separation between the first order minima on either side of the central maxima is the width of the central maxima, which is given by $w = y_1 - (-y_1) = 2y_1 = \frac{2 \lambda D}{a}$.Given: $a = 0.5 ~mm = 0.5 	imes 10^{-3} ~m$, $\lambda = 600 ~nm = 600 	imes 10^{-9} ~m$, and $D = 50 ~cm = 0.5 ~m$.Substituting the values: $w = \frac{2 	imes 600 	imes 10^{-9} 	imes 0.5}{0.5 	imes 10^{-3}} = 1200 	imes 10^{-6} ~m = 1.2 ~mm$.

In a Fraunhofer diffraction experiment, a single slit of width $0.5 ~mm$ is illuminated by a monochromatic light of wavelength $600 ~nm$. The diffraction pattern is observed on a screen at a distance of $50 ~cm$ from the slit. What will be the linear separation of the first order minima (in $~mm$)?

Similar Questions

For a light of wavelength $5000 \, \mathring{A}$ incident normally on a slit,the first diffraction minimum is formed at an angle of $\theta = 30^\circ$. The width of the slit is:

In a Fraunhofer's diffraction obtained by a single slit aperture,the value of path difference for $n^{th}$ order of minima is

Light of wavelength $589.3 \, nm$ is incident normally on a slit of width $0.1 \, mm$. What will be the angular width of the central diffraction maximum in degrees?

The angular deviation of the $5^{th}$ order dark fringe is $12^{\circ}$ in a single slit experiment. If the width of the slit is $9 \mu m$, then the wavelength of the incident light is: (in $Å$)

$A$ diffraction pattern is obtained by using a beam of red light. What will happen if the red light is replaced by blue light?

Vedclass Test Series

Exam Paper Generator

Online Exam Module