In a single slit diffraction experiment, a pa | vedclass

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

Question

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

Vedclass · Accepted Answer

$275$

Vedclass · Answer

(C) For a single slit diffraction experiment, the condition for the $n^{th}$ order minima is given by $a \sin 	heta = n \lambda$.For small angles, $\sin 	heta \approx 	an 	heta = \frac{y}{D}$.Thus, the distance of the $n^{th}$ minima from the central maximum is $y_n = \frac{n \lambda D}{a}$.Given: $\lambda = 550 \,nm = 550 	imes 10^{-9} \,m$, $a = 0.20 \,mm = 0.20 	imes 10^{-3} \,m$, $D = 100 \,cm = 1.0 \,m$, and $n = 1$.Substituting these values:$y_1 = \frac{1 	imes 550 	imes 10^{-9} 	imes 1.0}{0.20 	imes 10^{-3}} \,m$$y_1 = \frac{550}{0.20} 	imes 10^{-6} \,m$$y_1 = 2750 	imes 10^{-6} \,m = 275 	imes 10^{-5} \,m$.Comparing this with $x 	imes 10^{-5} \,m$, we get $x = 275$.

Similar Questions

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

The main difference in the phenomenon of interference and diffraction in light waves is that

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:

$A$ parallel beam of fast-moving electrons is incident normally on a narrow slit. $A$ screen is placed at a large distance from the slit. If the speed of the electrons is increased,which of the following statements is $CORRECT$?

Radio waves diffract around buildings,although light waves do not. The reason is that radio waves

Vedclass Test Series

Exam Paper Generator

Online Exam Module