A single slit diffraction pattern is formed w | vedclass

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

Question

(B) The condition for the $n^{	ext{th}}$ secondary maximum in a single slit diffraction pattern is given by: $a \sin 	heta = (n + \frac{1}{2}) \lamb

Vedclass · Accepted Answer

$\frac{7 \lambda}{9}$

Vedclass · Answer

(B) The condition for the $n^{	ext{th}}$ secondary maximum in a single slit diffraction pattern is given by: $a \sin 	heta = (n + \frac{1}{2}) \lambda'$,where $n$ is the order of the secondary maximum.For the $4^{	ext{th}}$ secondary maximum of wavelength $\lambda_1$,the condition is: $a \sin 	heta_1 = (4 + \frac{1}{2}) \lambda_1 = \frac{9}{2} \lambda_1$.For the $3^{	ext{rd}}$ secondary maximum of wavelength $\lambda$,the condition is: $a \sin 	heta_2 = (3 + \frac{1}{2}) \lambda = \frac{7}{2} \lambda$.Since the maxima coincide,$	heta_1 = 	heta_2$,so $a \sin 	heta_1 = a \sin 	heta_2$.Equating the two expressions: $\frac{9}{2} \lambda_1 = \frac{7}{2} \lambda$.Solving for $\lambda_1$: $\lambda_1 = \frac{7}{9} \lambda$.

$A$ single slit diffraction pattern is formed with white light. For what wavelength of light the $4^{\text{th}}$ secondary maximum in the diffraction pattern coincides with the $3^{\text{rd}}$ secondary maximum in the pattern of light of wavelength $\lambda$?

Similar Questions

$A$ narrow slit of width $2 \ mm$ is illuminated with a monochromatic light of wavelength $500 \ nm$. If the distance between the slit and the screen is $1 \ m$,then the first minima are separated by a distance of: (in $mm$)

In a single slit diffraction pattern, the wavelength of light used is $628 \text{ nm}$ and slit width is $0.2 \text{ mm}$. The angular width of the central maximum is $\alpha \times 10^{-2} \text{ degrees}$. The value of $\alpha$ is . . . . . . . (Take $\pi = 3.14$)

$A$ parallel beam of monochromatic light falls normally on a single narrow slit. The angular width of the central maximum in the resulting diffraction pattern

$A$ light ray of wavelength $\lambda$ is passing through a pinhole of diameter $D$ and the effect is observed on a screen placed at a distance $L$ from the pinhole. The approximations of geometrical optics are applicable, if

Vedclass Test Series

Exam Paper Generator

Online Exam Module