The angular separation of the central maximum | vedclass

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

Question

(C) The angular width of the central maximum in a Fraunhofer diffraction pattern is given by the formula: $	heta = \frac{2 \lambda}{a}$,where $\lambd

Vedclass · Accepted Answer

$4800$

Vedclass · Answer

(C) The angular width of the central maximum in a Fraunhofer diffraction pattern is given by the formula: $	heta = \frac{2 \lambda}{a}$,where $\lambda$ is the wavelength of light and $a$ is the slit width.From this relation,we can see that $	heta \propto \lambda$.Let the initial wavelength be $\lambda_1 = 6000 Å$ and the initial angular width be $	heta_1$.When the wavelength is changed to $\lambda_2$,the angular width becomes $	heta_2 = 	heta_1 - 0.20 	heta_1 = 0.80 	heta_1$.Using the proportionality $\frac{	heta_2}{	heta_1} = \frac{\lambda_2}{\lambda_1}$,we get:$\frac{0.80 	heta_1}{	heta_1} = \frac{\lambda_2}{6000 Å}$$0.80 = \frac{\lambda_2}{6000 Å}$$\lambda_2 = 0.80 	imes 6000 Å = 4800 Å$.

The angular separation of the central maximum in the Fraunhofer diffraction pattern is measured. The slit is illuminated by light of wavelength $6000 Å$. If the slit is illuminated by light of another wavelength,the angular separation decreases by $20 \%$. The wavelength of light used is (in $Å$)

Similar Questions

The diagrams below show the intensity distribution in diffraction of light of two sources. In which of the following cases the sources are just resolved?

Fraunhofer lines are produced by

In Fraunhofer diffraction,draw the graph of the intensity of light on the screen versus the diffraction angle $\theta$ and write its characteristics.

For what distance is ray optics a good approximation when the aperture is $3\; mm$ wide and the wavelength is $500\; nm$?

What will be the angle of diffraction for the first minimum due to Fraunhofer diffraction with a source of light of wavelength $550 \,nm$ and a slit of width $0.55 \,mm$ (in $,rad$)?

Vedclass Test Series

Exam Paper Generator

Online Exam Module