In a single slit diffraction with $λ = 500 n m$ and a lens of diameter 0.1 mm, width of central maxima, obtain on screen at a distance of 1 m will be

5 m m

No worries! We‘ve got your back. Try BYJU‘S free classes today!

1 m m

No worries! We‘ve got your back. Try BYJU‘S free classes today!

10 m m

Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses

2.5 m m

No worries! We‘ve got your back. Try BYJU‘S free classes today!

Open in App

Solution

The correct option is D $10 m m$
Angle subtended by two minima at the slit in a single slit diffraction $= α = \frac{2 λ}{w}$
where, $w$ is the slit width.
Here the lens' diameter would act as slit width.
The width of central maxima is the distance between the two minima $= d α$
where, $d$ is the distance between slit and screen $= 1 m$
Thus, the width of central maxima $= 10 m m$

Suggest Corrections

Similar questions

Q. In a single slit diffraction of light of wavelength

λ

by a slit of width

e

, the size of the central maximum on a screen at a distance

b

is :

In a double slit experiment, the two slits are 1 mm apart and the screen is placed 1m away. A monochromatic light of wave length 500 nm is used. What will be the width of each slit for obtaining ten maxima of double slit within the central maxima of single slit pattern?

Q. For a parallel beam of monochromatic light of wavelength

^{'} λ^{'}

, diffraction is produced by a single slit whose width 'a' is of the order of the wavelength of the light. If 'D' is the distance of the screen from the slit, the width of the central maxima will be

Q. The Fraunhoffer 'diffraction' pattern of a single slit is formed in the focal plane of a lens of focal length

1 m

. The width of slit is

0.3 m m

. If third minimum is formed at a distance of

5 m m

from central maximum, then wavelength of light will be

In the diffraction of a single slit experiment, if the slit width is half then the width of the central maxima will be

Join BYJU'S Learning Program

In a single slit diffraction with λ=500nm and a lens of diameter 0.1 mm, width of central maxima, obtain on screen at a distance of 1 m will be

In a single slit diffraction with $λ = 500 n m$ and a lens of diameter 0.1 mm, width of central maxima, obtain on screen at a distance of 1 m will be