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Chapter 36: Q7P (page 1109)

Light of wavelength 633nmis incident on a narrow slit. The angle between the first diffraction minimum on one side of the central maximum and the first minimum on the other side is 1.20°. What is the width of the slit?

Short Answer

Expert verified

The width of slit is 3.023×10-5m.

Step by step solution

01

Identification of given data

The wavelength of the light is λ=633nm.

The angle of diffraction between central minima and second order minima is θ=1.20°.

The order of first minima is m=1.

02

Concept used

The diffraction is the phenomenon in which the light bends on the edges of the slit and pattern of light is formed on a screen.

03

Determination of width of slit

The width of slit is given as:

mλ=dsinθ

Substitute all the values in equation.

1633nm10-9m1nm=dsin0.429°d=3.023×10-5m

Therefore, the width of slit is 3.023×10-5m.

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Most popular questions from this chapter

Two yellow flowers are separated by 60 cm along a line perpendicular to your line of sight to the flowers. How far are you from a flower when they are at the limit of resolution according to the Rayleigh criterion? Assume the light from the flowers has a single wavelength of 550 nm and that your pupil has a diameter of 5.5 mm.

You are conducting a single slit diffraction experiment with a light of wavelength λ. What appears , on a distant viewing screen, at a point at which the top and bottom rays through the slit have a path length difference equal to (a) 5λand (b) 4.5λ?

The wall of a large room is covered with acoustic tile in which small holes are drilled 5.0mmfrom centre to centre. How far can a person be from such a tile and still distinguish the individual holes, assuming ideal conditions, the pupil diameter of the observer’s eye to be 4.00mm, and the wavelength of the room light to be 550nm?

A single slit is illuminated by light of wavelengths λa and λb, chosen so that the first diffraction minimum of the λacomponent coincides with the second minimum of the λbcomponent. (a) If λb=350nm , what is λa? For what order number mb (if any) does a minimum of the λb component coincide with the minimum of the λa component in the order number (b) role="math" localid="1663142824281" ma=2 and (c) ma=3?

In two-slit interference, if the slit separation is14μmand the slit widths are each 2.0μm, (a) how many two-slit maxima are in the central peak of the diffraction envelope and (b) how many are in either of the first side peak of the diffraction envelope?
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