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Chapter 33: Q. 5 (page 955)

Light of 630nmwavelength illuminates two slits that are0.25mmapart. FIGURE EX33.5shows the intensity pattern seen on a screen behind the slits. What is the distance to the screen?

Short Answer

Expert verified

The distance to the screen is1.31m.

Step by step solution

01

Formula for spacing between the peaks

In the double slit experiment, the position of the brilliant fringes can be written as follows:

ym=尘位尝d

As a result, the distance between the peaks of any two brilliant fringes is

localid="1649184414720" 螖测=ym+1-ym

=(m+1)位尝d-尘位尝d

=位尝d

02

Calculation of distance to the screen

To isolateL, rearranging the equation yields,

L=d螖测位

localid="1649184047902" 鈭�yis the distance between any two succeeding peaks in the given figure, which islocalid="1649184044408" 0.33m.

Thus

L=0.25脳10-3m脳0.33脳10-2m630脳10-9m

L=1.31m

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Most popular questions from this chapter

Light of wavelength620nmilluminates a diffraction grating. The second-order maximum is at angle 39.5掳. How many lines per millimeter does this grating have?

Light from a helium-neon laser (位=633nm) is incident on a single slit. What is the largest slit width for which there are no minima in the diffraction pattern?

Light from a helium-neon laser (位=633nm)is used to illuminate two narrow slits. The interference pattern is observed on a screen 3.0mbehind the slits. Twelve bright fringes are seen, spanning a distance of52mm. What is the spacing (in mm) between the slits?

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FIGURE shows the light intensity on a screen 2.5mbehind an aperture. The aperture is illuminated with light of wavelength 620nm.

a. Is the aperture a single slit or a double slit? Explain.

b. If the aperture is a single slit, what is its width? If it is a double slit, what is the spacing between the slits?
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