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A double-slit experiment is set up using a helium-neon laser (λ=633nm). Then a very thin piece of glass (n=1.50) is placed over one of the slits. Afterward, the central point on the screen is occupied by what had been the m=10 dark fringe. How thick is the glass?

Short Answer

Expert verified

The thickness of the glass isd=12μm.

Step by step solution

01

Introduction

Silica is a quel, often colorless homogeneous glass that has a wide range of utilitarian, commercial, and ornamental functions, including glass panes, dinnerware, and optics. The most frequent way to make glass is to quickly cold (quench) liquid metal; nevertheless, some glasses, such as volcanic glass, form accidentally.

02

Find thickness of the glass

The passage of one ray over the other will be extended by inserting the glass. The number of wavelengths inside the glass can be stated as if the glass is thick.

mglass=dλ/n=ndλ

here nis the glass's refractive index. We still must find that the amount of lengths in the air at height in order to calculate the change in path-length difference after inserting the glass. (d)"before adding the glass," then deduct that proportion from the diamond's excitation wavelength. The total number of wavelengths in the air equals the total number of wavelengths in the air.

mair=dλ

After installing the glass, the difference in phase difference is now

mglass−mair=ndλ−dλ=dλ(n−1)

Keep in mind that we count the fringes from zero, so the first fringe has m=0and the tenth fringe has m=9. When the 10th dark fringe moves to the situation of the first dark fringe, this equals Δm=9−0=9, but when it moves to the location of the related topic, it equals Δm=9+0.5=9.5, We still must find that the amount of lengths in the air at height in order to calculate the change in path-length difference after inserting the glass.

9.5=dλ(n−1)

to determine d, adjust the equation

d=9.5λ(n−1)=9.5×0.633μm1.5−1

d=12μm

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Most popular questions from this chapter

FIGURE Q33.1 shows light waves passing through two closely spaced, narrow slits. The graph shows the intensity of light on a screen behind the slits. Reproduce these graph axes, including the zero and the tick marks locating the double-slit fringes, then draw a graph to show how the light-intensity pattern will appear if the right slit is blocked, allowing light to go through only the left slit. Explain your reasoning.

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

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