Modern Physics
Modern Physics
2nd Edition
ISBN: 9780805303087
Author: Randy Harris
Publisher: Addison Wesley
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Chapter 4, Problem 28E

(a)

To determine

The distance between the slits.

(b)

To determine

The number of particles that are detected per second when the slit two is open alone.

(c)

To determine

The number of particles that are detected at the center when both the slits are opened.

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In an earlier version of the double-slit experiment, scientists used helium atoms (from a reservior kept at 295 K) that exit the nozzle after expansion with a wavelength λ = 0.56 Å. The spacing d between the slits is 8 ± 0.6 µm, and the distance between the slits and the detection plane is 0.64 m in their experiement. Calculate the spacing between maxima in the detection plane. The observed spacing is 4.5 ± 0.6 µm.
A highly collimated (parallel) beam of electrons is shot through a single slit of width 17.5μm. The electrons are moving with a speed of 7.357.35km/s. When they hit the screen, located at distance 1.57m away, the distribution of hitting positions makes a pattern with a central peak and minima on either side. What is the width of the central peak (equivalently, distance between the minima on either side)?   The mass of an electron is 9.11×10​^−31​​ kg.
In an earlier version of the double-slit experiment, scientists used helium atoms (from a reservior kept at 295 K) that exit the nozzle after expansion with a wavelength λ = 0.56 Å. Find the speed of these helium atoms.
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