Once Loschmidt had established a reasonable estimate for Avagadro’s [Loschmidt’s

Question

Once Loschmidt had established a reasonable estimate for Avagadro’s [Loschmidt’s] number, NA = 6 × 1023, subsequent experiments could establish estimates for other fundamental constants

A) The slope of stopping voltages vs. frequency for photoelectric effect measurements is 4.1× 10^15 V/Hz. Based on this, what is Planck’s constant?

B) If x-rays are assumed to be electromagnetic waves and x-ray production due to the conversion of electron kinetic energy to a photon, what is the frequency of photons produced by electrons accelerated across 10,000 volts?

C) Interference, such as that produced by sending visible light through a diffraction grating with spacing comparable to its wavelength, is the best evidence for the wave aspect of light. Based on your answers above, what could serve as a diffraction grating to show the wave aspect of x-rays?

Explanation / Answer

(a) slope of slope of stopping voltages vs. frequency for photoelectric effect =h/e

h= plancks constant and e= charge of electron

h/e=4.1x10-15

h= 4.1x10-15(1.6x10-19)

h=6.56x10-34 js

(b)E= hf

eV= hf

f=eV/h

f= 1.6x10-19*10000/6.63x10-34

f=2.4x1018Hz

(c) wavelength of x rays is 0.01 to 10 nanometers, so some atoms in crystals can serve as diffraction grafting.

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