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23 Nov 2019

True or False

(I) Is each one of the following statements true or false for aphoton?

(a) It is a quantum particle, behaving in some experiments like aclassical particle and in some experiments like a classicalwave.TrueYour answer is correct.

(b) Its rest energy is zero. FalseYour answer is incorrect.

(c) Its rest energy is nonzero. TrueYour answer is incorrect.

(d) It carries energy in its motion. 4

(e) It carries momentum in its motion. 5

(f) Its motion is described by a wave function that has awavelength and satisfies a wave equation. 6

(g) For one-dimensional motion, the wave equation is asfollows:
(partial^2 E)/(partial x^2) = mu_0 epsilon_0 (partial^2 E)/(partialt^2)
where the wave function E is the electric field magnitude, with asimilar equation for B = E/c. 7

(h) For one-dimensional motion, the wave equation is asfollows:
-hbar^2/(2m)(d^2 Psi)/(dx^2) + U Psi = E Psi
where E is the constant energy. 8

(i) The intensity of the wave is proportional to the square of itswave function. 9

(j) The intensity of the wave is measured from the rate at whichthe quantum particles bombard a detector. 10



(II) Is each one of the statements true or false for anelectron?

(a) It is a quantum particle, behaving in some experiments like aclassical particle and in some experiments like a classical wave.11

(b) Its rest energy is zero. 12

(c) Its rest energy is nonzero. 13

(d) It carries energy in its motion. 14

(e) It carries momentum in its motion. 15

(f) Its motion is described by a wave function that has awavelength and satisfies a wave equation. 16

(g) For one-dimensional motion, the wave equation is asfollows:
(partial^2 E)/(partial x^2) = mu_0 epsilon_0 (partial^2 E)/(partialt^2)
where the wave function E is the electric field magnitude, with asimilar equation for B = E/c. 17

(h) For one-dimensional motion, the wave equation is asfollows:
-hbar^2/(2m)(d^2 Psi)/(dx^2) + U Psi = E Psi
where E is the constant energy. 18

(i) The intensity of the wave is proportional to the square of itswave function. 19

(j) The intensity of the wave is measured from the rate at whichthe quantum particles bombard a detector.

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