Which of the following statements about the photon is true? i. The photon has a wavelength; ii. The photon has a mass; iii. The photon can undergo interference; iv. The photon is charged; \(\mathrm{v}\). The photon has a momentum. (A) i only (B) i, ii only (C) i, iii, v only (D) i, ii, iii, iv only (E) iii, v only

Short Answer

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(A) The photon has a wavelength only. (B) The photon has a wavelength and a mass only. (C) The photon has a wavelength, can undergo interference, and has momentum only. (D) The photon has a wavelength, mass, can undergo interference, and is charged only. (E) The photon can undergo interference and has momentum only. Answer: (C) The photon has a wavelength, can undergo interference, and has momentum only.

Step by step solution

01

Understand the properties of photons

Photons are fundamental particles of light that have characteristic properties. They have no mass, are uncharged, and move at the speed of light. They also have a wavelength and can undergo phenomena such as interference and diffraction.
02

Analyze the given statements

We will analyze each of the given statements and determine if they are true or false based on the properties of photons: i. The photon has a wavelength - Yes, photons have wavelengths associated with their energies and frequencies. ii. The photon has a mass - No, photons do not have mass, as they are massless particles. iii. The photon can undergo interference - Yes, photons can undergo interference, as demonstrated in experiments like the double-slit experiment. iv. The photon is charged - No, photons are not charged. They are electrically neutral. v. The photon has a momentum - Yes, photons have momentum, which can be calculated by \(p = \frac{h}{\lambda}\), where \(p\) is the momentum, \(h\) is the Planck's constant, and \(\lambda\) is the wavelength of the photon.
03

Identify the correct choices based on the statements' validity

Now that we had analyzed the accuracy of each statement, let's review the choices and identify the correct combination of true statements: (A) i only - This option is missing necessary true statements, so it's incorrect. (B) i, ii only - This option incorrectly includes the statement about the photon having mass. (C) i, iii, v only - This option correctly includes all three true statements, making it the correct choice. (D) i, ii, iii, iv only - This option incorrectly includes the statements about the photon having mass and being charged. (E) iii, v only - This option is missing the true statement about the photon having a wavelength. Based on our analysis, the correct answer is (C) i, iii, v only.

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Most popular questions from this chapter

A boron atom bombarded by a slow neutron can undergo the following reaction: $$ \mathrm{n}+{ }^{10} \mathrm{~B} \rightarrow{ }^4 \mathrm{He}+{ }^7 \mathrm{Li}+\gamma . $$ The reaction products receive \(2.31 \mathrm{MeV}\) of kinetic energy. This kinetic energy should be computed as (A) equal to the kinetic energy of the neutron. (B) the total energy of the neutron. (C) the energy deficit of the reaction. (D) the energy deficit of the reaction minus the photon energy. (E) the energy deficit of the reaction minus the kinetic energy of the neutron.

Measurements of the spectrum of a certain atom show that one sequence of spectral lines has the identical pattern of the Balmer series except that all the frequencies are exactly four times as high. The most likely explanation for the observation is that (A) one is observing a series of lines in hydrogen that have the ground state \(n=1\) instead of \(n=2\). (B) the atom is helium, with atomic number two. (C) the atom is beryllium with atomic number four. (D) the atom is deuterium with atomic mass two. (E) the atom is hydrogen but excited to energy levels that are four times higher than in the Balmer series.

In the Bohr model of the atom, which of the following statements are false? (More than one response permitted.) (A) The energy levels are spaced apart by \(h v\). (B) The angular momentum of the electron is quantized. (C) The least amount of energy that can be absorbed by the atom is between the \(n=2\) state and the \(n=3\) state. (D) The energy of a photon emitted in the Balmer series is proportional to \(\left(\frac{1}{4}-\frac{1}{n^2}\right)\) where \(n\) is the principal quantum number of the initial energy level. (E) The energy levels characterized by the quantum number \(n\) are stable.

Which of the following statements is true? The existence of the de Broglie wavelength \(\lambda_{d B}\) implies (A) that matter particles should undergo interference. (B) that matter waves travel at the speed of light. (C) that the frequency of matter waves is \(c / \lambda_{d B}\), where \(c\) is the speed of the particle. (D) that matter waves are given off by accelerating charges. (E) that matter waves are polarized.

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