Q: A football of mass $$0.20\ \mathrm{kg} is $$kicked with a speed of $$15\ \mathrm{m/s}. $$What is its de Broglie wavelength? ($$h = 6.6 \times 10$$^{-34}$$\ \mathrm{J \cdot s})$$

$$2.2 \times 10$$^{-34}$$\ \mathrm{m}$$

Q: An electron is accelerated through a potential difference of $$100\ \mathrm{V}. $$What is the kinetic energy gained by the electron?

$$1.6 \times 10$$^{-17}$$\ \mathrm{J}$$

Question 1

Which equation expresses the de Broglie wavelength of a particle with mass $$m$$ and velocity $$v$$?

Accepted Answer

$$\lambda = \dfrac{h}{mv}$$

Question 2

A football of mass $$0.20\ \mathrm{kg} is $$kicked with a speed of $$15\ \mathrm{m/s}. $$What is its de Broglie wavelength? ($$h = 6.6 	imes 10$$^{-34}$$\ \mathrm{J \cdot s})$$

Accepted Answer

$$2.2 	imes 10$$^{-34}$$\ \mathrm{m}$$

Question 3

Which experiment provided evidence for the existence of the atomic nucleus?

Accepted Answer

Rutherford's gold foil experiment

Question 4

What is the energy of a photon with frequency $$f$$?

Accepted Answer

$$E = h f$$

Question 5

Which of the following best describes the duality of matter and waves in quantum mechanics?

Accepted Answer

Particles exhibit both wave-like and particle-like properties.

Question 6

An electron is accelerated through a potential difference of $$100\ \mathrm{V}. $$What is the kinetic energy gained by the electron?

Accepted Answer

$$1.6 	imes 10$$^{-17}$$\ \mathrm{J}$$

Question 7

Which formula gives the relationship between the energy and momentum of a photon?

Accepted Answer

$$E = p c$$

Question 8

Which phenomenon demonstrates the quantization of energy levels in atoms?

Accepted Answer

Discrete spectral lines in atomic emission spectra

Question 9

What is the physical significance of the equation $$E = m c^2$?

Accepted Answer

Mass and energy are equivalent and can be converted into each other.

Question 10

Which process is responsible for the energy production in the Sun?

Accepted Answer

Nuclear fusion

Question 11

In the context of the photoelectric effect, what happens when the frequency of incident light is below the threshold frequency?

Accepted Answer

No electrons are emitted from the material.

Question 12

Which equation describes the condition for constructive interference in electron diffraction?

Accepted Answer

$$d \sin 	heta = n \lambda$$

Question 13

What is the main advantage of using electrons instead of visible light in microscopy?

Accepted Answer

Electrons have much shorter wavelengths, allowing higher resolution.

Question 14

Which of the following statements about photons is correct?

Accepted Answer

Photons have energy and momentum but zero rest mass.

Question 15

A nucleus has a mass less than the sum of its constituent protons and neutrons. What is this mass difference called?

Accepted Answer

Mass defect

Question 16

Which process releases energy due to an increase in binding energy per nucleon for light nuclei?

Accepted Answer

Fusion

Question 17

What is the main reason why stable nuclei have more neutrons than protons as their atomic number increases?

Accepted Answer

To overcome the increasing Coulomb repulsion between protons

Question 18

Which effect demonstrates the particle nature of light by showing that photons transfer momentum to electrons?

Accepted Answer

Compton effect

Question 19

What is the result of stimulated emission in a laser?

Accepted Answer

Two coherent photons are emitted with the same direction, wavelength, and phase

Wave-Particle Duality and Quantum Concepts: Matter Waves, Photons, and Atomic Structure

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