An electron orbits a nucleus in a Bohr orbit with radius r. If the electron's de Broglie wavelength is λ, what is the value of n for the first stable orbit?
The nucleus of one of the isotopes of nickel is \(^{60}_{28}\text{Ni}\). Which line correctly describes a neutral atom of this isotope?
The mass defect of a nucleus is defined as:
Which statement correctly explains why energy is released in nuclear fusion of light nuclei?
In the Bohr model combined with de Broglie’s idea, what physical concept explains why the electron cannot have arbitrary orbit radii?
An electron transitions from a higher energy level E_i to a lower energy level E_f, emitting a photon of wavelength 500 nm. If E_i = -3.2 × 10⁻¹⁹ J, calculate E_f. (h = 6.63 × 10⁻³⁴ J·s, c = 3.00 × 10⁸ m/s)
Which statement correctly explains why energy is released in nuclear fission of heavy nuclei?
Given an electron of mass 9.11 × 10⁻³¹ kg moving in a Bohr orbit of radius 5.29 × 10⁻¹¹ m with speed 2.19 × 10⁶ m/s, calculate the number of de Broglie wavelengths fitting in the orbit circumference.
What does the equation 2πr = nλ represent in the Bohr model with de Broglie waves?
Which statement about the strong nuclear force is correct?
Which nucleus is the most stable based on binding energy per nucleon?
Which of the following correctly describes the strong nuclear force?
The mass of a proton is 1.00728 u and the mass of a neutron is 1.00867 u. The mass of a \(^{4}_{2}\text{He}\) nucleus is 4.00150 u. What is the mass defect of the helium nucleus in atomic mass units?
A nucleus has a mass defect of 5.0 × 10⁻²⁹ kg. The binding energy of this nucleus is:
An electron in a hydrogen atom transitions from the n=3 level to the n=2 level. The energy of the n=3 level is -1.51 eV and that of the n=2 level is -3.40 eV. Calculate the wavelength of the emitted photon. (Take h = 6.63×10⁻³⁴ Js, c = 3.00×10⁸ m/s, 1 eV = 1.60×10⁻¹⁹ J)
The strong nuclear force acts between:
The binding energy per nucleon of \(^{2}_{1}\text{H}\) (deuterium) is 1.1 MeV. The binding energy per nucleon of \(^{4}_{2}\text{He}\) is 7.1 MeV. When two deuterium nuclei fuse to form helium-4, the energy released is approximately:
In the reaction \(^{1}_{1}\text{p} + ^{2}_{1}\text{H} \rightarrow ^{3}_{2}\text{He} + Q\), using masses: proton = 1.00728 u, ²H = 2.01355 u, ³He = 3.01493 u. What is Q?
Which two nuclei contain the same number of neutrons?
If an electron in a Bohr orbit has a de Broglie wavelength λ, what would happen if the circumference 2πr was not an integer multiple of λ?
Which of the following is evidence that the strong nuclear force must exist?
A nucleus has a binding energy of 492 MeV and contains 56 nucleons. Its binding energy per nucleon is:
The mass number A of a nucleus is defined as:
The mass defect of \(^{56}_{26}\text{Fe}\) is 0.5290 u. Using 1 u = 1.661 × 10⁻²⁷ kg, the mass defect in kg is:
Why does the Bohr model require the electron orbit circumference to be an integer multiple of the de Broglie wavelength?