Two protons (p) and two electrons (e) are arranged on a circle of radius r = 5 [cm], with angles 0₁ = 20°, 02 = 60°, 03 = 20° and 04 = 60°, as shown in the figure. (qp = +1.6 × 10-19 [C] and qe = -1.6 x 10-19 [C]). The figure is not to scale. р 04 Find Enet, the net electric field vector produced at the center of the circle. Ēnet = ( ])i + ( Ĵ[N/C] b. Where on the circle should a fifth point charge qo be placed (give its angle relative the +x-axis) and what is its value (calculate qo) in order to have Ēnet (the net electric field at the center of the circle) equals zero (Type the detailed solution to this question in the below box, Show all your calculation steps by typing in the box). X
Quantum mechanics and hydrogen atom
Consider an electron of mass m moves with the velocity v in a hydrogen atom. If an electron is at a distance r from the proton, then the potential energy function of the electron can be written as follows:
Isotopes of Hydrogen Atoms
To understand isotopes, it's easiest to learn the simplest system. Hydrogen, the most basic nucleus, has received a great deal of attention. Several of the results seen in more complex nuclei can be seen in hydrogen isotopes. An isotope is a nucleus of the same atomic number (Z) but a different atomic mass number (A). The number of neutrons present in the nucleus varies with respect to the isotope.
Mass of Hydrogen Atom
Hydrogen is one of the most fundamental elements on Earth which is colorless, odorless, and a flammable chemical substance. The representation of hydrogen in the periodic table is H. It is mostly found as a diatomic molecule as water H2O on earth. It is also known to be the lightest element and takes its place on Earth up to 0.14 %. There are three isotopes of hydrogen- protium, deuterium, and tritium. There is a huge abundance of Hydrogen molecules on the earth's surface. The hydrogen isotope tritium has its half-life equal to 12.32 years, through beta decay. In physics, the study of Hydrogen is fundamental.
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Two protons (p) and two
(e) are arranged on a circle of
5 [cm], with angles 0₁ = 20°,
0₂ = 60°, 03 = 20° and 04 = 60°, as
radius r
shown in the figure. (qp = +1.6 x 10-1⁹
[C] and qe = -1.6 × 10-19 [C]). The figure
is not to scale.
04
y
a.
Find Enet, the net electric field
vector produced at the center of the circle.
Enet =([
])i + (
]) Ĵ [N/C]
b.
Where on the circle should a
fifth point charge qo be placed (give its
angle relative the +x-axis) and what is its
value (calculate qo) in order to have Ēnet
(the net electric field at the center of the
circle) equals zero (Type the detailed
solution to this question in the below
box, Show all your calculation steps by
typing in the box).
Р
X](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F934f699a-a528-4fde-a609-d3dfcbf43037%2F79c107a8-8308-4d1a-8dd1-1899ceea2a1b%2Fc7o1dtr_processed.jpeg&w=3840&q=75)
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