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.
ans 1 please
![Sheet (10) – Magnetism I
1. Using the results of quantum mechanics, calculate the magnetic moments that are possible for an
n = 3 level.
2. Consider a rectangular loop of wire carrying current I. From the torque of a homogeneous
magnetic field perpendicular to one pair sides, show that the current loop is equivalent to a
magnetic dipole µm =I A, where A is the area of the loop.
3. A flat conducting loop carries current I and is located in a uniform magnetic field, B. The field is
along the z-axis. For what orientation of the loop (in which plane or planes must be the loop) for
the torque to be:
B
а. Маximum
b. Zero
y
The torque is maximum if the loop is in the
plane.
The torque is zero if the loop is in the
plane.
4. A rectangular loop of dimensions 5.4 cm × 8.5 cm carries a current of 375 mA.
a. Calculate the magnitude of its magnetic moment.
b. Suppose a magnetic field, B, of magnitude 0.35 T is applied parallel to the plane
of the loop. What is the magnitude of the torque acting on the loop?
c. Calculate the magnitude of the torque on the loop when the 0.35 T magnetic
field makes angles of
i. 60°
ii. 0° with µm.
Physical Constants:
h = 6.63 x 1034 J/sec
Eo = 10/ (367T) = 8.854 × 10-9 F/m
µo = 4n × 10-7 H/m
е%3D 1.6 х 10-19 C
B = 9.27 x 10-24 J/T (or A m²)
m = 9.1 × 10-31 kg
c = 3 × 108 m/s](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F1c0a9129-3cd9-493f-ba3c-58fc6e560311%2F4e6e6551-58c7-4b2f-b1f4-67a4f3e10fd8%2Flan3tl_processed.png&w=3840&q=75)
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