Suppose N electrons can be placed in either of two configurations. In configuration 1, they are all placed on the circumference of a narrow ring of radius R and are uniformly distributed so that the distance between adjacent electrons is the same everywhere In configuration 2, N − 1 electrons are uniformly distributed on the ring and one electron is placed in the center of the ring, (a) What is the smallest value of N for which the second configuration is less energetic than the first? (b) For that value of N , consider any one circumference electron—call it e 0 . How many other circumference electrons are closer to e 0 than the central electron is?
Suppose N electrons can be placed in either of two configurations. In configuration 1, they are all placed on the circumference of a narrow ring of radius R and are uniformly distributed so that the distance between adjacent electrons is the same everywhere In configuration 2, N − 1 electrons are uniformly distributed on the ring and one electron is placed in the center of the ring, (a) What is the smallest value of N for which the second configuration is less energetic than the first? (b) For that value of N , consider any one circumference electron—call it e 0 . How many other circumference electrons are closer to e 0 than the central electron is?
Suppose N electrons can be placed in either of two configurations. In configuration 1, they are all placed on the circumference of a narrow ring of radius R and are uniformly distributed so that the distance between adjacent electrons is the same everywhere In configuration 2, N − 1 electrons are uniformly distributed on the ring and one electron is placed in the center of the ring, (a) What is the smallest value of N for which the second configuration is less energetic than the first? (b) For that value of N, consider any one circumference electron—call it e0. How many other circumference electrons are closer to e0 than the central electron is?
Why is the following situation impossible? In the Bohr model of the hydrogen atom, an electron moves in a circular orbit about a proton. The model states that the electron can exist only in certain allowed orbits around the proton: those whose radius r satisfies r = n2(0.052 9 nm), where n = 1, 2, 3, . . . . For one of the possible allowed states of the atom, the electric potential energy of the system is -13.6 eV.
Four parallel plates are connected in a vacuum as shown in the picture. An electron with initial velocity,
1.02 x 10°m/s in the hole of plate X is accelerated to the right. Gravity is negligible once the electron
passes through holes at W and Y. However due to the high air viscosity, the electrons loses 1.6 × 10-17) of
1V =
energy between the plate W to plate Y. It then passes through the hole at Y and slows down as it heads to plate
Z. Calculate the distance, in centimetres, from plate Z to the point at which the electron changes direction.
- 6.0 cm→6.0 cm→<6.0 cm -
W
Y
4.0 x 10² V
7.0 × 103 V
N
Considering electron and proton as two charged particles separated by d = 4.5 × 10-11 m calculate the electrostatic potential at a distance d
from the proton. Take the mass of the proton 1.7 x 10-27 kg, the mass of the electron 9.1 x 10-31 kg, the electron charge
-1.6 × 10-19 C and
1
Απερ
= 9 × 10⁹ m/F.
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