1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
tankabanditka [31]
3 years ago
9

In an early attempt to understand atomic structure, Niels Bohr modeled the hydrogen atom as an electron in uniform circular moti

on about a proton with the centripetal force caused by Coulomb attraction. He predicted the radius of the electron's orbit to be 5.29 ✕ 10−11 m. Calculate the speed of the electron and the frequency of its circular motion.
Physics
1 answer:
AleksandrR [38]3 years ago
6 0

Answer:

The answer is below

Explanation:

Using Coulomb's law of electric field which is:

F=k\frac{q_1q_1}{r^2}\\\\ k =constant=9*10^9\ Nm^2/C^2,q_1=q_2=1.6*10^{-19}C,r=5.29*10^{-11}m\\\\Substituting\ gives:\\\\F=9*10^9*\frac{(1.6*10^{-19})*(1.6*10^{-19})}{(5.29*10^{-11})^2} =8.22*10^{-8}N\\\\Both\ centripetal\ force\ is\ given\ by:\\\\F=m\frac{v^2}{r} \\\\m = mass\ of \ electron=9.11*10^{-31}g,v=speed\ of\ electron\\\\F=m\frac{v^2}{r} \\\\v=\sqrt{\frac{F*r}{m} } \\\\subsituting:\\\\v=\sqrt{\frac{8.22*10^{-8}*5.29*10^{-11}}{9.11*10^{-31}} } \\\\v=2.18*10^6\ m/s\\\\

But\ \omega=\frac{v}{r}=\frac{2.18*10^6}{5.29*10^{-11}}  =4.13*10^{17}\\\\\omega=2\pi f; f=frequency\\\\f=\frac{\omega}{2\pi} =\frac{4.13*10^{17}}{2\pi} \\\\f=6.57*10^{15}\ Hz

You might be interested in
How can you predict the action of the element
patriot [66]
Stark contrast to paths on energy surfaces or even mechanistic reactions, rule-based and inductive computational approaches to reaction prediction mostly consider only overall transformations. Overall transformations are general molecular graph rearrangements reflecting only the net change of several successive mechanistic reactions. For example, Figure 1 shows the overall transformation of an alkene interacting with hydrobromic acid to yield the alkyl bromide along with the two elementary reactions which compose the transformation.
8 0
3 years ago
Which statement best describes frustration?
wlad13 [49]
C. when you can't achieve your goal due to events beyond your control
5 0
3 years ago
Most of the countries in Europe use SI measurments. How could this be a problem if you went on a trip to Europe?
faust18 [17]
Not knowing how to convert the type of measurement according to your way of learning from where ever you come from.
5 0
3 years ago
Read 2 more answers
Which velocity-time graph matches the position-time graph?
skelet666 [1.2K]

The answer is Graph C. To explain, this is because as we look at the position vs time graph, we see that after the first second, it was 30 meters from the start. That would mean that it took 1 second to get to 30 meters. That is shown in Graph c

7 0
3 years ago
Read 2 more answers
Please help! I’ll give Brainliest
babymother [125]

Answer:

9.8 secs

Explanation:

the ball is in the air so it takes 9.8 secs to get to the ground

5 0
3 years ago
Read 2 more answers
Other questions:
  • A thin, circular coil of wire of radius r consists of 100 turns of wire carrying a conventional current of I in the counter-cloc
    8·2 answers
  • When one object pushes or pulls another object the first object is
    8·1 answer
  • Assuming a vertical trajectory with no drag, derive the applicable form of the rocket equation for this application
    11·1 answer
  • Four students are each pushing on one side of a box. Mara is pushing to the west, Cindi is pushing to the east, Chris is pushing
    9·1 answer
  • How is sound produced in our throat​
    6·1 answer
  • Why does a black hole have a stronger gravitational pull than the star that collapse to form it?​
    15·1 answer
  • Two bodies, one hot and the other cold kept in vacuum.what will happen to the tempreture of bodies after some time.
    14·1 answer
  • Negative acceleration is also known as
    11·2 answers
  • Plzz answer this question correctly
    7·1 answer
  • Which of the following statements about globular clusters is true? All stars in the cluster have approximately the same mass. Al
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!