How many revolutions would an electron make in the n=2 state before decaying?

Also, you used the wrong equation for the velocity. It should be v = (n*h_bar)/(m*r), where m is the mass of the electron, r is the radius of the orbit, and n is the principal quantum number. In summary, to calculate the number of revolutions an electron would make in the n=2 state before decaying, we can use the equation v = (n*h_bar)/(m*r) where m is the mass of the electron, r is the radius of the orbit, and n is the principal quantum number. Using the correct values, we get a velocity of 157.4 m/s. Multiplying this by the time in the excited state (5.79 ns) gives a distance of
  • #1
PhyzicsOfHockey
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Homework Statement



A hydrogen atom exists in an excited state for typically 5.79 ns. How many revolution would an electron make in the n=2 state before decaying?



Homework Equations


L=m*v*Rn=h(bar)*n
w=v/Rn
Rn=n^2*Ao
Ao=.053 nm


The Attempt at a Solution


Rn=4*.053=.212 nm (don't know what purpose this serves)
v=2*1.0546E-34/(1.6727E-27*.212E-9)
v= 594.8 m/s
distance= v*t
d= 594.8*5.79E-9s= 3.444 E-6 m
circumfrance- 2*pi*r= 2*3.14*.212E-9m=1.332E-9 m
d/circumfrance= 2585.5 revolutions

This is wrong, can someone help me?
 
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  • #2
You put a wrong value for the mass of the electron. It should be 9.1 E-31 kg.
 

Related to How many revolutions would an electron make in the n=2 state before decaying?

What are the "Revolutions of an electron"?

The "Revolutions of an electron" refer to the motion of an electron around the nucleus of an atom. This motion is typically described using the Bohr model, where the electron moves in circular orbits at different energy levels.

What causes an electron to undergo revolutions?

An electron undergoes revolutions due to the attractive force between the positively charged nucleus and the negatively charged electron. This force keeps the electron in orbit around the nucleus, similar to how the gravitational force keeps planets in orbit around the sun.

How many revolutions does an electron make in an atom?

The number of revolutions an electron makes in an atom depends on the electron's energy level. The higher the energy level, the further away the electron is from the nucleus and the more revolutions it makes. For example, an electron in the first energy level makes one revolution, while an electron in the second energy level makes two revolutions.

Do electrons always follow circular orbits?

No, electrons do not always follow circular orbits. The Bohr model is a simplified representation of electron motion, and in reality, electrons move in more complex patterns called orbitals. These orbitals can be described using quantum mechanics and do not have a defined shape.

Can the revolutions of an electron be observed?

The revolutions of an electron cannot be directly observed, as they are too small to be seen with current technology. However, scientists can indirectly observe electron motion through experiments and calculations using quantum mechanics and other theories.

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