Question

when an electron of charge e and mass m moving with a velocity v about the nuclear change ze in a circular orbit of radius r the potential energy of electrons is given by:
a) Ze2/r b) -Ze2/r
c) -Ze2/r2 d)-Ze/r2
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Answer 1

Answer:

-Ze^2/r ....option a is right

Answer 2

Given:

When an electron of charge e and mass m moving with a velocity v about the nuclear change ze in a circular orbit of radius r.

To find:

The potential energy of electrons is given by:

Solution:

Electric potential energy is given by,

U = k q1 q2 / r

From given, we have,

An electron of charge e and mass m moving with a velocity v about the nuclear change ze in a circular orbit of radius r.

⇒ U = k (Ze) (-e) / r

U = - k Ze²/r

where, k is a constant

Thus, we have,

U ∝ - Ze²/r

Therefore, the potential energy of electrons is given by - Ze²/r .

Option b) -Ze2/r is correct.