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A single electron orbits around a statio...

A single electron orbits around a stationary nucleus of charge `+ Ze` where `Z` is a constant and e is the magnitude of electronic charge. It requires 47.2 eV to excite the electron from the second bohr orbit to the third bohr orbit
a. Find the value of Z
b. Find the energy required to excite the electron from `n = 3" to " n = 4`
c. Find the wavelength of radiation required to remove the electron from the second bohr orbit to infinity
d. Find the kinetic energy, potential energy and angular momentum of the electron in the first orbit
e. Find the ionisation energy of above electron system in electron-volt.

A

The value of Z is 5

B

The wavelength of electromagnetic radiation required to remove the electron from first orbit to infinity is nearly 3653 pm

C

The radius of the first orbit is 10.6 pm

D

The angular momentum of the electron in first orbit is `1.05xx10^(-34)J.s`

Text Solution

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The correct Answer is:
A, B, C, D
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