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In a hydrogen atom, the electron and pro...

In a hydrogen atom, the electron and proton are bound together at a distance of above 0.53 Å. Estimate the potential energy of the system in eV, assuming zero potential energy at infinite separation between the electron and the proton.

A

`21.8`

B

`17.4`

C

`27.2`

D

None of these

Text Solution

Verified by Experts

The correct Answer is:
C
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In a hydrogen atom, the electron and proton are bound at a distance of about 0.53 Å : (a) Estimate the potential energy of the system in eV, taking the zero of the potential energy at infinite separation of the electron from proton. (b) What is the minimum work required to free the electron, given that its kinetic energy in the orbit is half the magnitude of potential energy obtained in (a)? (c) What are the answers to (a) and (b) above if the zero of potential energy is taken at 1.06 Å separation ?

In a hydrogen atom, the electron and proton are bound at a distance of about 0.53 Å: (a) Estimate the potential energy of the system in eV, taking the zero of the potential energy at infinite separation of the electron from proton. (b) What is the minimum work required to free the electron, given that its kinetic energy in the orbit is half the magnitude of potential energy obtained in (a)? (c) What are the answers to (a) and (b) above if the zero of potential energy is taken at 1.06 Å separation?

Knowledge Check

  • In above Q., the potential energy of the electron is:

    A
    `-1.7 eV`
    B
    `-3.4 eV`
    C
    `-6.8 eV`
    D
    `-13.4 eV`

  • If the electron in a hydrogen atom moves from ground state orbit to 5th orbit, then the potential energy of the system

    A
    Become zero
    B
    Is decreased
    C
    In increased
    D
    Remained unchanged

  • If electron in a hydrogen atom has moves from n = 1 to n = 10 orbit, the potential energy of the system has

    A
    increased
    B
    decreased
    C
    remained unchanged
    D
    become zero

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