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Question

Physics Question on Atoms

In the case of the Bohr atom model, if EkE_k and UU are the kinetic and potential energies of an electron in an orbit then,

A

Ek+U=0E_k+U =0

B

EkU=0E_k-U =0

C

2Ek+U=02E_k+U =0

D

Ek+2U=0E_k+2U =0

Answer

2Ek+U=02E_k+U =0

Explanation

Solution

In an orbit of the Bohr atomic model, Ek+UEk+ U = total energy (E)(E)
\because kinetic energy, (Ek)(E_k ) = - total energy (E)(E)
Ek+U=Ek\therefore \, E_k + U = - E_k
or 2Ek+U=02E_k + U = 0.