JEE MAIN - Physics (2022 - 24th June Evening Shift - No. 19)
In Bohr's atomic model of hydrogen, let K, P and E are the kinetic energy, potential energy and total energy of the electron respectively. Choose the correct option when the electron undergoes transitions to a higher level :
All K, P and E increase.
K decreases, P and E increase.
P decreases, K and E increase.
K increases, P and E decrease.
Explanation
$$T.E. = {{ - {Z^2}m{e^4}} \over {8{{\left( {nh{\varepsilon _0}} \right)}^2}}}$$
$$P.E. = {{ - {Z^2}m{e^4}} \over {4{{\left( {nh{\varepsilon _0}} \right)}^2}}}$$
$$K.E. = {{{Z^2}m{e^4}} \over {8{{\left( {nh{\varepsilon _0}} \right)}^2}}}$$
As electron makes transition to higher level, total energy and potential energy increases (due to negative sign) while the kinetic energy reduces.
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