Verified Solution • 2025–26 Session moderate

QJEEM22Ph876b: JEE Main 2022 Physics - Class 12 JEEM22Ph876b Solution: In Bohr's atomic model of hydrogen, let K, P and E are the…

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 :

Multiple Choice Options

A All K, P and E increase.
B K decreases, P and E increase.
C P decreases, K and E increase.
D K increases, P and E decrease.

Step-by-Step Verified Solution

$T.E. = {{ - {Z^2}m{e^4}} \over {8{{\left( {nh{\varepsilon _0}} \right)}^2}}}$

$P.E. = {{ - {Z^2}m{e^4}} \over {4{{\left( {nh{\varepsilon _0}} \right)}^2}}}$

$K.E. = {{{Z^2}m{e^4}} \over {8{{\left( {nh{\varepsilon _0}} \right)}^2}}}$

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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