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The ratio of kinetic energy and the total energy of the electron in the nth quantum state of Bohr's atomic model of hydrogen atom is _______.

Asked in GUJCET 2009 · Energy levels and ionisation

• (1) -1
• (2) +1
• (3) -2
• (4) +2

Step-by-step solution

Why the other options are wrong

• (2) +1 drops the sign: the kinetic energy is positive while the total energy of a bound electron is negative, so their ratio must be negative.
• (3) -2 is the ratio of potential energy to kinetic energy, U/K=(2E)/(-E), not of kinetic to total energy.
• (4) +2 is the ratio of potential energy to total energy, U/E=(2E)/E.

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