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In the Bohr’s model of hydrogen atom, the ratio of the kinetic energy to the total energy of the electron in nth quantum state is
Options
(a) (-1)
(b) (+1)
(c) (-2)
(d) (+2)
Correct Answer:
(-1)
Explanation:
In Bohr’s model of hydrogen atom, the kinetic energy of the electron in nᵗʰ state is given by
K = me⁴ / 8ε₀²h²n² = (13.6 / n²) eV
where, me⁴ / 8ε₀²h² = 13.6 eV
The potential energy of electron in nᵗʰ state is given by
U = -2me⁴ / 8ε₀²h²n² = (-27.2 / n²) eV
Total energy of electron in nᵗʰ state is given by
E = K + U = (me⁴ / 8ε₀²h²n² ) – (2me⁴ / 8ε₀²h²n²)
E = -me⁴ / 8ε₀²h²n² = (-13.6 / n ²) eV
.·. K / E = -1
Related Questions: - Which phenomenon best supports the theory that matter has a wave nature?
- A particle moves along the x-axis from x=0 to x=5 m under the influence of a force
- The total kinetic energy of a body of mass 10 kg and radius 0.5 m moving with a velocity
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Topics: Atoms and Nuclei
(136)
Subject: Physics
(2479)
Important MCQs Based on Medical Entrance Examinations To Improve Your NEET Score
- Which phenomenon best supports the theory that matter has a wave nature?
- A particle moves along the x-axis from x=0 to x=5 m under the influence of a force
- The total kinetic energy of a body of mass 10 kg and radius 0.5 m moving with a velocity
- Temperature is a measurement of coldness or hotness of an object.
- An alternating voltage given as, V=100√2 sin100t V is applied to a capacitor
Topics: Atoms and Nuclei (136)
Subject: Physics (2479)
Important MCQs Based on Medical Entrance Examinations To Improve Your NEET Score
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