Atomic StructuremediumMCQ SINGLE

An electron in a hydrogen atom in its ground state absorbs 1.5 times as much energy as the minimum rAtomic Structure Chemistry Question

Question

An electron in a hydrogen atom in its ground state absorbs 1.5 times as much energy as the minimum required for it to escape from the atom. What is the speed of the emitted electron?

Answer: A

💡 Solution & Explanation

Minimum required energy is 13.6 eV. Energy absorbed = $1.5 \times 13.6 = 20.4$ eV. Kinetic energy of the emitted electron = $20.4 - 13.6 = 6.8$ eV. Speed $v = \sqrt{\frac{2K}{m}} = \sqrt{\frac{2 \times 6.8 \times 1.6 \times 10^{-19}}{9.1 \times 10^{-31}}} \approx 1.546 \times 10^6$ m/s. Therefore, correct answer is A.

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