According to the Bohr model of the hydrogen atom, the total energy of an electron in the nth stationary orbit is directly proportional to: MCQ with Answer and Explanation

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According to the Bohr model of the hydrogen atom, the total energy of an electron in the nth stationary orbit is directly proportional to:

A. 1 / n^2

B. n^2

C. n

D. 1 / n

Answer: Option A

Solution (By JKExamLibrary)

The total energy of an electron in a hydrogen-like atom in the nth orbit is strictly negative and given by the mathematical formula E_n = -13.6 Z^2 / n^2 (in eV). This formula demonstrates that the total energy is inversely proportional to the square of the principal quantum number (n^2).

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The resistance of a wire is R. If its length is doubled and area is halved, the new resistance is

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B. 4R

C. 2R

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Correct Answer: Option B

Explanation:
R ∝ L/A. New L'=2L, A'=A/2 => R' = ρ(2L)/(A/2) = 4ρL/A = 4R. Alternatively, volume constant? Not given, here both changed independently. So 4R.

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Correct Answer: Option C

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This question belongs to: Science Physics

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