AIIMS2019Physics-Wave Optics

AIIMS 2019 Physics Wavelength Calculation MCQ Question

Type: MCQ-numerical-Medium-Class 12

The de-Broglie wavelength of electron in 3rd3^{\text{rd}} orbit of He+1\text{He}^{+1} ion is approximately

A

2 A2\text{ A}^\circ

B

3 A3\text{ A}^\circ

C

4 A4\text{ A}^\circ

D

5 A5\text{ A}^\circ

Correct Answer

Option D

Detailed Explanation

The expression for wavelength, λ = 2πr/n, indicates that wavelength is dependent on the radius (r) and a quantum number (n). In this context, if specific values for r and n are not provided, it is impossible to calculate a numerical wavelength, making option D the only valid choice. The other options are not applicable as they do not provide any relevant information or values necessary for solving the equation. Understanding this relationship is crucial in quantum mechanics and wave physics, where wavelength plays a significant role in describing wave behavior.

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