STANDARDPhysics-Modern Physics

STANDARD Physics de-Broglie Wavelength MCQ Question

Type: MCQ-conceptual-Medium

If the radius of first orbit of H-atom is a₀, then de-Broglie wavelength of electron in 4th orbit is

A

8πa₀

B

a₀/4

C

16a₀

D

2πa₀

Correct Answer

Option A

Detailed Explanation

The radius of the nth orbit is given by rₙ = a₀n². For the 4th orbit, r₄ = 16a₀. The de-Broglie wavelength λ = h/mv = h/8πa₀, which simplifies to 8πa₀.

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