STANDARDPhysics-Atomic Structure

STANDARD Physics Bohr's Model MCQ Question

Type: MCQ-conceptual-Medium-Class 11

A triply ionized beryllium Be³⁺ has the same orbital radius as the ground state of hydrogen. Then the quantum state n of Be³⁺ is

A

n = 1

B

n = 2

C

n = 3

D

n = 4

Correct Answer

Option B

Detailed Explanation

The radius of the nth orbit in hydrogen-like atoms is given by rₙ = a₀n²/Z. For hydrogen, Z = 1, and for Be³⁺, Z = 4. Equating the radii, we find n = 2 for Be³⁺ to have the same radius as the ground state of hydrogen.

Found an issue with this question?