STANDARDPhysics-Atomic Structure

STANDARD Physics Bohr's Model MCQ Question

Type: MCQ-conceptual-Medium-Class 11

In a hydrogen atom, the radius of nᵗʰ Bohr orbit is rₙ. The graph between log(rₙ/r₁) and log n will be

A

Graph with positive slope passing through origin

B

Graph with a curve

C

Graph with a curve

D

Graph with a horizontal line

Correct Answer

Option A

Detailed Explanation

We know that rₙ ∝ n² or (rₙ/r₁) = n². Log(rₙ/r₁) = 2logn. Hence, the graph between log(rₙ/r₁) and log n will be a straight line passing through the origin. The positive slope is given by tanθ = 2.

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