NEETPhysics-Atomic Structure

NEET Physics Bohr Model MCQ Question

Type: MCQ-numerical-Medium-Class 11

If radius of second Bohr orbit of the He⁺ ion is 105.8 pm, what is the radius of third Bohr orbit of Li²⁺ ion?

A

158.7 pm

B

15.87 pm

C

587 pm

D

158.7 Å

Correct Answer

Option A

Detailed Explanation

The radius of the nth orbit in a hydrogen-like ion is given by r = n²h²/4π²me²Z. For Li²⁺, Z = 3 and n = 3. Using the given radius for He⁺, the calculation shows the radius for Li²⁺ is 158.7 pm.

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