AIIMS2019Physics-Atomic Structure

AIIMS 2019 Physics Bohr's Model MCQ Question

Type: MCQ-conceptual-Medium-Class 11

An electron is revolving in n = 3 orbit. What will be the magnetic field at the centre of hydrogen atom?

A

0.1 T

B

5 T

C

0.5 T

D

0.05 T

Correct Answer

Option A

Detailed Explanation

The magnetic field BB at the center of a hydrogen atom, where an electron is revolving in the n=3n = 3 orbit, can be calculated using the formula B=μ0I2rB = \frac{\mu_0 I}{2r}, where II is the current due to the electron's motion and rr is the radius of the orbit. For the n=3n = 3 orbit, the current II can be derived from the electron's charge and orbital frequency, resulting in a magnetic field of approximately 0.1T0.1 \, \text{T}. Other options, such as 5T5 \, \text{T}, 0.5T0.5 \, \text{T}, and 0.05T0.05 \, \text{T}, are incorrect as they do not align with the calculated values based on the principles of electromagnetism and quantum mechanics for the hydrogen atom.

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