Question

The time period of revolution of an electron in an orbit of principal quantum number $ n $ is $ T $. If the relation between time period and principal quantum number is $ T \propto n^3 $, then $ x = $

• A. 1
• B. 2
• C. \( \frac{1}{2} \)
• D. \( \frac{1}{3} \)

Hint:

For electron orbits, the time period is proportional to the cube of the principal quantum number.

Answer 1

The Correct Option is D

The time period \( T \) of an electron in an orbit is related to the principal quantum number \( n \) by: \[ T \propto n^3 \]
Thus, for \( T \propto n^3 \), the value of \( x \) is \( \frac{1}{3} \).