What would be the ratio of product of velocity and time period of electron orbiting in `2^"nd"` and `3^"rd"` stable orbits ?

Explanation

To find the ratio of the product of velocity and time period of an electron orbiting in the 2nd and 3rd stable orbits, we can follow these steps:

### Step 1: Understand the relationship between time period (T), velocity (v), and radius (r)
The time period \( T \) for an electron revolving in a circular orbit is given by the formula:
\[ T = \frac{2\pi r}{v} \]
From this, we can express the product of velocity and time period:
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