Choose correct option out of following with increase in n
where T is time period and v is velocity of an electron.

Options

A. T increases and v decreases
B. T and v decreases
C. T decreases and v increases
D. T and v both decrease

Explanation

To solve the problem, we need to analyze how the time period (T) and the velocity (v) of an electron change as the principal quantum number (n) increases in the context of the Bohr model of the atom.

### Step-by-Step Solution:

1. **Understanding the Velocity of the Electron (v)**:
- According to the Bohr model, the velocity (v) of an electron in a hydrogen atom is given by the formula:
\[
v = \frac{2.18 \times 10^6 \, \text{m/s} \cdot Z}{n}
...