Choose correct option out of the following with increase in n.
(a)T increases and v decreases
(b)T and V both increase
(c )T decreases and v increase
(d)T and V both decrease
where T is time period and v is velocity of an electron

Explanation

To solve the question, we need to analyze the behavior of the time period (T) and the velocity (v) of an electron in an atom as the principal quantum number (n) increases.

### Step-by-Step Solution:

1. **Understanding the Relationship of Velocity (v) with n**:
- The velocity of an electron in an orbit is given by the formula:
\[
v = \frac{2.18 \times 10^6 \, \text{m/s} \cdot Z}{n}
...