The quantity that has dimensions of time is :

Options

A. `(R )/(L)`
B. `(1)/(RC)`
C. `sqrt(LC)`
D. Light year

Explanation

To determine which quantity has dimensions of time, we can analyze the options given in the question. However, since the options are not provided, we will discuss the general approach to find quantities that have dimensions of time.

### Step-by-Step Solution:

1. **Understanding Dimensions**:
- Dimensions of a physical quantity express how that quantity relates to the fundamental quantities: mass (M), length (L), and time (T).
- The dimension of time is denoted as [T].

2. **Identifying Time-Related Quantities**:
- Common quantities that have dimensions of time include:
- Time itself (seconds, minutes, hours, etc.)
- Period of oscillation (T)
- Time constant in RC circuits (τ = RC)
- Any quantity that can be expressed in terms of time (like frequency, which is the inverse of time).

3. **Analyzing Given Equations**:
- The equations mentioned in the transcript involve exponential decay and time constants.
- For example, in the equation \( q = q_0 (1 - e^{-t/RC}) \), the term \( t \) represents time, and \( RC \) is a time constant.

4. **Comparing Dimensions**:
- From the equations, we can derive that \( RC \) has dimensions of time since it is used in the context of time constants.
- Additionally, if we see terms like \( T \) in oscillation equations, they also represent time.

5. **Conclusion**:
- Based on the analysis, the quantities that have dimensions of time include:
- The time variable \( t \)
- Time constants like \( RC \)
- Any derived quantity that can be expressed in terms of time.

### Final Answer:
The quantity that has dimensions of time is \( t \) (time itself) or any time constant like \( RC \).