Dimensional formula for n=[L-2T-1]

The dimensional formula for n=[L-2T-1] represents a mathematical equation that expresses the dimensions of a physical quantity called 'n'. In this equation, 'L' represents length, 'T' represents time, and the numbers outside the brackets indicate the exponent or power to which each dimension is raised.

To understand the dimensional formula for n=[L-2T-1] in detail, let's break it down into its components:

1. Length (L):
- Length is a fundamental physical quantity that represents the extent of a one-dimensional object.
- Its dimensional formula is denoted by [L].

2. Time (T):
- Time is another fundamental physical quantity that measures the duration of events.
- Its dimensional formula is denoted by [T].

3. Exponents:
- The exponents or powers associated with each dimension indicate the number of times that dimension is multiplied.
- In the given equation, the length 'L' is raised to the power of 1, time 'T' is raised to the power of -2, and the number 1 is outside the brackets.

4. Interpretation:
- The dimensional formula n=[L-2T-1] can be interpreted as a derived quantity that depends on length, time, and a constant (1).
- The power of -2 for the time dimension implies that time is in the denominator, indicating an inverse relationship with 'n'.
- The power of 1 for the length dimension indicates a direct relationship with 'n'.

To summarize, the dimensional formula n=[L-2T-1] represents a derived quantity 'n' that depends on length and time. The power of -2 for time implies an inverse relationship, while the power of 1 for length indicates a direct relationship. The constant 1 outside the brackets signifies that it is a dimensionless constant.