Identify the Physical Quantity: Understand the physical quantity for which you need to find the dimensional formula. For example, it could be velocity, force, energy, etc.

Identify the Relevant Variables: Determine the variables that are involved in the physical quantity. For example, velocity depends on distance (length) and time, so its dimensional formula will have length and time as variables.

Write the Equation: Write the equation representing the physical quantity using the identified variables. For example, the equation for velocity is v = d/t, where v is velocity, d is distance, and t is time.

Assign Dimensions to Variables: Assign the dimensions (L for length, T for time, M for mass, etc.) to the variables based on their units. For example, if distance (d) is in meters (m) and time (t) is in seconds (s), then [d] = L and [t] = T.

Use Dimensional Analysis: Substitute the dimensions of the variables into the equation to find the dimensions of the physical quantity. Make sure the dimensions on both sides of the equation are balanced (equal).

Check for Consistency: Ensure that the dimensions obtained are consistent with the known dimensions of the physical quantity. For example, velocity should have dimensions of L/T.

Verify Exponents: If any powers or exponents are present in the equation, make sure they also have consistent dimensions. For example, if you have v^2 in the equation for velocity, the dimension of v^2 should be (L/T)^2.

Practice and Familiarize: With practice, you will become more familiar with common dimensional formulas and patterns. Some physical quantities have well-known dimensional formulas, such as force (F = MA) and energy (E = M * L^2 / T^2). Familiarizing yourself with these will make solving dimensions easier.