Dimensional Analysis

Muscle speed power
Muscle

mass acceleration force
Hence,

Step 1: Dimensional analysis.
In dimensional analysis, we express each physical quantity in terms of its fundamental dimensions: mass , length , and time . The dimensions of the variables are: - (gravitational constant) - (mass) - (speed of light) We need to find the dimensions of . Let the dimensions of be (since area is in terms of length squared).
Step 2: Set up the equation.
We are given the equation , and we need to equate the dimensions of both sides: Now, expanding and simplifying the dimensions: Simplifying the powers of , , and :
Step 3: Compare powers.
Equating the powers of , , and on both sides: - For , - For , - For ,
Step 4: Solve the system of equations.
From the equations: - - - Thus, , , and .
Step 5: Conclusion.
Therefore, the correct answer is (2) .