If `P` represents radiation pressure , `C` represents the speed of light , and `Q` represents radiation energy striking a unit area per second , then non - zero integers `x, y, z` such that `P^(x) Q^(y) C^(z)` is dimensionless , find the values of `x, y , and z`.

Explanation

To solve the problem, we need to find the values of \( x, y, z \) such that the expression \( P^x Q^y C^z \) is dimensionless. We will start by determining the dimensions of \( P \), \( Q \), and \( C \).

### Step 1: Determine the dimensions of \( P \), \( Q \), and \( C \)

1. **Radiation Pressure \( P \)**:
- The dimension of pressure is given by force per unit area.
- The dimension of force is \( [M L T^{-2}] \).
- Therefore, the dimension of pressure is:
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