For a planet of mass M, moving around the sun in an orbit of radius r, time period T depends on its radius (r ), mass M and universal gravitational constant G and can be written as : `T^(2)= (Kr^(y))/(MG)`. Find the value of y.

Explanation

To find the value of \( y \) in the equation \( T^2 = \frac{K r^y}{MG} \), we will use dimensional analysis. Let's break this down step by step.

### Step 1: Identify the dimensions of each variable
1. **Time period \( T \)** has the dimension of time:
\[ [T] = T^1 \]

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