The period `T_0` for a planet of mass 'm' above the sum in a circular orbit of radius R depends on m,R and G where G is the gravitational constant. Find expression for time period by dimensional methods.

Explanation

To find the expression for the time period \( T_0 \) of a planet in a circular orbit around the sun using dimensional analysis, we will follow these steps:

### Step 1: Identify the relevant quantities
We have three quantities involved:
- The mass of the planet \( m \) (with dimensions \([M]\))
- The radius of the orbit \( R \) (with dimensions \([L]\))
- The gravitational constant \( G \) (with dimensions \([M^{-1}L^3T^{-2}]\))

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