Let us consider that our galaxy consists of `2.5xx10^(11)` stars each of one solar mass. How long will this star at a distance of `50,000` light year from the galastic entre take to complete one revolution? Take the diameter of the Milky way to be `10^5ly. G=6.67xx 10^(-11) Nm^(2) Kg^(-2). (1 ly= 9.46xx10^(15)m)`

Explanation

To solve the problem, we will follow these steps:

### Step 1: Calculate the mass of the galaxy in kilograms
Given that the galaxy consists of \(2.5 \times 10^{11}\) stars, each with a mass equal to one solar mass (\(M_{\odot} = 2 \times 10^{30} \, \text{kg}\)), we can calculate the total mass of the galaxy.

\[ M = 2.5 \times 10^{11} \times 2 \times 10^{30} \, \text{kg} = 5.0 \times 10^{41} \, \text{kg} \]
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