A telescope has an objective of focal length 30 cm and an eyepiece of focal length 3 cm. It is used to focus on an object at a distance of 2 m. Calculate the separation between the objective and the eyepiece for seeing with relaxed eye.

Explanation

To solve the problem, we need to calculate the separation between the objective and the eyepiece of a telescope when focusing on an object at a distance of 2 m. Here are the steps to find the solution:

### Step 1: Convert the object distance to centimeters
The object distance \( u_0 \) is given as 2 m. We need to convert this to centimeters for consistency with the focal lengths provided.

\[ u_0 = 2 \, \text{m} = 200 \, \text{cm} \]
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