Magnifying power of a Galilean telescope is given by

Options

A. `f_(o)/(f_(e))(1-f_(e)/D)`
B. `f_(o)/(f_(e))(1+f_(e)/D)`
C. `f_(o)/(f_(e))(1+(2f_(e))/D)`
D. `f_(o)/(f_(e))(1-(2f_(e))/D)`

Explanation

To find the magnifying power of a Galilean telescope, we can follow these steps:

### Step-by-Step Solution:

1. **Understand the Components of a Galilean Telescope**:
- A Galilean telescope consists of two lenses: an objective lens and an eyepiece lens.
- The objective lens has a longer focal length (F₀), while the eyepiece lens has a shorter focal length (Fₑ).

2. **Know the Formula for Magnifying Power**:
- The magnifying power (M) of a Galilean telescope is given by the formula:
\[ M = \frac{F₀}{Fₑ} \left(1 - \frac{Fₑ}{D}\right) \]
- Here, D is the distance between the two lenses.

3. **Identify the Terms in the Formula**:
- F₀: Focal length of the objective lens.
- Fₑ: Focal length of the eyepiece lens.
- D: Distance between the objective and eyepiece lenses.

4. **Analyze the Options Given**:
- The options provided in the question include:
- a) \( \frac{F₀}{Fₑ} \left(1 - \frac{Fₑ}{D}\right) \)
- b) Other options (not specified in the transcript).
- From the transcript, it is indicated that option a) is correct.

5. **Conclusion**:
- Therefore, the magnifying power of a Galilean telescope is given by:
\[ M = \frac{F₀}{Fₑ} \left(1 - \frac{Fₑ}{D}\right) \]