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The numerical value of the length of Gal...

The numerical value of the length of Galilean telescope for normal vision is (assuming `f_0` and `f_e` as positive length)

A

`f_(0)xxf_(e)`

B

`(f_(0))/(f_(e))`

C

`f_(0)+f_(e)`

D

`f_(0)-f_(e)`

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To find the numerical value of the length of a Galilean telescope for normal vision, we can follow these steps: ### Step-by-Step Solution: 1. **Understand the Components of the Galilean Telescope**: - A Galilean telescope consists of two lenses: a convex lens (the objective) and a concave lens (the eyepiece). - The focal length of the objective lens is denoted as \( f_0 \) (positive value). - The focal length of the eyepiece (concave lens) is denoted as \( f_e \) (considered negative in sign convention). 2. **Identify the Formula for Length**: - The length \( L \) of the Galilean telescope is given by the difference between the focal lengths of the objective and the eyepiece: \[ L = f_0 - f_e \] 3. **Substituting the Focal Lengths**: - Since \( f_e \) is the focal length of a concave lens, it is negative. However, in this case, the problem states to consider \( f_e \) as a positive length. - Therefore, we can rewrite the formula as: \[ L = f_0 - (-f_e) = f_0 + f_e \] 4. **Conclusion**: - The length of the Galilean telescope for normal vision, considering \( f_0 \) as positive and \( f_e \) as positive, is: \[ L = f_0 + f_e \] ### Final Answer: The numerical value of the length of the Galilean telescope for normal vision is \( L = f_0 + f_e \).

To find the numerical value of the length of a Galilean telescope for normal vision, we can follow these steps: ### Step-by-Step Solution: 1. **Understand the Components of the Galilean Telescope**: - A Galilean telescope consists of two lenses: a convex lens (the objective) and a concave lens (the eyepiece). - The focal length of the objective lens is denoted as \( f_0 \) (positive value). - The focal length of the eyepiece (concave lens) is denoted as \( f_e \) (considered negative in sign convention). ...
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