Concept explainers
(a)
Magnification of the telescope for the given conditions.
Answer to Problem 23Q
Magnification of the telescope is
Explanation of Solution
Given data:
Focal length of the objective lens,
Focal length of the eyepiece lens,
Formula used:
The magnification power of the telescope is given as
Calculation:
The magnification power of the telescope is given as
Plugging the values in the above equation
Conclusion:
Magnification of the telescope is
(b)
Magnification of the telescope for the given conditions.
Answer to Problem 23Q
Magnification of the telescope is
Explanation of Solution
Given data:
Focal length of the objective lens,
Focal length of the eyepiece lens,
Formula used:
The magnification power of the telescope is given as
Calculation:
The magnification power of the telescope is given as
Plugging the values in the above equation
Conclusion:
Magnification of the telescope is
(c)
Magnification of the telescope for the given conditions.
Answer to Problem 23Q
Magnification of the telescope is
Explanation of Solution
Given data:
Focal length of the objective lens,
Focal length of the eyepiece lens,
Formula used:
The magnification power of the telescope is given as
Calculation:
The magnification power of the telescope is given as
Plugging the values in the above equation
Conclusion:
Magnification of the telescope is
(d)
The diffraction- limited angular resolution of the telescope for the given conditions.
Answer to Problem 23Q
The diffraction- limited angular resolution of the telescope is
Explanation of Solution
Given data:
Diameter of the objective mirror = 20 cm = 0.20 m
Wavelength,
Formula used:
The angular resolution of the telescope (in arc-second) is given by the formula
Here,
Calculation:
The angular resolution of the telescope is given by the formula
Plugging the values in the above equation
Conclusion:
Angular resolution of the telescope is
(e)
Whether or not the angular resolution of the telescope change if one took the telescope to the summit of Mauna Kea.
Answer to Problem 23Q
The angular resolution of the telescope would be same
Explanation of Solution
Given data:
Focal length of the objective lens,
Wavelength,
Formula used:
The angular resolution of the telescope (in arc-second) is given by the formula
Here,
Calculation:
The angular resolution of the telescope is given by the formula
We can observe from the above formula that the angular resolution does not depend on the positon of the telescope. Therefore, there would be no change in the angular resolution of the telescope.
Conclusion:
Thus, the angular resolution of the telescope would be same even if one took the telescope to the summit of Mauna Kea.
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