Concept explainers
(a)
The magnification from a Newtonian reflector with an objective mirror of
(a)
Answer to Problem 23Q
Solution:
222, usually written as
Explanation of Solution
Given data:
Diameter of the objective mirror is
Formula used:
State the expression for the magnification of a reflecting telescope.
Here,
Explanation:
The focal length of the objective mirror is
Since
Refer to the expression for the magnification of a reflecting telescope.
Substitute
Conclusion:
Hence, the magnification from the reflecting mirror with an objective mirror of focal length
(b)
The magnification from a Newtonian reflector with an objective mirror of 20 cm
(b)
Answer to Problem 23Q
Solution:
100, usually written as
Explanation of Solution
Given data:
Diameter of the objective mirror is
Formula used:
State the expression for the magnification of a reflecting telescope.
Here,
Explanation:
The diameter of the objective mirror is
Since
Refer to the expression for the magnification of a reflecting telescope.
Substitute
Conclusion:
Hence, the magnification from a reflecting mirror with an objective mirror of focal length
(c)
The magnification from a Newtonian reflector with an objective mirror of
(c)
Answer to Problem 23Q
Solution:
Explanation of Solution
Given data:
Diameter of the objective mirror is
Formula used:
State the expression for the magnification of a reflecting telescope.
Here,
Explanation:
The diameter of the objective mirror is
Since
Refer to the expression for the magnification of a reflecting telescope.
Substitute
Conclusion:
Hence, the magnification from a reflecting mirror with an objective mirror of focal length
(d)
The telescope’s diffraction-limited angular resolution when orange light of wavelength 600 nm is used.
(d)
Answer to Problem 23Q
Solution:
Explanation of Solution
Given data:
Wavelength of the light used is
Formula used:
State the expression for the diffraction-limited angular diffraction of a telescope.
Here,
Explanation:
The diameter of the objective mirror of the telescope is
Since
Refer to the expression for the diffraction-limited angular diffraction of a telescope.
Substitute
Conclusion:
Hence, the diffraction-limited angular resolution of a telescope when a light of wavelength
(e)
Whether it’s possible to achieve diffraction-limited angular resolution when orange light with a wavelength of
(e)
Answer to Problem 23Q
Solution:
No, we can’t achieve angular resolution, which is equal to
Explanation of Solution
Introduction:
Diffraction-limited angular resolution of a telescope indicates the limit of the telescope up to which it can generate clear images, assuming that diffraction is occurring while the observation is taking place. Any device with a high angular resolution can differentiate minute details of different objects.
Explanation:
As Earth is surrounded by atmosphere, anything that enters through the atmosphere has to pass through the gases present in it.
In the case of diffraction-limited angular resolution of a telescope, a large amount of light gets diffracted before entering the objective mirror of a telescope, therefore, limiting the resolution power of the telescope.
Conclusion:
Hence, we can’t achieve a value of
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