Answer
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Hint: In order to solve this question, use the relation between focal length of both objective fo, focal length of eyepiece fe and the tube length L. If the tube length changes then the image formation between optic center and focus.
Complete step by step solution:
In normal adjustment, tube length (L) of an astronomical telescope is \[\left( {\mathop f\nolimits_o \, + \mathop f\nolimits_e } \right)\] --- (1)
Where \[{f_o}\] is the focal length of the objective lens \[{f_e}\] is the focal length of the eyepiece
In normal adjustment, tube length (L) of Galilean telescope is \[\left( {\mathop f\nolimits_o \, - \mathop f\nolimits_e } \right)\] ---- (2)
The magnification for both telescopes is
\[m = \dfrac{{\mathop f\nolimits_o }}{{\mathop f\nolimits_e }}\] Here \[l = 2{f_o}\]
From the equation (1) & (2)
The table length of both telescope differ by 2f
\[l = {f_o} + {{f}_e} + {f_o} - {{f}_e}\]
\[l = 2{f_o}\]
Also the Galilean telescope has shorter tube length compared to the astronomical telescope.
Hence, (b) and (c) options are correct.
Note: There are two types of telescope that are refracting and reflecting, that we use to observe the image by using visible light. But astronomical telescopes are generally used to observe celestial bodies. Galilean telescope, instrument for viewing distant objects.
Complete step by step solution:
In normal adjustment, tube length (L) of an astronomical telescope is \[\left( {\mathop f\nolimits_o \, + \mathop f\nolimits_e } \right)\] --- (1)
Where \[{f_o}\] is the focal length of the objective lens \[{f_e}\] is the focal length of the eyepiece
In normal adjustment, tube length (L) of Galilean telescope is \[\left( {\mathop f\nolimits_o \, - \mathop f\nolimits_e } \right)\] ---- (2)
The magnification for both telescopes is
\[m = \dfrac{{\mathop f\nolimits_o }}{{\mathop f\nolimits_e }}\] Here \[l = 2{f_o}\]
From the equation (1) & (2)
The table length of both telescope differ by 2f
\[l = {f_o} + {{f}_e} + {f_o} - {{f}_e}\]
\[l = 2{f_o}\]
Also the Galilean telescope has shorter tube length compared to the astronomical telescope.
Hence, (b) and (c) options are correct.
Note: There are two types of telescope that are refracting and reflecting, that we use to observe the image by using visible light. But astronomical telescopes are generally used to observe celestial bodies. Galilean telescope, instrument for viewing distant objects.
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