Compare the Astronomical Telescope and Compound Microscope on the basis of the following:
(i) Components
(ii)Magnifying power
Explain with reason whether any one of the above devices can be used as the other device.
(i) Components
An astronomical telescope consists of an objective lens and an eyepiece with a longer focal length, while a compound microscope consists of an objective lens and an eyepiece with a shorter focal length.
Astronomical Telescope: - Used for viewing distant objects. -
Objective lens: Large aperture, long focal length.
Eyepiece lens: Shorter focal length for magnification.
Compound Microscope: - Used for viewing tiny nearby objects. - Components
Objective lens: Short focal length, higher magnification.
Eyepiece lens: Further magnifies the intermediate image.
\[ \boxed{\text{Telescope: Long focal length, Microscope: Short focal length.}} \]
(ii) Magnifying Power % Solution
Solution:
The magnifying power of an astronomical telescope is the ratio of focal lengths, while for a compound microscope, it is the product of magnifications of the objective and eyepiece lenses.
Astronomical Telescope:
\[ \text{Magnifying Power} = \frac{f_{\text{objective}}}{f_{\text{eyepiece}}} \]
Compound Microscope:
\[ \text{Magnifying Power} = m_{\text{objective}} \times m_{\text{eyepiece}} \]
Conclusion: - Telescope magnifies distant objects by collecting more light. - Microscope magnifies small objects by successive magnification.
\[ \boxed{\text{Telescope: Focal length ratio, Microscope: Successive magnification.}} \]
(iii) Can one device be used as the other? % Solution
Solution:
A telescope is designed for distant objects with long focal length, while a microscope is designed for close objects with short focal length. The image formation principles and optical configurations are different, making them unsuitable for interchange.
\[ \text{Thus, one cannot be used as the other.} \]
\[ \boxed{\text{Telescope and microscope serve distinct purposes.}} \]
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