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If we need magnification of 375 from a microscope of tube length 15 cm and objective of focal length 0.5 cm, what focal length of eye-piece should we use?
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If we need magnification of 375 from a microscope of tube length 15 cm...
Magnification m = 375
Length of the tube L = 15 cm
Focal length of the objective fo = 0.5 cm
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If we need magnification of 375 from a microscope of tube length 15 cm...
Magnification of the Microscope:
To determine the focal length of the eyepiece, we first need to calculate the magnification of the microscope. The magnification of a compound microscope is given by the product of the magnification of the objective lens and the eyepiece lens.
Magnification of the Objective Lens:
The magnification of the objective lens can be calculated using the formula:
Magnification = (Length of tube) / (Focal length of objective)
Given that the length of the tube is 15 cm and the focal length of the objective lens is 0.5 cm, we can substitute these values into the formula to find the magnification of the objective lens:
Magnification of the Objective Lens = 15 cm / 0.5 cm = 30x
Magnification of the Eyepiece Lens:
The total magnification of the microscope is the product of the magnification of the objective lens and the eyepiece lens. We are given that the total magnification required is 375x. Therefore, we can calculate the magnification of the eyepiece lens:
Magnification of the Eyepiece Lens = Total Magnification / Magnification of the Objective Lens
Magnification of the Eyepiece Lens = 375x / 30x = 12.5x
Determining the Focal Length of the Eyepiece Lens:
To determine the focal length of the eyepiece lens, we need to use the magnification formula for lenses:
Magnification = (Focal length of the objective) / (Focal length of the eyepiece)
Substituting the known values:
12.5x = 0.5 cm / Focal length of the eyepiece
Solving for the focal length of the eyepiece:
Focal length of the eyepiece = 0.5 cm / 12.5x = 0.04 cm
Conclusion:
To achieve a magnification of 375x from a microscope with a tube length of 15 cm and an objective lens with a focal length of 0.5 cm, we should use an eyepiece lens with a focal length of 0.04 cm.
To determine the focal length of the eyepiece, we first need to calculate the magnification of the microscope. The magnification of a compound microscope is given by the product of the magnification of the objective lens and the eyepiece lens.
Magnification of the Objective Lens:
The magnification of the objective lens can be calculated using the formula:
Magnification = (Length of tube) / (Focal length of objective)
Given that the length of the tube is 15 cm and the focal length of the objective lens is 0.5 cm, we can substitute these values into the formula to find the magnification of the objective lens:
Magnification of the Objective Lens = 15 cm / 0.5 cm = 30x
Magnification of the Eyepiece Lens:
The total magnification of the microscope is the product of the magnification of the objective lens and the eyepiece lens. We are given that the total magnification required is 375x. Therefore, we can calculate the magnification of the eyepiece lens:
Magnification of the Eyepiece Lens = Total Magnification / Magnification of the Objective Lens
Magnification of the Eyepiece Lens = 375x / 30x = 12.5x
Determining the Focal Length of the Eyepiece Lens:
To determine the focal length of the eyepiece lens, we need to use the magnification formula for lenses:
Magnification = (Focal length of the objective) / (Focal length of the eyepiece)
Substituting the known values:
12.5x = 0.5 cm / Focal length of the eyepiece
Solving for the focal length of the eyepiece:
Focal length of the eyepiece = 0.5 cm / 12.5x = 0.04 cm
Conclusion:
To achieve a magnification of 375x from a microscope with a tube length of 15 cm and an objective lens with a focal length of 0.5 cm, we should use an eyepiece lens with a focal length of 0.04 cm.
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If we need magnification of 375 from a microscope of tube length 15 cm and objective of focal length 0.5 cm, what focal length of eye-piece should we use?
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If we need magnification of 375 from a microscope of tube length 15 cm and objective of focal length 0.5 cm, what focal length of eye-piece should we use? for Class 10 2024 is part of Class 10 preparation. The Question and answers have been prepared according to the Class 10 exam syllabus. Information about If we need magnification of 375 from a microscope of tube length 15 cm and objective of focal length 0.5 cm, what focal length of eye-piece should we use? covers all topics & solutions for Class 10 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for If we need magnification of 375 from a microscope of tube length 15 cm and objective of focal length 0.5 cm, what focal length of eye-piece should we use?.
If we need magnification of 375 from a microscope of tube length 15 cm and objective of focal length 0.5 cm, what focal length of eye-piece should we use? for Class 10 2024 is part of Class 10 preparation. The Question and answers have been prepared according to the Class 10 exam syllabus. Information about If we need magnification of 375 from a microscope of tube length 15 cm and objective of focal length 0.5 cm, what focal length of eye-piece should we use? covers all topics & solutions for Class 10 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for If we need magnification of 375 from a microscope of tube length 15 cm and objective of focal length 0.5 cm, what focal length of eye-piece should we use?.
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