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A compound microscope is an optical instrument used for observing highly magnified images of tiny objects. Magnifying power of a compound microscope is defined as the ratio of the angle subtended at the eye by the final image to the angle subtended at the eye by the object, when both the final image and the objects are situated at the least distance of distinct vision from the eye. It can be given that: m=me x mo, where me is the magnification produced by the eye lens and mo is the magnification produced by the objective lens.
Consider a compound microscope that consists of an objective lens of focal length 2.0 cm and an eyepiece of focal length 6.25 cm separated by a distance of 15 cm.
Q. What is the magnifying power of the microscope in case of least distinct vision?
  • a)
    20
  • b)
    30
  • c)
    40
  • d)
    50
Correct answer is option 'A'. Can you explain this answer?
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A compound microscope is an optical instrument used for observing hig...
The microscope is focused on a certain object. The distance between the objective and eyepiece is observed to be 14cm. If the least distance of distinct vision is 20cm.
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A compound microscope is an optical instrument used for observing hig...
Objective:
To calculate the magnifying power of a compound microscope when the objects and the final image are at the least distance of distinct vision.

Given:
Focal length of the objective lens (fo) = 2.0 cm
Focal length of the eyepiece (fe) = 6.25 cm
Distance between the objective lens and the eyepiece (d) = 15 cm

Formula:
Magnifying power (m) = me x mo
where me is the magnification produced by the eyepiece and mo is the magnification produced by the objective lens.

Analysis:
To calculate the magnifying power of the microscope, we need to calculate the individual magnifications produced by the objective lens and the eyepiece.

Calculation:
The magnification produced by the objective lens (mo) can be calculated using the formula:
mo = -d / fo
mo = -15 cm / 2.0 cm
mo = -7.5

The magnification produced by the eyepiece (me) can be calculated using the formula:
me = 1 + (d / fe)
me = 1 + 15 cm / 6.25 cm
me = 1 + 2.4
me = 3.4

Therefore, the magnifying power (m) of the compound microscope is:
m = me x mo
m = 3.4 x -7.5
m = -25.5

Since magnifying power cannot be negative, we take the magnitude of the magnifying power:
|m| = |-25.5|
|m| = 25.5

Conclusion:
The magnifying power of the microscope, when the objects and the final image are at the least distance of distinct vision, is 25.5.
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A compound microscope is an optical instrument used for observing highly magnified images of tiny objects. Magnifying power of a compound microscope is defined as the ratio of the angle subtended at the eye by the final image to the angle subtended at the eye by the object, when both the final image and the objects are situated at the least distance of distinct vision from the eye. It can be given that: m=me x mo, where me is the magnification produced by the eye lens and mo is the magnification produced by the objective lens.Consider a compound microscope that consists of an objective lens of focal length 2.0 cm and an eyepiece of focal length 6.25 cm separated by a distance of 15 cm.Q. What is the magnifying power of the microscope in case of least distinct vision?a)20b)30c)40d)50Correct answer is option 'A'. Can you explain this answer?
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A compound microscope is an optical instrument used for observing highly magnified images of tiny objects. Magnifying power of a compound microscope is defined as the ratio of the angle subtended at the eye by the final image to the angle subtended at the eye by the object, when both the final image and the objects are situated at the least distance of distinct vision from the eye. It can be given that: m=me x mo, where me is the magnification produced by the eye lens and mo is the magnification produced by the objective lens.Consider a compound microscope that consists of an objective lens of focal length 2.0 cm and an eyepiece of focal length 6.25 cm separated by a distance of 15 cm.Q. What is the magnifying power of the microscope in case of least distinct vision?a)20b)30c)40d)50Correct answer is option 'A'. Can you explain this answer? for Class 12 2024 is part of Class 12 preparation. The Question and answers have been prepared according to the Class 12 exam syllabus. Information about A compound microscope is an optical instrument used for observing highly magnified images of tiny objects. Magnifying power of a compound microscope is defined as the ratio of the angle subtended at the eye by the final image to the angle subtended at the eye by the object, when both the final image and the objects are situated at the least distance of distinct vision from the eye. It can be given that: m=me x mo, where me is the magnification produced by the eye lens and mo is the magnification produced by the objective lens.Consider a compound microscope that consists of an objective lens of focal length 2.0 cm and an eyepiece of focal length 6.25 cm separated by a distance of 15 cm.Q. What is the magnifying power of the microscope in case of least distinct vision?a)20b)30c)40d)50Correct answer is option 'A'. Can you explain this answer? covers all topics & solutions for Class 12 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A compound microscope is an optical instrument used for observing highly magnified images of tiny objects. Magnifying power of a compound microscope is defined as the ratio of the angle subtended at the eye by the final image to the angle subtended at the eye by the object, when both the final image and the objects are situated at the least distance of distinct vision from the eye. It can be given that: m=me x mo, where me is the magnification produced by the eye lens and mo is the magnification produced by the objective lens.Consider a compound microscope that consists of an objective lens of focal length 2.0 cm and an eyepiece of focal length 6.25 cm separated by a distance of 15 cm.Q. What is the magnifying power of the microscope in case of least distinct vision?a)20b)30c)40d)50Correct answer is option 'A'. Can you explain this answer?.
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