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A convex lens of focal length 5 cm is to be used as a simple microscope. Where should an object be kept so that image formed by the lens lies at least distance D of distinct vision (D = 25 cm)? Also calculate the magnifying power of this instrument in this set up.
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Objective: To determine the position of the object for a convex lens used as a simple microscope and calculate the magnifying power of the instrument.
Given:
- Focal length of the convex lens, f = 5 cm
- Distance of distinct vision, D = 25 cm
Formula:
- Magnifying power (M) = 1 + (D / f)
Solution:
Position of the Object:
To use a convex lens as a simple microscope, the object should be placed at the least distance of distinct vision (D) from the lens.
Therefore, the object should be kept at a distance of 25 cm from the convex lens.
Magnifying Power:
The magnifying power of a simple microscope is given by the formula:
M = 1 + (D / f)
Substituting the given values:
M = 1 + (25 cm / 5 cm)
M = 1 + 5
M = 6
Therefore, the magnifying power of the instrument in this setup is 6.
Explanation:
- A convex lens can be used as a simple microscope when an object is placed between the lens and its focus.
- In this setup, the object is placed at a distance of 25 cm from the lens, which is the least distance of distinct vision.
- The lens forms an image of the object that can be viewed by the eye placed at the least distance of distinct vision.
- The magnifying power of the microscope is a measure of how much larger the image appears compared to the object when viewed through the microscope.
- In this case, the magnifying power is 6, which means the image appears 6 times larger than the object when viewed through the microscope.
Given:
- Focal length of the convex lens, f = 5 cm
- Distance of distinct vision, D = 25 cm
Formula:
- Magnifying power (M) = 1 + (D / f)
Solution:
Position of the Object:
To use a convex lens as a simple microscope, the object should be placed at the least distance of distinct vision (D) from the lens.
Therefore, the object should be kept at a distance of 25 cm from the convex lens.
Magnifying Power:
The magnifying power of a simple microscope is given by the formula:
M = 1 + (D / f)
Substituting the given values:
M = 1 + (25 cm / 5 cm)
M = 1 + 5
M = 6
Therefore, the magnifying power of the instrument in this setup is 6.
Explanation:
- A convex lens can be used as a simple microscope when an object is placed between the lens and its focus.
- In this setup, the object is placed at a distance of 25 cm from the lens, which is the least distance of distinct vision.
- The lens forms an image of the object that can be viewed by the eye placed at the least distance of distinct vision.
- The magnifying power of the microscope is a measure of how much larger the image appears compared to the object when viewed through the microscope.
- In this case, the magnifying power is 6, which means the image appears 6 times larger than the object when viewed through the microscope.
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A convex lens of focal length 5 cm is to be used as a simple microscope. Where should an object be kept so that image formed by the lens lies at least distance D of distinct vision (D = 25 cm)? Also calculate the magnifying power of this instrument in this set up.
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A convex lens of focal length 5 cm is to be used as a simple microscope. Where should an object be kept so that image formed by the lens lies at least distance D of distinct vision (D = 25 cm)? Also calculate the magnifying power of this instrument in this set up. for JEE 2024 is part of JEE preparation. The Question and answers have been prepared according to the JEE exam syllabus. Information about A convex lens of focal length 5 cm is to be used as a simple microscope. Where should an object be kept so that image formed by the lens lies at least distance D of distinct vision (D = 25 cm)? Also calculate the magnifying power of this instrument in this set up. covers all topics & solutions for JEE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A convex lens of focal length 5 cm is to be used as a simple microscope. Where should an object be kept so that image formed by the lens lies at least distance D of distinct vision (D = 25 cm)? Also calculate the magnifying power of this instrument in this set up..
A convex lens of focal length 5 cm is to be used as a simple microscope. Where should an object be kept so that image formed by the lens lies at least distance D of distinct vision (D = 25 cm)? Also calculate the magnifying power of this instrument in this set up. for JEE 2024 is part of JEE preparation. The Question and answers have been prepared according to the JEE exam syllabus. Information about A convex lens of focal length 5 cm is to be used as a simple microscope. Where should an object be kept so that image formed by the lens lies at least distance D of distinct vision (D = 25 cm)? Also calculate the magnifying power of this instrument in this set up. covers all topics & solutions for JEE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A convex lens of focal length 5 cm is to be used as a simple microscope. Where should an object be kept so that image formed by the lens lies at least distance D of distinct vision (D = 25 cm)? Also calculate the magnifying power of this instrument in this set up..
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