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A convex lens produces a real image of same size as the object when the object is placed at a distance of 20cm from the lens calculate the power of the lens and draw the ray diagram showing the formation of image?
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A convex lens produces a real image of same size as the object when th...
Calculation of Lens Power:
- Given that the object distance (u) = -20 cm
- Since the image is real and of the same size, the image distance (v) = -20 cm
- The formula for the lens power is P = 1/f, where f is the focal length of the lens
- Using the lens formula, 1/f = 1/v - 1/u
- Substituting the values, we get 1/f = 1/(-20) - 1/(-20) = -1/20
- Therefore, the power of the lens is P = -20 diopters
Ray Diagram:
- Draw a convex lens with its principal axis and focal points marked
- Place the object (arrow) on the principal axis at a distance of 20 cm from the lens
- Draw three incident rays from the tip of the object: one parallel to the principal axis, one through the optical center of the lens, and one through the focal point on the opposite side
- These rays will converge on the other side of the lens to form a real and inverted image of the same size as the object at a distance of 20 cm
By following these steps, you can calculate the power of the lens and draw a ray diagram to show the formation of the image when the object is placed at a distance of 20 cm from the lens.
- Given that the object distance (u) = -20 cm
- Since the image is real and of the same size, the image distance (v) = -20 cm
- The formula for the lens power is P = 1/f, where f is the focal length of the lens
- Using the lens formula, 1/f = 1/v - 1/u
- Substituting the values, we get 1/f = 1/(-20) - 1/(-20) = -1/20
- Therefore, the power of the lens is P = -20 diopters
Ray Diagram:
- Draw a convex lens with its principal axis and focal points marked
- Place the object (arrow) on the principal axis at a distance of 20 cm from the lens
- Draw three incident rays from the tip of the object: one parallel to the principal axis, one through the optical center of the lens, and one through the focal point on the opposite side
- These rays will converge on the other side of the lens to form a real and inverted image of the same size as the object at a distance of 20 cm
By following these steps, you can calculate the power of the lens and draw a ray diagram to show the formation of the image when the object is placed at a distance of 20 cm from the lens.
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A convex lens produces a real image of same size as the object when the object is placed at a distance of 20cm from the lens calculate the power of the lens and draw the ray diagram showing the formation of image?
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A convex lens produces a real image of same size as the object when the object is placed at a distance of 20cm from the lens calculate the power of the lens and draw the ray diagram showing the formation of image? for UPSC 2024 is part of UPSC preparation. The Question and answers have been prepared according to the UPSC exam syllabus. Information about A convex lens produces a real image of same size as the object when the object is placed at a distance of 20cm from the lens calculate the power of the lens and draw the ray diagram showing the formation of image? covers all topics & solutions for UPSC 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A convex lens produces a real image of same size as the object when the object is placed at a distance of 20cm from the lens calculate the power of the lens and draw the ray diagram showing the formation of image?.
A convex lens produces a real image of same size as the object when the object is placed at a distance of 20cm from the lens calculate the power of the lens and draw the ray diagram showing the formation of image? for UPSC 2024 is part of UPSC preparation. The Question and answers have been prepared according to the UPSC exam syllabus. Information about A convex lens produces a real image of same size as the object when the object is placed at a distance of 20cm from the lens calculate the power of the lens and draw the ray diagram showing the formation of image? covers all topics & solutions for UPSC 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A convex lens produces a real image of same size as the object when the object is placed at a distance of 20cm from the lens calculate the power of the lens and draw the ray diagram showing the formation of image?.
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