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An object 50 cm tall is placed on the principal axis of a convex lens. A 20 cm tall image is formed on the scren placed at a distance of 10 cm from the lens. Calculate the focal length of the lens.?
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An object 50 cm tall is placed on the principal axis of a convex lens....
Calculation of the focal length of convex lens
Given:
- Object height (h) = 50 cm
- Image height (h') = 20 cm
- Distance of screen from lens (v) = 10 cm
Formula:
The focal length (f) of a convex lens can be calculated using the formula:
1/f = 1/v - 1/u
Where u = object distance from lens
Calculation:
- Given object height is 50 cm and image height is 20 cm. The magnification (m) of the lens can be calculated as:
m = h'/h
m = 20/50
m = 0.4
- Magnification can also be calculated using the formula:
m = -v/u
where v = 10 cm (distance of screen from lens)
and u = object distance from lens
0.4 = -10/u
u = -10/0.4
u = -25 cm (the negative sign indicates that the object is on the opposite side of the lens)
- Using the formula for focal length:
1/f = 1/v - 1/u
1/f = 1/10 - (-1/25)
1/f = 0.15
f = 1/0.15
f = 6.67 cm
Answer:
The focal length of the convex lens is 6.67 cm.
Given:
- Object height (h) = 50 cm
- Image height (h') = 20 cm
- Distance of screen from lens (v) = 10 cm
Formula:
The focal length (f) of a convex lens can be calculated using the formula:
1/f = 1/v - 1/u
Where u = object distance from lens
Calculation:
- Given object height is 50 cm and image height is 20 cm. The magnification (m) of the lens can be calculated as:
m = h'/h
m = 20/50
m = 0.4
- Magnification can also be calculated using the formula:
m = -v/u
where v = 10 cm (distance of screen from lens)
and u = object distance from lens
0.4 = -10/u
u = -10/0.4
u = -25 cm (the negative sign indicates that the object is on the opposite side of the lens)
- Using the formula for focal length:
1/f = 1/v - 1/u
1/f = 1/10 - (-1/25)
1/f = 0.15
f = 1/0.15
f = 6.67 cm
Answer:
The focal length of the convex lens is 6.67 cm.
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An object 50 cm tall is placed on the principal axis of a convex lens. A 20 cm tall image is formed on the scren placed at a distance of 10 cm from the lens. Calculate the focal length of the lens.?
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An object 50 cm tall is placed on the principal axis of a convex lens. A 20 cm tall image is formed on the scren placed at a distance of 10 cm from the lens. Calculate the focal length of the lens.? 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 An object 50 cm tall is placed on the principal axis of a convex lens. A 20 cm tall image is formed on the scren placed at a distance of 10 cm from the lens. Calculate the focal length of the lens.? covers all topics & solutions for Class 10 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for An object 50 cm tall is placed on the principal axis of a convex lens. A 20 cm tall image is formed on the scren placed at a distance of 10 cm from the lens. Calculate the focal length of the lens.?.
An object 50 cm tall is placed on the principal axis of a convex lens. A 20 cm tall image is formed on the scren placed at a distance of 10 cm from the lens. Calculate the focal length of the lens.? 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 An object 50 cm tall is placed on the principal axis of a convex lens. A 20 cm tall image is formed on the scren placed at a distance of 10 cm from the lens. Calculate the focal length of the lens.? covers all topics & solutions for Class 10 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for An object 50 cm tall is placed on the principal axis of a convex lens. A 20 cm tall image is formed on the scren placed at a distance of 10 cm from the lens. Calculate the focal length of the lens.?.
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