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An object is placed at a distance of 80 cm from a screen. Where should a convex lens of focal length 15 cm be placed so as to obtain a real image of the object?
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An object is placed at a distance of 80 cm from a screen. Where should...
Answer:
To obtain a real image of the object placed at a distance of 80 cm from a screen, we need to place a convex lens of focal length 15 cm at a certain distance from the object.
Formula:
The formula to find the distance of the object from the lens is:
1/f = 1/v - 1/u
Where,
f = focal length of the convex lens
v = distance of the image from the lens
u = distance of the object from the lens
Steps:
1. Identify the given values:
Distance of the object from the screen (u) = 80 cm
Focal length of the convex lens (f) = 15 cm
2. Substitute the values in the formula:
1/15 = 1/v - 1/80
3. Solve for v:
1/v = 1/15 + 1/80
1/v = (16 + 1)/240
1/v = 17/240
v = 240/17
Therefore, the distance of the image from the lens (v) is 14.11 cm.
4. Find the distance of the lens from the object:
Using the formula:
1/f = 1/v - 1/u
1/15 = 1/14.11 - 1/u
1/u = 1/14.11 - 1/15
1/u = (15 - 14.11)/(14.11 * 15)
1/u = 0.006
u = 166.66 cm
Therefore, the distance of the lens from the object (u) is 166.66 cm.
Conclusion:
To obtain a real image of the object placed at a distance of 80 cm from a screen, we need to place a convex lens of focal length 15 cm at a distance of 166.66 cm from the object.
To obtain a real image of the object placed at a distance of 80 cm from a screen, we need to place a convex lens of focal length 15 cm at a certain distance from the object.
Formula:
The formula to find the distance of the object from the lens is:
1/f = 1/v - 1/u
Where,
f = focal length of the convex lens
v = distance of the image from the lens
u = distance of the object from the lens
Steps:
1. Identify the given values:
Distance of the object from the screen (u) = 80 cm
Focal length of the convex lens (f) = 15 cm
2. Substitute the values in the formula:
1/15 = 1/v - 1/80
3. Solve for v:
1/v = 1/15 + 1/80
1/v = (16 + 1)/240
1/v = 17/240
v = 240/17
Therefore, the distance of the image from the lens (v) is 14.11 cm.
4. Find the distance of the lens from the object:
Using the formula:
1/f = 1/v - 1/u
1/15 = 1/14.11 - 1/u
1/u = 1/14.11 - 1/15
1/u = (15 - 14.11)/(14.11 * 15)
1/u = 0.006
u = 166.66 cm
Therefore, the distance of the lens from the object (u) is 166.66 cm.
Conclusion:
To obtain a real image of the object placed at a distance of 80 cm from a screen, we need to place a convex lens of focal length 15 cm at a distance of 166.66 cm from the object.
Community Answer
An object is placed at a distance of 80 cm from a screen. Where should...
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An object is placed at a distance of 80 cm from a screen. Where should a convex lens of focal length 15 cm be placed so as to obtain a real image of the object?
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An object is placed at a distance of 80 cm from a screen. Where should a convex lens of focal length 15 cm be placed so as to obtain a real image of the object? for NEET 2024 is part of NEET preparation. The Question and answers have been prepared according to the NEET exam syllabus. Information about An object is placed at a distance of 80 cm from a screen. Where should a convex lens of focal length 15 cm be placed so as to obtain a real image of the object? covers all topics & solutions for NEET 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for An object is placed at a distance of 80 cm from a screen. Where should a convex lens of focal length 15 cm be placed so as to obtain a real image of the object?.
An object is placed at a distance of 80 cm from a screen. Where should a convex lens of focal length 15 cm be placed so as to obtain a real image of the object? for NEET 2024 is part of NEET preparation. The Question and answers have been prepared according to the NEET exam syllabus. Information about An object is placed at a distance of 80 cm from a screen. Where should a convex lens of focal length 15 cm be placed so as to obtain a real image of the object? covers all topics & solutions for NEET 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for An object is placed at a distance of 80 cm from a screen. Where should a convex lens of focal length 15 cm be placed so as to obtain a real image of the object?.
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