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Rays of light from Sun falls on a biconvex lens of focal length f and the circular image of Sun of radius r is formed on the focal plane of the lens. Then
- a)Area of image is πr2 and area is directly proportional of f
- b)Area of image is πr2 and area is directly proportional to f2
- c)Intensity of image increases if f is increased
- d)If lower half of the lens is covered with black paper area will become half
Correct answer is option 'B'. Can you explain this answer?
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To find the area of the image formed on the focal plane of the lens, we need to determine the size of the circular image of the Sun.
The size of the image can be determined using the formula:
Size of Image = (Size of Object x Distance of Image)/(Distance of Object)
In this case, the size of the Sun is given by its radius r, and the distance of the object is the distance between the Sun and the lens (let's call it d). The distance of the image is the focal length of the lens f.
Therefore, the size of the circular image of the Sun is:
Size of Image = (2r x d)/f
Since the circular image of the Sun has a radius r, the area of the image can be calculated using the formula for the area of a circle:
Area of Image = π x (radius of image)^2
Substituting the value of the radius of the image as 2r/f, we get:
Area of Image = π x [(2r/f)^2]
So, the area of the image formed on the focal plane of the lens is π x [(2r/f)^2].
The size of the image can be determined using the formula:
Size of Image = (Size of Object x Distance of Image)/(Distance of Object)
In this case, the size of the Sun is given by its radius r, and the distance of the object is the distance between the Sun and the lens (let's call it d). The distance of the image is the focal length of the lens f.
Therefore, the size of the circular image of the Sun is:
Size of Image = (2r x d)/f
Since the circular image of the Sun has a radius r, the area of the image can be calculated using the formula for the area of a circle:
Area of Image = π x (radius of image)^2
Substituting the value of the radius of the image as 2r/f, we get:
Area of Image = π x [(2r/f)^2]
So, the area of the image formed on the focal plane of the lens is π x [(2r/f)^2].
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Rays of light from Sun falls on a biconvex lens of focal length f and the circular image of Sun of radius r is formed on the focal plane of the lens. Thena)Area of image is πr2 and area is directly proportional of fb)Area of image is πr2 and area is directly proportional to f2c)Intensity of image increases if f is increasedd)If lower half of the lens is covered with black paper area will become halfCorrect answer is option 'B'. Can you explain this answer?
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Rays of light from Sun falls on a biconvex lens of focal length f and the circular image of Sun of radius r is formed on the focal plane of the lens. Thena)Area of image is πr2 and area is directly proportional of fb)Area of image is πr2 and area is directly proportional to f2c)Intensity of image increases if f is increasedd)If lower half of the lens is covered with black paper area will become halfCorrect answer is option 'B'. Can you explain this answer? for JEE 2024 is part of JEE preparation. The Question and answers have been prepared according to the JEE exam syllabus. Information about Rays of light from Sun falls on a biconvex lens of focal length f and the circular image of Sun of radius r is formed on the focal plane of the lens. Thena)Area of image is πr2 and area is directly proportional of fb)Area of image is πr2 and area is directly proportional to f2c)Intensity of image increases if f is increasedd)If lower half of the lens is covered with black paper area will become halfCorrect answer is option 'B'. Can you explain this answer? covers all topics & solutions for JEE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Rays of light from Sun falls on a biconvex lens of focal length f and the circular image of Sun of radius r is formed on the focal plane of the lens. Thena)Area of image is πr2 and area is directly proportional of fb)Area of image is πr2 and area is directly proportional to f2c)Intensity of image increases if f is increasedd)If lower half of the lens is covered with black paper area will become halfCorrect answer is option 'B'. Can you explain this answer?.
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ample number of questions to practice Rays of light from Sun falls on a biconvex lens of focal length f and the circular image of Sun of radius r is formed on the focal plane of the lens. Thena)Area of image is πr2 and area is directly proportional of fb)Area of image is πr2 and area is directly proportional to f2c)Intensity of image increases if f is increasedd)If lower half of the lens is covered with black paper area will become halfCorrect answer is option 'B'. Can you explain this answer? tests, examples and also practice JEE tests.
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