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The image of the sun is formed on the photosensitive metal with a convex lens and the photoelectric current is I . If the lens is replaced by another similar lens of half the diameter and double the focal length, then photoelectric current will be
  • a)
    I
  • b)
    I/4
  • c)
    I/8
  • d)
    I/16
Correct answer is option 'D'. Can you explain this answer?
Most Upvoted Answer
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Community Answer
The image of the sun is formed on the photosensitive metal with a conv...
Explanation:

Effect of changing lens on photoelectric current:
- When the lens is replaced by another similar lens of half the diameter and double the focal length, the image of the sun formed on the photosensitive metal will be dimmer and larger.
- The intensity of light on the metal will decrease as the area of the image increases due to the change in lens.

Relation between photoelectric current and intensity:
- The photoelectric current is directly proportional to the intensity of light falling on the metal.
- As the intensity decreases due to the larger image formed with the new lens, the photoelectric current will also decrease.

Mathematical relation:
- The intensity of light is inversely proportional to the square of the focal length of the lens.
- Since the new lens has double the focal length, the intensity of light will decrease by a factor of 4 (2^2).

Calculation of photoelectric current:
- If the intensity decreases by a factor of 4, the photoelectric current will also decrease by the same factor.
- Therefore, the new photoelectric current will be I/16, where I is the original photoelectric current.
Therefore, the correct answer is option 'd) I/16'.
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The image of the sun is formed on the photosensitive metal with a convex lens and the photoelectric current is I . If the lens is replaced by another similar lens of half the diameter and double the focal length, then photoelectric current will bea) I b) I/4 c) I/8 d) I/16 Correct answer is option 'D'. Can you explain this answer?
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The image of the sun is formed on the photosensitive metal with a convex lens and the photoelectric current is I . If the lens is replaced by another similar lens of half the diameter and double the focal length, then photoelectric current will bea) I b) I/4 c) I/8 d) I/16 Correct answer is option 'D'. Can you explain this answer? for UPSC 2025 is part of UPSC preparation. The Question and answers have been prepared according to the UPSC exam syllabus. Information about The image of the sun is formed on the photosensitive metal with a convex lens and the photoelectric current is I . If the lens is replaced by another similar lens of half the diameter and double the focal length, then photoelectric current will bea) I b) I/4 c) I/8 d) I/16 Correct answer is option 'D'. Can you explain this answer? covers all topics & solutions for UPSC 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The image of the sun is formed on the photosensitive metal with a convex lens and the photoelectric current is I . If the lens is replaced by another similar lens of half the diameter and double the focal length, then photoelectric current will bea) I b) I/4 c) I/8 d) I/16 Correct answer is option 'D'. Can you explain this answer?.
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