Home Physics Electron, Photon, Photoelectric Effect and X-rays Hard An image of the sun is formed by a lens of f…
Physics Electron, Photon, Photoelectric Effect and X-rays Hard Single Correct MCQ
Published on: September 12, 2026

An image of the sun is formed by a lens of focal length of 30 cm on the metal surface of a photoelectric cell and a photoelectric current is produced. The lens forming the image is then replaced by another of the same diameter but of focal length 15 cm. The photoelectric current in this case is

A
B

C
D

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The correct answer is:
C
Step 1: The photoelectric current is directly proportional to the intensity of light incident on the photoelectric cell. \
Step 2: The intensity \(I\) of light is related to the focal length of the lens. If the power \(P\) of a lens is given by \( P = \frac{1}{f} \), where \(f\) is the focal length, then for two lenses of different focal lengths, the intensities can be related.\
For the first lens, with focal length of 30 cm: \( P_1 = \frac{1}{30} \)\
For the second lens, with focal length of 15 cm: \( P_2 = \frac{1}{15} \)\
Step 3: The ratio of the intensities (and thus the currents) can be expressed as \( \frac{I_2}{I_1} = \frac{P_2}{P_1} = \frac{\frac{1}{15}}{\frac{1}{30}} = 2 \)\
Therefore, if the current produced by the first lens is \(I\), the current produced by the second lens will be \(I_2 = 2I\), thus matching Option C: \(2I\).
Therefore, C.

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