Published by:
CGP EDU Academic Team
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
Text Solution
Verified by ExpertsThe 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.
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.
Prepare Smarter with CGP Edu
Get practice questions, solutions, and test series in one place.
Write a Review
Share your experience with this question and solution.
Commentary
Send your comment, doubt, correction, or feedback to admin.
Similar Questions
Explore conceptually related problems
A beam of protons with a cross-sectional area of is moving with a velocity of . Then charge dens…
A particle of mass at rest decays into two particles of masses and , having non-zero velocities.…
When an inert gas is filled in the place vacuum in a photocell, then
A photon of 1.7 × × 10 -13 Joules is absorbed by a material under special circumstances. The correc…
The maximum velocity of an electron emitted by light of wavelength incident on the surface of a me…
When a point source of monochromatic light is at a distance of 0.2 m from a photoelectric cell, the…