RankLab
Back to Questions
PhysicsHardNumerical2013 · 25 Apr Online

Q27.A copper ball of radius 1 cm and work function 4.47 eV is irradiated with ultraviolet radiation of wavelength 2500 Å . The effect of irradiation results in the emission of electrons from the ball. Further the ball will acquire charge and due to this there will be a finite value of the potential on the ball. The charge acquired by the ball is : (1) 5.5 × 10−13 C (2) 7.5 × 10−13 C (3) 4.5 × 10−12 C (4) 2.5 × 10−11 C

What This Question Tests

This multi-concept problem requires calculating the maximum kinetic energy of emitted photoelectrons, determining the stopping potential, and then using this potential to find the charge accumulated on a spherical conductor.

Concepts Tested

Photoelectric effectWork functionStopping potentialCapacitor potential

Formulas Used

E = hc/λ

K_max = E - Φ

K_max = eV_stop

Q = CV = (4πε₀R)V_stop

📚 NCERT Sections This Tests

11.7The Work Function For A Certain Metal Is 4.2 Ev. Will This Metal Give

Physics Class 12 · Chapter 11

82% match

11.7 The work function for a certain metal is 4.2 eV. Will this metal give hotoelectric emission for incident radiation of wavelength 330 nm?

11.9Light Of Wavelength 488 Nm Is Produced By An Argon Laser Which Is

Physics Class 12 · Chapter 11

81% match

11.9 Light of wavelength 488 nm is produced by an argon laser which is used in the photoelectric effect. When light from this spectral line is incident on the emitter, the stopping (cut-off) potential of photoelectrons is 0.38 V. Find the work function of the material from which the emitter is made.

11.3The Photoelectric Cut-Off Voltage In A Certain Experiment Is 1.5 V.

Physics Class 12 · Chapter 11

81% match

11.3 The photoelectric cut-off voltage in a certain experiment is 1.5 V. What is the maximum kinetic energy of photoelectrons emitted?