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PhysicsMediumMCQ2019 Β· 09 Jan Shift 1

Q29.The surface of certain metal is first illuminated with light of wavelength πœ†1 = 350 nm and then, by a light of wavelength πœ†2 = 540 nm . It is found that the maximum speed of the photoelectrons in the two cases differ by a factor of 2. The work function of the metal (in eV) is close to 1240 (Energy of photon = eV ) πœ†in nm (1) 2.5 (2) 1.8 (3) 5.6 (4) 1.4

What This Question Tests

This question requires applying Einstein's photoelectric equation for two different wavelengths to determine the work function of the metal, using the given relation between maximum photoelectron speeds.

Concepts Tested

Photoelectric effectEinstein's photoelectric equationKinetic energy of photoelectrons

Formulas Used

E = hc/Ξ»

KE_max = E - Ξ¦

KE_max = 1/2 mv_maxΒ²

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