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ChemistryMediumMCQ2019 · 12 Jan Shift 1

Q31.What is the work function of the metal if the light of wavelength 4000 A generates photoelectrons of velocity 6 × 105 ms−1 from it? (Mass of electron = 9 × 10−31 kg, velocity of light = 3 × 108 ms−1 , Planck's constant = 6 .626 ×10−34 Js, Charge of electron = 6 .626 ×10−34 Js) (1) 0 .9 eV (2) 4 .0 eV (3) 3 .1 eV (4) 2 .1 eV

What This Question Tests

This question tests the application of Einstein's photoelectric equation to calculate the work function, given the incident light's wavelength and the photoelectron's velocity, requiring unit conversions.

Concepts Tested

Einstein's photoelectric equationKinetic energy of photoelectronEnergy of photonUnit conversion (Joules to eV)

Formulas Used

E = hc/λ

KE = 1/2 mv²

E = W + KE

1 eV = 1.602 × 10⁻¹⁹ J

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