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ChemistryHardMulti concept2021 · 16 Mar Shift 1

Q53.When light of wavelength 248 nm falls on a metal of threshold energy 3. 0 eV , the de-Broglie wavelength of o emitted electrons is ________ A . (Round off to the Nearest Integer). [Use : √3 = 1. 73, h = 6. 63 × 10−34 Js; me = 9. 1 × 10−31 kg; c = 3. 0 × 108 ms−1; 1 eV = 1. 6 × 10−19 J]

What This Question Tests

This problem integrates concepts from the photoelectric effect to calculate the kinetic energy of emitted electrons and then uses the de Broglie hypothesis to determine their wavelength, requiring careful unit conversions.

Concepts Tested

Photoelectric effectWork function (threshold energy)Kinetic energy of electronsde Broglie hypothesisPlanck's constant

Formulas Used

E = hc/λ

E = W₀ + K.E.

K.E. = 1/2 mv²

λ_dB = h/mv

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