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Chemistry · Structure of atom

हिन्दी

When electromagnetic radiation of wavelength \( 300\text{ nm} \) falls on the surface of sodium, electrons are emitted with a kinetic energy of \( 1.68 \times 10^5\text{ J mol}^{-1} \). What is the minimum energy needed to remove an electron from sodium?

  1. \( 1.68 \times 10^5\text{ J mol}^{-1} \)
  2. \( 3.99 \times 10^5\text{ J mol}^{-1} \)
  3. \( 2.31 \times 10^5\text{ J mol}^{-1} \)
  4. \( 5.67 \times 10^5\text{ J mol}^{-1} \)

Correct answer · Option 3

\( 2.31 \times 10^5\text{ J mol}^{-1} \)

Explanation

Total energy of incident photon per mole = \( 3.99 \times 10^5\text{ J mol}^{-1} \). Threshold energy \( W_0 = E - \text{K.E.} = 3.99 \times 10^5 - 1.68 \times 10^5 = 2.31 \times 10^5\text{ J mol}^{-1} \).
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