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Chemistry · Structure of atom

हिन्दी

What is the de Broglie wavelength of an electron of mass \( 9.1 \times 10^{-31} \text{ kg} \) having a kinetic energy of \( 3.0 \times 10^{-25} \text{ J} \)?

  1. A
    \( 434.5 \text{ nm} \)
  2. B
    \( 896.7 \text{ nm} \)
  3. C
    \( 120.4 \text{ nm} \)
  4. D
    \( 652.1 \text{ nm} \)
View Answer & Solution

Correct answer · Option B

\( 896.7 \text{ nm} \)

Explanation

Velocity \( v = (\frac{2 \times \text{K.E.}}{m})^{1/2} = 812 \text{ m s}^{-1} \). Then \( \lambda = \frac{h}{mv} = \frac{6.626 \times 10^{-34}}{9.1 \times 10^{-31} \times 812} = 896.7 \text{ nm} \).
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