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Chemistry · Structure of atom

हिन्दी

Calculate the de Broglie wavelength of an alpha particle accelerated through a potential difference of \( 40 \nabla \text{ V} \) (mass of alpha particle \( = 6.64 \times 10^{-27} \text{ kg} \), charge \( q = 3.2 \times 10^{-19} \text{ C} \)).

  1. \( 0.143 \text{ \AA} \)
  2. \( 0.287 \text{ \AA} \)
  3. \( 0.574 \text{ \AA} \)
  4. \( 1.148 \text{ \AA} \)

Correct answer · Option 1

\( 0.143 \text{ \AA} \)

Explanation

Using \( \lambda = \frac{h}{\sqrt{2mqV}} \), substituting \( h = 6.626 \times 10^{-34} \), \( m = 6.64 \times 10^{-27} \), \( q = 3.2 \times 10^{-19} \), and \( V = 40 \), we obtain \( \lambda \approx 0.143 \text{ \AA} \).
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