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WBJEE · Chemistry · Structure of Atom

As per de-Broglie's formula a macroscopic particle of mass \(100 \mathrm{g}\) and moving at a velocity of \(100 \mathrm{cm} \mathrm{s}^{-1}\) will have a wavelength of

  1. A \(6.6 \times 10^{-29} \mathrm{cm}\)
  2. B \(6.6 \times 10^{-30} \mathrm{cm}\)
  3. C \(6.6 \times 10^{-31} \mathrm{cm}\)
  4. D \(6.6 \times 10^{-32} \mathrm{cm}\)
Verified Solution

Answer & Solution

Correct Answer

(C) \(6.6 \times 10^{-31} \mathrm{cm}\)

Step-by-step Solution

Detailed explanation

According to de-Broglie. wavelength, \(\lambda=\frac{h}{m v}\) Given, \(\quad m=100 \mathrm{g}, v=100 \mathrm{cm} \mathrm{s}^{-1}\) and \[ \begin{aligned} h &=6.6 \times 10^{-34} \mathrm{J}-\mathrm{s} \\ &=6.6 \times 10^{-27} \mathrm{erg}-\mathrm{s} \end{aligned} \] On…