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AP EAMCET · Chemistry · Structure of Atom

What is the mass of a particle with a wavelength of \(3.313 Å\) moving with a speed of \(2.0 \times 10^8 \mathrm{~ms}^{-1}\) ?

  1. A \(1.0 \times 10^{-28} \mathrm{~kg}\)
  2. B \(2.0 \times 10^{-32} \mathrm{~kg}\)
  3. C \(1.0 \times 10^{-32} \mathrm{~kg}\)
  4. D \(2.0 \times 10^{-28} \mathrm{~kg}\)
Verified Solution

Answer & Solution

Correct Answer

(C) \(1.0 \times 10^{-32} \mathrm{~kg}\)

Step-by-step Solution

Detailed explanation

According to de-Broglie relation: \(\lambda=\frac{h}{m v}\) where, \(h=\) Planck's constant \(=6.626 \times 10^{-34} \mathrm{Js}\) \(v=\) speed of moving particle \(m=\) mass of moving particle \(\lambda=\) wavelength of particle. Thus, \(m=\frac{h}{\lambda \times v}\) Given,…