TS EAMCET · Physics · Dual Nature of Matter
The wavelength of a charged particle of mass \(8.0 \times 10^{-31} \mathrm{~kg}\), charge \(1.6 \times 10^{-19} \mathrm{C}\) and kinetic energy \(3 \mathrm{keV}\) will be (Planck constant, \(h=6.4 \times 10^{-34} \mathrm{Js}\) )
- A \(0.4 Å\)
- B \(2.1 Å\)
- C \(1.0 Å\)
- D \(1 Å\)
Answer & Solution
Correct Answer
(A) \(0.4 Å\)
Step-by-step Solution
Detailed explanation
Here, \(m=8 \times 10^{-31} \mathrm{~kg}, q=1.6 \times 10^{-19} \mathrm{C}\) and \(\mathrm{KE}=3 \mathrm{keV}\) Now, the de-Broglie wavelength, of a charged particle, \[ \lambda=\frac{h}{p} \] and \[ p=\sqrt{2 m \mathrm{KE}} \] From Eq. (i) and (ii), we get…
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