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NEET 2012
Exam
NEET
Year
2012
Subject
Physics
Chapter
Dual Nature of Matter

NEET 2012 · Physics · Dual Nature of Matter

An α -particle moves in a circular path of radius 0.83 ~cm in the...

An α\alpha-particle moves in a circular path of radius 0.83 cm0.83 \mathrm{~cm} in the presence of a magnetic field of 0.25 Wb/m20.25 \mathrm{~Wb} / \mathrm{m}^2. The de-Broglie wavelength associated with the particle will be

Options

  1. A1A˚1 Å
  2. B0.1A˚0.1 Å
  3. C10A˚10 Å
  4. D0.01A˚0.01 Å

Correct answer

D. 0.01A˚0.01 Å

Step-by-step solution

We knows R=mvqBR=\frac{m v}{q B}λ=hmvλ=hqBR=6.6×10−341.6×10−19×0.83×10−2×0.25=0.01A˚\begin{aligned} \lambda & =\frac{h}{m v} \\ \lambda & =\frac{h}{q B R} \\ & =\frac{6.6 \times 10^{-34}}{1.6 \times 10^{-19} \times 0.83 \times 10^{-2} \times 0.25} \\ & =0.01 Å \end{aligned}$$
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