A sub-atomic particle of mass ${{10}^{{-30}}}~\text{kg}$ is moving with a velocity $2.21\times {{10}^{6}}~\text{m}/\text{s}$. Under the matter wave consideration, the particle will behave closely like ............ $\left( {\text{h}=6.63\times {{{10}}^{{-34}}}~\text{J}.\text{s}} \right)$
Select the correct option:
A
Infra-red radiation
B
X-rays
C
Visible radiation
D
Gamma rays
✓ Correct! Well done.
✗ Incorrect. Try again or view the solution.
Solution
$\lambda =\frac{\text{h}}{\text{p}}=\frac{{6.63\times {{{10}}^{{-34}}}}}{{{{{10}}^{{-30}}}\times 2.21\times {{{10}}^{6}}}}=3\times {{10}^{{-10}}}~\text{m}$
Hence particle will behave as x-ray.
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