MCQ
An electron has kinetic energy $2.8 \times {10^{ - 23}}J$. de-Broglie wavelength will be nearly$({m_e} = 9.1 \times {10^{ - 31}}kg)$
  • A
    $9.28 \times {10^{ - 4}}\,m$
  • B
    $9.28 \times {10^{ - 7}}\,m$
  • $9.28 \times {10^{ - 8}}\,m$
  • D
    $9.28 \times {10^{ - 10}}\,m$

Answer

Correct option: C.
$9.28 \times {10^{ - 8}}\,m$
c
(c) Formula for de-Broglie wavelength is

$\lambda = \frac{h}{p}$ or $\lambda = \frac{h}{{mv}} \Rightarrow eV = \frac{1}{2}m{v^2}$ or $\nu = \sqrt {\frac{{2eV}}{m}} $

$\lambda = \frac{h}{{\sqrt {2meV} }}$$ = \frac{{6.62 \times {{10}^{ - 34}}}}{{\sqrt {2 \times 9.1 \times {{10}^{ - 31}} \times 2.8 \times {{10}^{ - 23}}} }}$

$\lambda = 9.28 \times {10^{ - 8}}\,meter$.

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