MCQ
The de Broglie wavelength of a car of mass $1000\, kg$ and velocity $36\, km/hr$ is
  • A
    $6.626\times10^{-34}\, m$
  • $6.626\times10^{-38}\, m$
  • C
    $6.626\times10^{-31}\, m$
  • D
    $6.626\times10^{-30}\, m$

Answer

Correct option: B.
$6.626\times10^{-38}\, m$
b
$\lambda  = \frac{h}{{mv}}$

$h = 6.6 \times {10^{ - 34}}\,J - s$

$m = 1000\,kg$

$v = 36\,km/hr = \frac{{36 \times {{10}^3}}}{{60 \times 60}}\,m/\sec  = 10\,m/\sec $

$\lambda  = \frac{{6.6 \times {{10}^{ - 34}}}}{{{{10}^3} \times 10}} = 6.6 \times {10^{ - 38}}\,m$

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