MCQ
The de Broglie wavelength associated with a ball of mass $1\, kg$ having kinetic energy $0.5\, J$ is
- ✓$6.626\times10^{-34}\,m$
- B$13.20\times10^{-34}\,m$
- C$10.38\times10^{-21}\,m$
- D$6.626\times10^{-34}\,\mathop A\limits^o $
✓
Answer
Correct option: A.
$6.626\times10^{-34}\,m$
a
$\lambda = \frac{h}{{mv}} = \frac{h}{{\sqrt {2mE} }}$
$\lambda = \frac{h}{{mv}} = \frac{h}{{\sqrt {2mE} }}$
$ = \frac{{6.6 \times {{10}^{ - 34}}}}{{\sqrt {2 \times 1 \times 0.5} }}$
$ = 6.6 \times {10^{ - 34}}\,m$
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