MCQ
Calculate the wavelength (in nanometer) associated with a proton moving at $1.0 \times 10^3 \,ms^{-1}.$ ........... $\mathrm{nm}$

(Mass of proton $= 1.67 \times 10^{-27}\, kg$ and $h = 6.63 \times 10^{-34}\, Js$)

  • $0.40$
  • B
    $2.5$
  • C
    $14$
  • D
    $0.32$

Answer

Correct option: A.
$0.40$
a
Wavelength $(\lambda)=\frac{h}{m v}$

$=\frac{6.63 \times 10^{-34}}{1.67 \times 10^{-27} \times 10^{3}}$

$=0.4 \times 10^{-9}$

$=0.4 \mathrm{\,nm}$

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