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Question: Answered & Verified by Expert
Calculate the wavelength (in nanometer) associated with a proton moving at $1.0 \times 10^3 \mathrm{~ms}^{-1}$ (Mass of proton $=1.67 \times 10^{-27} \mathrm{~kg}$ and $\mathrm{h}=6.63 \times 10^{-34} \mathrm{Js}$ ):
ChemistryStructure of AtomJEE MainJEE Main 2009
Options:
  • A
    $0.032 \mathrm{~nm}$
  • B
    $0.40 \mathrm{~nm}$
  • C
    $2.5 \mathrm{~nm}$
  • D
    $14.0 \mathrm{~nm}$
Solution:
2672 Upvotes Verified Answer
The correct answer is:
$0.40 \mathrm{~nm}$
$$
\lambda=\frac{\mathrm{h}}{\mathrm{mv}}=\frac{6.63 \times 10^{-34}}{1.67 \times 10^{-27} \times 10^3} \equiv 0.40 \mathrm{~nm}
$$

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