Question 381: Dual Nature of Matter and Radiation

Question

The de-Broglie wavelength of a proton $$\left(m=1.67 	imes 10^{-27} \mathrm{~kg}ight)$$ acclerated through a potential difference of $$2 \mathrm{~kV}$$ is

Accepted Answer

$$	ext { } \begin{aligned}
\lambda & =\frac{h}{p}=\frac{h}{\sqrt{2 m E}}=\frac{h}{\sqrt{2 m q} v} \
& =\frac{6.6 	imes 10^{-34}}{\sqrt{2 	imes\left(1.6 	imes 10^{-27}ight)\left(1.6 	imes 10^{-19}ight) 	imes 2000}} \
\lambda & =\frac{6.6 	imes 10^{-34} 	imes 10^{22}}{\sqrt{2 	imes 1.6 	imes 1.6 	imes 20}} \Rightarrow \lambda=0.636 	imes 10^{-12}  \mathrm{m} .
\end{aligned}$$

Answer

$$600 \mathop A\limits^o$$

Answer

$$0.636 	imes 10^{-12} \mathrm{~m}$$

Answer

$$7 \mathop A\limits^o$$

Answer

$$0.63 \mathrm{~nm}$$

Dual Nature of Matter and Radiation

The de-Broglie wavelength of a proton $\left(m=1.67 \times 10^{-27} \mathrm{~kg}\right) acclerated through a potential difference of 2 \mathrm{~kV}$ is

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