Question 316: Dual Nature of Matter and Radiation

Question

If the potential difference used to accelerate electrons is doubled, by what factor does the de-Broglie wavelength associated with electrons change?

Accepted Answer

$$\begin{aligned}
& 	ext { From } \lambda=\frac{\mathrm{h}}{\sqrt{2 \mathrm{mqV}}}, \
& \lambda \propto \frac{1}{\sqrt{\mathrm{V}}}
\end{aligned}$$
If potential difference is doubled, $$\lambda \propto \frac{1}{\sqrt{2 \mathrm{~V}}}$$
$$	herefore \quad \lambda$$ is decreased by $$\frac{1}{\sqrt{2}}$$ times.

Answer

Wavelength in increased to $$\frac{1}{\sqrt{2}}$$ times.

Answer

Wavelength in increased to $$\frac{1}{2}$$ times.

Answer

Wavelength in decreased to $$\frac{1}{\sqrt{2}}$$ times.

Answer

Wavelength in decreased to $$\frac{1}{2}$$ times.

Dual Nature of Matter and Radiation

If the potential difference used to accelerate electrons is doubled, by what factor does the de-Broglie wavelength associated with electrons change?

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