- AStationary
- ✓Not stationary
- CCentralized
- DNone of these
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$1.$ Taking the electronic charge as ' $e$ ' and the permittivity as ' $\varepsilon_0$ ', use dimensional analysis to determine the correct expression for $\omega_p$.
$(A)$ $\sqrt{\frac{N e}{m \varepsilon_0}}$ $(B)$ $\sqrt{\frac{m \varepsilon_0}{N e}}$ $(C)$ $\sqrt{\frac{N e^2}{m \varepsilon_0}}$ $(D)$ $\sqrt{\frac{m \varepsilon_0}{N e^2}}$
$2.$ Estimate the wavelength at which plasma reflection will occur for a metal having the density of electrons $N \approx 4 \times 10^{27} m ^{-3}$. Take $\varepsilon_0 \approx 10^{-11}$ and $m \approx 10^{-30}$, where these quantities are in proper $SI$ units.
$(A)$ $800 \ nm$ $(B)$ $600 \ nm$ $(C)$ $300 \ nm$ $(D)$ $200 \ nm$
Give the answer question $1$ and $2.$
