Question 51:
easyAn electron is accelerated from rest through a potential difference of V volt. If the de Broglie wavelength of the electron is $1.227 \times 10^{-2} nm$, the potential difference is:
(2020)
The de Broglie wavelength of an electron accelerated through a potential difference V is given by $\lambda = \frac{1.227}{\sqrt{V}} nm$. Given $\lambda = 1.227 \times 10^{-2} nm$. Equating the two gives $\frac{1.227}{\sqrt{V}} = 1.227 \times 10^{-2}$, which simplifies to $\sqrt{V} = 10^2$. Squaring both sides gives $V = 10^4 V$.