Teaching BPSC 4.0 बिहार उच्च माध्यमिक शिक्षक भर्ती (PGT) Mock Test Physics Dual Nature: Photon and Matter Waves Wave Nature of Matter
An electron (mass m) with initial velocity \(\vec{\text{v}}\) = v0 î + v0 ĵ is in an electric field \(\vec{\text{E}}\) = −E0 k̂. If λ0 is initial de-Broglie wavelength of electron, its de-Broglie wave length at time t is given by :
1
\(\frac{\lambda_0}{\sqrt{1+\frac{\text{e}^2\text{E}_0^2\text{t}^2}{\text{m}^2\text{v}_0^2}}}\)
2
\(\frac{\lambda_0}{\sqrt{1+\frac{\text{e}^2\text{E}^2\text{t}^2}{2\text{m}^2 \text{v}_0^2}}}\)
3
\(\frac{\lambda_0}{\sqrt{2+\frac{\text{e}^2\text{E}^2\text{t}^2}{\text{m}^2 \text{v}_0^2}}}\)
4
\(\frac{\lambda_0 \sqrt{2}}{\sqrt{1+\frac{\text{e}^2\text{E}^2\text{t}^2}{\text{m}^2 \text{v}_0^2}}}\)
5
None of the above/More than one of the above.