TS EAMCET · Physics · Dual Nature of Matter
If an electron has an energy such that its de-Broglie wavelength is \(5500 Å\), then the energy value of that electron is \(\left(h=6.6 \times 10^{-34} \mathrm{Js}, m_{\mathrm{c}}=9.1 \times 10^{-31} \mathrm{~kg}\right)\)
- A \(8 \times 10^{-20} \mathrm{~J}\)
- B \(8 \times 10^{-10} \mathrm{~J}\)
- C \(8 \mathrm{~J}\)
- D \(8 \times 10^{-25} \mathrm{~J}\)
Answer & Solution
Correct Answer
(D) \(8 \times 10^{-25} \mathrm{~J}\)
Step-by-step Solution
Detailed explanation
de-Broglie wavelength \[ \begin{aligned} \lambda & =\frac{h}{\sqrt{2 m E}} \\ E & =\frac{1}{2 m}\left(\frac{h}{\lambda}\right)^2 \end{aligned} \]…
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