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AP EAMCET · Chemistry · Structure of Atom

The de Broglie wavelength of an electron travelling with \(20 \%\) of velocity of light is
\(\left(\mathrm{h}=6.626 \times 10^{-34} \mathrm{JS} ; \mathrm{m}_{\mathrm{e}}=9.1 \times 10^{-31} \mathrm{~kg}\right)\)

  1. A \(2.4 \times 10^{-11} \mathrm{~m}\)
  2. B \(1.2 \times 10^{-11} \mathrm{~m}\)
  3. C \(3.6 \times 10^{-11} \mathrm{~m}\)
  4. D \(4.8 \times 10^{-11} \mathrm{~m}\)
Verified Solution

Answer & Solution

Correct Answer

(B) \(1.2 \times 10^{-11} \mathrm{~m}\)

Step-by-step Solution

Detailed explanation

\(\mathrm{C}=3 \times 10^8 \mathrm{~ms}^{-1}\) \(\Rightarrow \operatorname{Velocity}(V)=\frac{20 \times 3 \times 10^8}{100}=6 \times 10^7 \mathrm{~ms}^{-1}\) Thus,…
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