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AP EAMCET · Chemistry · Structure of Atom

With what velocity must an electron travel, so that its momentum is equal to that of a photon of wavelength \(663 \mathrm{~nm}\) ?

  1. A \(1098 \mathrm{~m} / \mathrm{s}\)
  2. B \(109.8 \mathrm{~m} / \mathrm{s}\)
  3. C \(10.98 \mathrm{~m} / \mathrm{s}\)
  4. D \(1.098 \mathrm{~m} / \mathrm{s}\)
Verified Solution

Answer & Solution

Correct Answer

(A) \(1098 \mathrm{~m} / \mathrm{s}\)

Step-by-step Solution

Detailed explanation

\[ \begin{aligned} & \lambda=\frac{h}{m v} \\ & v=\frac{h}{m \lambda} \end{aligned} \] Given,…