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JEE Mains · Chemistry · STD 11 - 2. structure of atom

The wavelength of an electron of kinetic energy \(4.50 \times 10^{-29}\,J\) is \(\ldots . . \times 10^{-5}\,m\). (Nearest integer)Given : mass of electron is \(9 \times 10^{-31}\,kg , h =6.6 \times\) \(10^{-34}\,J s\)

  1. A \(6\)
  2. B \(5\)
  3. C \(4\)
  4. D \(7\)
Verified Solution

Answer & Solution

Correct Answer

(D) \(7\)

Step-by-step Solution

Detailed explanation

\(\lambda_{ d }=\frac{ h }{ mv }=\frac{ h }{\sqrt{2 mKE }}=\frac{6.6 \times 10^{-34}}{\sqrt{2 \times 9 \times 10^{-31} \times 4.5 \times 10^{-29}}}\) \(=\frac{6.6 \times 10^{-34}}{\sqrt{9^2 \times 10^{-60}}}\)…