The speed of an electron having a wavelength of $10^{-10} \mathrm{~m}$ is

The speed of an electron having a wavelength of $10^{-10} \mathrm{~m}$ is
  1. $7.25 \times 10^6 \mathrm{~m} / \mathrm{s}$
  2. $5.25 \times 10^6 \mathrm{~m} / \mathrm{s}$
  3. $6.26 \times 10^6 \mathrm{~m} / \mathrm{s}$
  4. $4.24 \times 10^6 \mathrm{~m} / \mathrm{s}$.

Solution

Wavelength $(\lambda)=10^{-10} \mathrm{~m}$. Velocity of the electron, $v=h / m \lambda$ $=\frac{6.6 \times 10^{-34}}{\left(9.1 \times 10^{-31}\right)\left(10^{-10}\right)}=7.25 \times 10^6 \mathrm{~m} / \mathrm{s} \text {. }$ where $m=$ mass of electron equal to $9.1 \times 10^{-31} \mathrm{~kg}$ and $h$ is Planck constant equal to $6.6 \times 10^{-34} \mathrm{~J}-\mathrm{s}$.

Asked in: MHT CET Full Test 7

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