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  • The wavelength of an electron and a neutron will become equal when the velocity of the electron is times the velocity of neutron. The v

The wavelength of an electron and a neutron will become equal when the velocity of the electron is \mathrm{x} times the velocity of neutron. The value of \mathrm{x} is ___________ . (Nearest Integer)

\mathrm{\text { (Mass of electron is } 9.1 \times 10^{-31} \mathrm{~kg} \text { and mass of neutron is } 1.6 \times 10^{-27} \mathrm{~kg} \text { ) }}

Option: 1

1758


Option: 2

-


Option: 3

-


Option: 4

-


Answers (1)

best_answer

According to De-broglie hypothesis

\lambda =\mathrm{\frac{h}{mv}}

If \lambda \text{n}=\lambda \text{e}^{-}

\mathrm{\frac{h}{{m_{n}V_{n}}}=\frac{h}{m_{e}V_{e}}}

\mathrm{V_{e}=\frac{m_{n}V_{n}}{me}}

       =\frac{1.6\times10^{-27}\text{kg}}{9.11\times 10^{-31}\text{kg}}

\mathrm{V_{e}=1758\; V_{n}}

Answer is 1758

Posted by

Nehul

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