Question

The wavelength of an electron and a neutron will become equal when the velocity of the electron is $x$ times the velocity of neutron. The value of $x$ is _________(Nearest Integer)
(Mass of electron is $9.1\times 10^{-31}kg$ and mass of neutron is $1.6\times 10^{-27}kg$ )

Answer 1

Answer: 1758

$v_e=x{v}_N$
${\lambda }_e={\lambda }_N$
$\Rightarrow \frac{h}{m_e{v}_e}=\frac{h}{m_N{v}_N}$
$v_e=\frac{m_N}{m_e}\cdot v_N$
$=\frac{1.6\times 10^{-27}}{9.1\times 10^{-31}}{v}_N$
$v_e=1758.24\times v_N$
$\therefore x=1758.24$