Question

The wavelength associated with an electron moving with velocity 10^10 ms is
(1) 6.62 * 10-10 m
(2) 7.27 * 10-14 m
(3) 3.69 * 10-12 m
(4) 4.92 x 10-11 m​

Answer 1

lembda = h/mv

h = planks constant

h = 6.626x 10^-34 j/s

$h = {6.626} \times { {10}^{ - 34} }$

$mass \: of \: electron \\ =9.1 \times {10 { }^{ - 31} } \: kg$

Now put the all values in formula, lembda = h/mv

$lembda = \frac{6.626 \times {10}^{34} }{9.1 \times {10}^{ - 31 } \times {10}^{10} }$

$lembda = 7.27 \times {10}^{ - 14} m$