Answer:
The value is [tex]\lambda = 5.30 *10^{-10 } \ m[/tex]
Explanation:
From the question we are told that
The velocity of the electron is [tex]v = 1.37 *10^{6} \ m/s[/tex]
The mass of the electron is [tex]m = 9.11 *10^{-28} \ g = 9.11 *10^{-31} \ kg[/tex]
Generally the deBroglie wavelength is mathematically represented as
[tex]\lambda = \frac{h}{mv}[/tex]
Here h is the Planck'c constant with value [tex]h = 6.62607015 * 10^{-34} J \cdot s[/tex]
So
[tex]\lambda = \frac{6.62607015 * 10^{-34} }{9.11 *10^{-31} * 1.37 *10^{6}}[/tex]
=> [tex]\lambda = 5.30 *10^{-10 } \ m[/tex]
