The mass of the electron is [tex]1.72\times 10^{-30}[/tex] Kg.
To calculate the mass of the electron we are using the formula,
[tex]m=\frac{m_{0} }{\sqrt{1-\frac{v^{2} }{c^{2} } } }[/tex]
Here we are given,
[tex]m_0[/tex]=The rest mass of an electron = [tex]9. 11 \times 10^{-31}[/tex] kg.
v= The velocity of electron = 0. 85c.
c= The velocity of light = c. (c=[tex]3\times 10^8[/tex] m/s)
We have to found the mass of an electron = m Kg.
Now we substitute the known values, we found that,
[tex]m=\frac{9. 11 \times 10^{-31} }{\sqrt{1-\frac{(0.85c)^{2} }{c^{2} } } }[/tex]
Or,[tex]m=\frac{9. 11 \times 10^{-31} }{\sqrt{1-(\frac{0.85c}{c})^2 } }[/tex]
Or,[tex]m=\frac{9. 11 \times 10^{-31} }{\sqrt{1-({0.85})^2 } }[/tex]
Or, [tex]m=1.72\times 10^{-30}[/tex] Kg.
From the above calculation we can conclude that, The mass of the electron is [tex]1.72\times 10^{-30}[/tex] Kg.
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