Through what potential difference should an electron be accelerated to give it a speed of
(a) 0.6c, (b) 0.9c and (c) 0.99 ?
a) As we know the moving object appears to be heavier in the moving frame that’s because of Lorentz transformation known as apparent mass which is given by ![]()
Where
, V is velocity of moving object and C is speed of light in vacuum i.e. ![]()
And
is mass at rest

![]()
Kinetic energy gained by the electron will be due to change in mass of electron.
![]()
As the gain in kinetic energy is given by charge
potential difference applied i.e. q![]()
As ![]()
![]()
![]()
b)Similarly for 0.9c

![]()
Kinetic energy gained by the electron will be due to change in mass of electron.
![]()
As the gain in kinetic energy is given by charge
potential difference applied i.e. q![]()
As ![]()
![]()
![]()
c) Similarly for 0.99c

![]()
Kinetic energy gained by the electron will be due to change in mass of electron.
![]()
As the gain in kinetic energy is given by charge
potential difference applied i.e. q![]()
As ![]()
![]()
![]()