An electron accelerated from rest through a potential difference V acquires a speed of 0.9998c. Find the value of V.
The potential energy required to acquire a speed of 0.9998c is 25 Mega Volts.
The relativistic kinetic energy of a charged particle is equal magnitude to the change in potential energy as it is accelerated through a potential difference.
Putting these values in above equation we get,
So, to get an electron accelerated to a speed of 0.9998c, the required potential difference to be applied is 25 mega volts.
Suppose particles begin moving in one dimension away from the origin at with the following velocities: and so on. (a) After 1 s , how will the velocities of the particles depend on distance from the origin? (b) Now consider an observer on one of the moving particles not at the origin. How will the relative velocities of the other particles depend on distance from the observer?
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