Work, Power and EnergyHard
Question
A solid non-conducting hemisphere of radius R has a uniformly distributed positive charge of volume density Ï. A negatively charged particle having charge q is transferred from centre of its base to infinity. Work performed in the process is :
Options
A.
B.
C.
D.
Solution
To calculate initial potential energy of the particle, first a thin hemispherical shell of radius x and radial thickness dx is considered
Volume of material of the shell = 2Ï€22dx
charge on shell is dQ = Ï(2Ï€x2dx)
Potential energy of the particle, due to charge of the shell considered is
dU =
⇒ U =
Finally potential energy is zero.
Thus, work done = áƒU =
Create a free account to view solution
View Solution FreeMore Work, Power and Energy Questions
If spring extends by x on loading, them energy stored by the spring is (if T is the tension in spring constant)...The temperature at which thermal electric power of a thermo couple becomes zero is called :-...A car of mass 400 kg and travelling at 72 kmph crashes into a truck of mass 4000 kg and travelling at 9 kmph, in the sam...A ball is thrown from 10 m height vertically at speed v0 vertically down ward. In colliding surface of earth it looses 5...A rod of mass m, uniform cross sectional area A and length L is accelerated by applying force F asshown in figure on a s...