A particle having charge + q is fixed at a point O and a second particle of mass m and having charge – q 0 moves with constant speed in a circle of radius r about the charge + q. The energy required to be supplied to the moving charge to increase radius of the path to 2 r is 
. Find the value of n.
Text Solution
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Sol.
Required centripetal force is acquired from electric force between two charges in situation
or 
= 
⇒ mv 1 2 = 
In situation , 
= 
⇒ mv 2 2 = 
If additional energy E is added to situation to change it to situation then by energy conservation:
mv 1 2 – 
+ E = 
mv 2 2 – 
or E = 
m (v 2 2 – v 1 2 ) + 
– 
∴ E = 
+ 
= 
= 
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