A particle of charge −qand mass mmoves in a circular orbit of radius rabout a fixed charge +Q. The relation between the radius of the orbit rand the time period Tis:
r=Qq16π2ϵ0mT3
r3=Qq16π3ϵ0mT2
r2=Qq16π3ϵ0mT3
r2=Qq16πϵ0mT3
A
r3=Qq16π3ϵ0mT2
B
r2=Qq16πϵ0mT3
C
r=Qq16π2ϵ0mT3
D
r2=Qq16π3ϵ0mT3
Open in App
Solution
Verified by Toppr
The centrifugal force acting on charge q is: F=kqQr2 ⇒mv2r=kqQr2 ⇒V=√kqQrm Now, V=2πrT ⇒2πrT=√qQ4πε0rm ⇒4π2r2T2=qQ4πε0rm ⇒r3=qQT216π3ε0m
Was this answer helpful?
5
Similar Questions
Q1
A particle of charge −qand mass mmoves in a circular orbit of radius rabout a fixed charge +Q. The relation between the radius of the orbit rand the time period Tis:
View Solution
Q2
A spherical conductor of radius R is charged with Q units of negative charge. The escape velocity of a particle of mass m and charge q from the surface of this conductor is
View Solution
Q3
A particle of charge −q and mass m moves in a circular orbit of radius r about a fixed charge +Q. The relation between the radius of the orbit r and the number of revolution per second n is
View Solution
Q4
A particle of charge -q & mass m moves in a circular orbit about a fixed charge +Q in a circle of radius r and time period T. which of the following may be correct
View Solution
Q5
A particle of mass m and charge −q moves along a diameter of a uniformly charged sphere of radius R and carrying a total charge +Q. The frequency of S.H.M of the particle if the amplitude does not exceed R, is 12π√qQxπε0mR3. Find x.