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A charged particle of mass m(1) and ch...

A charged particle of mass `m_(1) ` and charge `q_(1)` is revolving in a cricle of radius r. another charged particle of charge `q_(2)` and mass `m_(2)` is situated at the centre of the circle. If the velocity and time period of the revolving particle be v and T respectively, then,

A

`v=sqrt((q_(1)q_(2)r)/(4piepsilon_(0)m_(1)))`

B

`v=(1)/(m_(1))sqrt((q_(1)q_(2))/(4piepsilon_(0)r))`

C

`T=sqrt((16pi^(3)epsilon_(0)m_(2)r^(3))/(q_(1)q_(2)))`

D

`T=sqrt((16pi^(3)epsilon_(0)m_(2)r^(3))/(q_(1)q_(2)))`

Text Solution

Verified by Experts

Charge `q_(1)` , will follow circular path if electrostatic force between `q_(1)andq_(2)` is attractive,
`i.e.,(q_(1)q_(2))/(4piepsilon_(0)r^(2))=(m_(1)v^(2))/(r)`
`rArrv=sqrt((1)/(4piepsilon_(0))(q_(1)q_(2))/(m_(1)r))`
Also , `v=omegar=(2pi)/(T)xxr`
`T=(2pir)/(v)=sqrt((16pi^(3)epsilon_(0)m_(1)r^(3))/(q_(1)q_(2))`
None of the given options is correct.
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