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A uniform magnetic field of magnitude 1T...

A uniform magnetic field of magnitude `1T` exists in region `yge0` along `hatk` direction as shown. A particle of charge `1C` is projected from point `(-sqrt(3),-1)` towards origin with speeds `1 m//sec`. If mass of particle moves are:

A

`(1,sqrt(3))`

B

`(1,-sqrt(3))`

C

`(1/2,-(sqrt(3))/2)`

D

`((sqrt(3))/2,-1/2)`

Text Solution

Verified by Experts

The correct Answer is:
C
The centre will be at `'C'` as shown:
Coordinates of the centre are
`(r cos 60^(@),-rsin60^(@))`
where `r`=radius of circle `=(mv)/(Bq)=(1xx1)/(1xx1)=1`

`i.e., (1/2,-(sqrt(3))/2)`
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