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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^(@) - r sin 60^(@))`
where r = radius of circle `= (mv)/(Bq)=(1xx1)/(1xx1)=1`
i.e `((1)/(2),-(sqrt(3))/(3))`
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