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A uniform magnetic field of magnitude 1 T exists in region y greater or equal than 0 is along stack k with hat on top direction as shown. A particle of charge 1 C is projected from point left parenthesis negative square root of 3 comma negative 1 right parenthesis towards origin with speed 1 m/sec. If mass of particle is 1 kg, then co-ordinates of centre of circle in which particle moves are

  1. left parenthesis 1 comma square root of 3 right parenthesis    
  2. left parenthesis 1 comma negative square root of 3 right parenthesis    
  3. open parentheses fraction numerator 1 over denominator 2 end fraction comma negative fraction numerator square root of 3 over denominator 2 end fraction close parentheses    
  4. open parentheses fraction numerator square root of 3 over denominator 2 end fraction comma negative fraction numerator 1 over denominator 2 end fraction close parentheses    

The correct answer is: open parentheses fraction numerator 1 over denominator 2 end fraction comma negative fraction numerator square root of 3 over denominator 2 end fraction close parentheses

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