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# A Positive charge particle with velocity →v=x^i+y^j moves in a magnetic field →B=y^i+x^j. The magnitude of magnetic force acting on the particles is F. Which one of the following statements are correct :no force will act on particle of x = yF∝(x2−y2) if x > ythe force will act along positive Z-axis if x > ythe force will act along positive Z-axis if y > x

A
no force will act on particle of x = y
B
the force will act along positive Z-axis if y > x
C
the force will act along positive Z-axis if x > y
D
F(x2y2) if x > y
Solution
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#### The magnetic force on a particle moving with velocity 'v' in a given magnetic field is given by→F=→v×→B→F=(xi+yj)×(yi+xj)→F=x2k+y2(−k)→F=x2k−y2kIf x=y,F=(x2−y2)k=0F>0 if x>y. So the force acts in positive z- direction if x > y

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