A charged 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 F. Among the following the correct statement(s) is/are :
no force will act on particle, if x=y
Fα(x2−y2) is x > y
the force will act along z-axis, if x > y
the force will act along y-axis, if y > x
A
no force will act on particle, if x=y
B
the force will act along z-axis, if x > y
C
Fα(x2−y2) is x > y
D
the force will act along y-axis, if y > x
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Solution
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F=q(vXB)
vXB=(xi+yj)X(yi+xj)=(x2−y2)k
F∝(x2−y2)k is x>y
NO force will act if x=yF=0.
The force will directed in z direction.as F=q(x2−y2)k
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