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Q.

A conducting wire bent in the form of a parabola  y2=x, is carrying a current I = 1 A in anticlockwise sense as shown. This wire is placed in a uniform magnetic fieldB=2k^  tesla. The unit vector in the direction of force is

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a

3i^+4j^5

b

i^+j^2

c

i^+2j^5

d

i^2

answer is B.

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Detailed Solution

 abObOa=4i^2j^i^j^=3j^3j^
 F=i(l×B)=1(3i^3j^)×(2k^)=6j^+6i^
 F=6j^+6i^62=i^+j^2

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A conducting wire bent in the form of a parabola  y2=x, is carrying a current I = 1 A in anticlockwise sense as shown. This wire is placed in a uniform magnetic fieldB→=−2k^  tesla. The unit vector in the direction of force is