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Q.

A charged particle carrying charge 1μC is moving with velocity 2i^+3j^+4k^ms−1.  If an external magnetic field of  5i^+3j^−6k^×10−3T exists in the region where particle is moving , then the force on the particle is F→×10−9N . The vector F→  is :

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a

−300i^+320j^−90k^

b

−3.0i^+3.2j^−0.9k^

c

−0.30i^+0.32j^−0.09k^

d

−30i^+32j^−9k^

answer is D.

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Detailed Solution

F→=qV→×B→​F→×10−9=10−62i^+3j^+4k^×5i^+3j^−6k^×10−3​F→=ijk23453−6×10−9=−30i^+32j^−9k^×10−9
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