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Q.

A proton of velocity 3i^+2j^ms−1  enters a field of magnetic induction 2j^+3k^  tesla. The acceleration produced in the proton is (charge to mass ratio of proton = 0.96 × 108 C kg-1)

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a

2.8×1082i^−3j^

b

2.88×1082i^−3j^+2k^

c

2.8×1082i^+3k^

d

2.88×108i^−3j^+2k^

answer is B.

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Detailed Solution

F→=qV→×B→a=Fm=qmV×B=ijk320023qm=0.96×1086i−9j+6k=2.88×1082i−3j+2k
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A proton of velocity 3i^+2j^ms−1  enters a field of magnetic induction 2j^+3k^  tesla. The acceleration produced in the proton is (charge to mass ratio of proton = 0.96 × 108 C kg-1)