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)

Correct option is 22.88×1082i^−3j^+2k^

Questions

A proton of velocity $(3 \hat{i} + 2 \hat{j}) m s^{- 1}$ enters a field of magnetic induction $(2 \hat{j} + 3 \hat{k})$ tesla. The acceleration produced in the proton is (charge to mass ratio of proton = $0.96 \times 10^{8} C k g^{- 1}$ )

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2.8×1082i^−3j^

2.88×1082i^−3j^+2k^

2.8×1082i^+3k^

2.88×108i^−3j^+2k^

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detailed solution

Correct option is B

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)

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Ready to Test Your Skills?

free study material

A proton of velocity $(3 \hat{i} + 2 \hat{j}) m s^{- 1}$ enters a field of magnetic induction $(2 \hat{j} + 3 \hat{k})$ tesla. The acceleration produced in the proton is (charge to mass ratio of proton = $0.96 \times 10^{8} C k g^{- 1}$ )