A conductor of length l and mass m is placed along the east-west line on a horizontal table. Suddenly a certain amount of charge is passed through it and it is found to jump to a height h. The earth's magnetic field is B (horizontal). The charge passed through the conductor is :
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a
1Bmgh
b
2ghBml
c
ghBml
d
m2ghBl
answer is D.
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Detailed Solution
∫Fdt=mv ......(i)∫iℓBdt=mv ....(ii) From (i) and (ii) v=qBℓm---(1)h=v22g⇒v=2gh---(2)from (1) and (2) we get ⇒q=m2ghBℓ