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Questions  

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 :

a
1Bmgh
b
2ghBml
c
ghBml
d
m2ghBl

detailed solution

Correct option is D

∫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

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