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There exists a uniform magnetic field in...

There exists a uniform magnetic field in horizontal direction perpendicular to the plane of the paper as shown in Fig. A wire of length 1 and mass m is attached with a block of equal mass with the help of an ideal string. The block is kept on floor and the wire on two conducting support as shown. After closing the switch, a charge q passes though the wire for a small interval of time. To what height the block will rise? `(take(qBl)/m = 20)`

A

10 m

B

5 m

C

2.5 m

D

1 m

Text Solution

Verified by Experts

The correct Answer is:
B
`F=ilb`
`I=int Fdt = int Blidt= Bl int dt = Blq`
`v=(I)/(2m)=(Bq)/(2m)l=10 m//s` (`:. Given (qBl)/(m)=20`)
Maximum height `(:h:)=(v^2)/(2g)=(10^(2))/(2 xx 10)=5 m`
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