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Q.

A non-conducting non-magnetic rod having circular cross section of radius R is  suspended from a rigid support as shown in figure. A light and small coil of 3000 turns is  wrapped tightly at the left end of the rod where uniform magnetic field B exists in  vertically downward direction. Air of density ρ hits the half of the right part of the rod  with velocity V as shown in the figure. What should be current in clockwise direction (as  seen from O) in the coil so that rod remains horizontal? Give answer in mA. 
Given : 2LVπRBρ=15A1/2 [Assume air stops after collision]
 

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answer is 5.

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Detailed Solution

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Balancing torque about point O,  NI(πR2)B=ρLRV23L4
[force exerted by air on rod =(ρL22R)π2=ρL0RV2 ]

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