A metallic rod of length l is tied to a string of length 2 l and made to rotate with angular speed ω on…

A metallic rod of length l is tied to a string of length 2l and made to rotate with angular speed ω on a horizontal table with one end of the string fixed. If there is a vertical magnetic field B in the region, the e.m.f. induced across the ends of the rod is:

 

  1. 4Bωl22
  2. 5Bωl22
  3. 2Bωl22
  4. 3Bωl22

Solution



e=2l3lBVdx

e = 2 3 B(ωx)dx
e=ωB2l3lxdx

e=ωBx222l3l

e=ωB23l2-2l22l3l

e=52ωBl2

Asked in: JEE Main 2013 (07 Apr)

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