why is the emf zero when maximum number of magnetic lines of force pass through the coil?
 

Bcoz when maxm lines are passing, instantaneous rate of change of flux at that moment is zero..... Thus emf is zero.....
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As the magnetic lines of force reached the maximum,hence it cannot increase further . But induced emf  is change in flux with time but now the magnetic lines of force does not change that is B is constant hence there will be no induced emf it drops to zero.
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