At a place the value of horizontal component of the earth's magnetic field H is \[3\times {{10}^{-5}}\,Weber/{{m}^{2}}\]. A metallic rod AB of length 2 m placed in east-west direction, having the end A towards east, falls vertically downward with a constant velocity of 50 m/s. Which end of the rod becomes positively charged and what is the value of induced potential difference between the two ends [MP PET 1996]

• A.            End A, \[3\times {{10}^{-3}}\,mV\]                                
• B.            End A, 3 mV
• C.            End B, \[3\times {{10}^{-3}}\,mV\]                                
• D.            End B, 3 mV