1.

Two resistors R_(1) and R_(2) can slide without friction along two parallel metal guides dierected at an angle alpha to the horizontal and separated by a distance b . The guides are not connected at the bottom as shown. The entire system is placed in an upwardmagnetic field which decreases with time as (dB)/(dt) = beta ,x = 0 and x - axis is along the guide as shown in the figure. The resistors are made to slide with a constant velocity v downwards . The emf induced due to decreases of B with time only ( and the direction of current in loop ) respectively (ACW rarr anticlockwise, CW rarr clockwise )

Answer»

AB `alpha` (ACW)
`(a^(2))/(b)alpha` (CW)
ab `alpha`( CW)
`(a^(2))/(b) alpha `(ACW)

Solution :`PHI` = ab B
e = - `(d phi )/(DT) = "ab" ( - (dB)/(dt)) = ab alpha ` ANTICLOCKWISE as seen from above.
`therefore` (A)


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