JEE Advanced 2020 Full Test 1 Paper 1

A parallel square plate capacitor of side 'a' is connected to a cell of emf 3 volt. A dielectric of mass m=0.1kg and dielectric constant 'K' initially completely fills the space between plate of parallel plate capacitor. The dielectric is connected to a solid cylinder of mass m=0.1kg through the string. Cylinder is pulled by a tangential force F=1N and acting on top of cylinder. The surface between cylinder and horizontal surface is enough rough to prevent slipping. The distance between plate is d. The graph between the current through the cell V.S time ' t ' is a straight line till dielectric leaves the capacitor. Find the slope of straight line
[ Given ‌

E0a(K−1)

d

=‌

1

9

]