JEE (ADVANCED) 2018 PAPER 2
Q.1 A particle of mass ݉ is initially at rest at the origin. It is subjected to a force and starts moving along the -ݔaxis. Its kinetic energy ܭchanges with time as is a positive constant of appropriate dimensions. Which of the following statements is (are) true?
(A) The force applied on the particle is constant
(B) The speed of the particle is proportional to time
(C) The distance of the particle from the origin increases linearly with time
(D) The force is conservative
Q.2 Consider a thin square plate floating on a viscous liquid in a large tank. The height ݄ of the liquid in the tank is much less than the width of the tank. The floating plate is pulled horizontally with a constant velocity. u0 Which of the following statements is (are) true?
(A) The resistive force of liquid on the plate is inversely proportional to ݄
(B) The resistive force of liquid on the plate is independent of the area of the plate
(C) The tangential (shear) stress on the floor of the tank increases with u0
(D) The tangential (shear) stress on the plate varies linearly with the viscosity of the liquid
Q.3 An infinitely long thin non-conducting wire is parallel to the -ݖaxis and carries a uniform line charge density .ߣIt pierces a thin non-conducting spherical shell of radius ܴ in such way that the arc ܲܳ subtends an angle 120° at the centre ܱ of the spherical shell, as shown in the figure. The permittivity of free space is ߳. Which of the following statements is (are) true?