6. An annular disk of mass M, inner radius a and outer radius b is placed on a horizontal surface with coefficient of friction , as shown in the figure. At some time, an impulse Jox is applied at a height h above the center of the disk. If h = hm then the disk rolls without slipping along the x-axis. Which of the following statement(s) is (are) correct? L. (A) For = 0 and a 0, hm = bl2 (B) For 0 and a b, hm = b (C) For h = hm, the initial angular velocity does not depend on the inner radius a (D) For = 0 and h = 0, the wheel always slides without rolling 7. The electric field associated with an electromagnetic wave propagating in a dielectric medium is given by E=30(2x+y)sin 25x1014t- 510141-107) m1. 3 -z Vm. Which of the following option(s) is (are) correct? [Given: The speed of light in vacuum, c = 3 x 10 ms-] (A) Bx=-2x10-7 sin 2x 5x 1014 t 1014107 (B) By=2x10-7 sin 2m 5x1014t- 7 sin 2n 51014_1077)] Wb m BBYJU (C) The wave is polarized in the xy-plane with polarization angle 30 with respect to the x-axis (D) The refractive index of the medium is 2 8. A thin circular coin of mass 5 gm and radius 4/3 cm is initially in a horizontal xy-plane. The coin is tossed vertically up (+z direction) by applying an impulse of x10-2 N-s at a distance 2/3 cm from its center. The coin spins about its diameter and moves along the +z direction. By the time the coin reaches back to its initial position, it completes n rotations. The value of n is [Given: The acceleration due to gravity g = 10 ms-] 4/3 cm 2/3 cm Impulse 9. A rectangular conducting loop of length 4 cm and width 2 cm is in the xy-plane, as shown in the figure. It is 31 being moved away from a thin and long conducting wire along the direction + with a constant speed v. The wire is carrying a steady current /= 10 A in the positive x-direction. A current of 10 A flows through the loop when it is at a distance d = 4 cm from the wire. If the resistance of the loop is 0.1 Q, then the value of v is ms [Given: The permeability of free space = 4 x 107 NA 4 cm 2 cm V /= 10 A