Q. 5 Which one of the following describes the relationship among the three vectors, ++k, 2 +3+k and 51 +6+4k ? (A) The vectors are mutually perpendicular (B) The vectors are linearly dependent (C) The vectors are linearly independent (D) The vectors are unit vectors m Q. 6 A circular rod of length 'L' and area of cross-section 'A' has a modulus of elasticity E' and coefficient of thermal expansion 'a'. One end of the rod is fixed and other end is free. If the temperature of the rod is increased by AT, then (A) stress developed in the rod is E a AT and strain developed in the rod is a AT (B) both stress and strain developed in the rod are zero (C) stress developed in the rod is zero and strain developed in the rod is a AT (D) stress developed in the rod is E a AT and strain developed in the rod is zero Q. 7 A metallic rod of 500 mm length and 50 mm diameter, when subjected to a tensile force of 100 kN at the ends, experiences an increase in its length by 0.5 mm and a reduction in its diameter by 0.015 mm. The Poisson's ratio of the rod material is Q. 9 A circular object of radius r rolls without slipping on a horizontal level floor with the center having velocity V. The velocity at the point of contact between the object and the floor is (A) zero (B) V in the direction of motion (C) V opposite to the direction of motion (D) V vertically upward from the floor