6.PRACTICE TEST-3 (Paper-2)

PART - I (PHYSICS) SECTION - I Straight Objective Type This section contains 8 multiple choice questions. Each question has choices (A), (B), (C) and (D), out of which ONLY ONE is correct. 1. A block of mass m is being pulled up the rough incline by an agent delivering constant power P. The coefficient of friction between the block and the incline is µ. The maximum speed of the block during the course of ascent is P (A) v = mgsin  µmgcos  P (B) v = mgsin  µmgcos 2P (C) v = mgsin  µmgcos 3P (D) v = mgsin  µmgcos 3. A ring of mass 2 kg and of radius 0.25m is making 300rpm about an axis through its centre perpendicular to its plane. The tension (in newtons) developed in the ring is: (A) 50 (B) 100 (C) 175 (D) 250 4. A train of mass M is moving on a circular track of radius ' R ' with constant speed V. The length of the train is half of the perimeter of the track. The linear momentum of the train will be 2MV (A) 0 (B)  (C) MVR (D) MV 5. A rod of length 𝑙 is in motion such that its ends A and B are moving along d x-axis and y-axis respectively. It is given that dt = 2 rad/s always. P is a fixed point on the rod. Let M be the projection of P on x-axis. For the  time interval in which  changes from 0 to 2 , choose the correct statement, (A) The acceleration of M is always directed towards right (B) M executes SHM (C) M moves with constant speed (D) M moves with constant acceleration 10. Velocity of a particle varies as → V  yi  xj under the effect of a single variable force : (A) Force on the particle is conservative (B) Acceleration of the particle is ( xˆi  yˆj ) (C) Particle moves with constant speed. (D) possible path of the particle is only a circle. 11. Three projectiles are thrown all with same speed u but at different angles of projection ( >  >  ) all taken from horizontal. Maximum height attained by projectile (3) is H. Range of (1) & (3) is same & that of (2) is maximum for the given speed. At height H, speeds are v1 , v2 & v3 as shown. Total time of flights are T1, T2 & T3. Choose the correct statement(s). (A) v1 > v2 > v3 (B) v1 = v2 = v3 (C) T 2 , T 2 & T 2 are in AP (D)  ,  &  are in AP 1 2 3 1 2 3 12. A diverging electron beam enters a region of varying potentials (intersection of equi-spaced equipotential plane surfaces with the plane of paper is shown with their potentials mentioned in the figure). If before entering this region x & y components of velocity of electrons are 3 & respectively where m is mass of an electron & e is electronic charge then - V 4V 7V 10V x (A) Electron beam is converged (B) Electron beam is diverged (C) Electric field is uniform & directed towards negative x-axis. (D) Electric field is uniform & directed towards positive x-axis. SECTION - IV (Matrix - Match Type) This section contains 2 questions. Each question has four statements (A, B, C and D) given in Column I and five statements (p, q, r, s and t) in Column II. Any given statement in Column I can have correct matching with ONE or MORE statement(s) given in Column II. The answers to these questions have to be appropriately marked as illustrated in the following example. If the correct matches are A-p, A-r, B-p, B-s, C-r, C-s and D-q, D-t then the answer should be written as : A  p,r ; B  p, s ; C  r, s ; D  q, t. 19. The velocity time graph for a particle moving along a straight line is given in each situation of column-I. In the time interval  > t > 0, match the graph in column-I with corresponding statements in column-II\. Column-I Column-II (A) t (p) speed of particle is continously decreasing. (B) t (q) magnitude of acceleration of particle is decreasing with time. (C) t (r) direction of acceleration of particle does not change. (D) t (s) magnitude of acceleration of particle does not change. (t) magnitude of velocity first decreases than increases. PAPER-2 1. (A) 2. (B) 3. (D) 4. (B) 5. (B) 6. (B) 7. (A) 8. (B) 9. (A,B,D) 10. (A,C,D) 11. (B,C,D) 12. (A,C) 13. 7 14. 5 15. 2 16. 9 17. 2 18. 5 19. (A - r,s,t); (B - r,s,t); (C - p,q,r); (D - p,q,r) 20. (A - p,r); (B - q, r); (C - q,r); (D - q,r)

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