Kinematics PYQs Set 5 (PDF)

Set 5 of 12 · Questions 121-150 of 359

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Mere Teacher · Previous Year Questions NEET Physics · Kinematics · Set 5 (Q121-150)
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121. $The resultant of two vectors A and B is perpendicular to vector A and the resultant magnitude is equal to half of the magnitude of B, then the angle between A and B is$ (1) $30^{\circ}$ (2) $60^{\circ}$ (3) $150^{\circ}$ (4) $120^{\circ}$ 122. $A particle starts from the origin at t = 0 s with a velocity of 10 j m s^{- 1} and moves in the x - y plane with a constant acceleration of (8 i + 2 j) m s^{- 2} . At an instant when the x -coordinate of the particle is 16 m, y -coordinate of the particle is$ (1) $16 m$ (2) $28 m$ (3) $36 m$ (4) $24 m$ 123. $A ball is dropped from a bridge that is 45 m above the water. It falls directly into a boat which is moving with constant velocity. The boat is 12 m away from the point of impact when the ball is dropped. The speed of the boat is (take, g = 10 m / s^{2})$ (1) $2 m / s$ (2) $3 m / s$ (3) $4 m / s$ (4) $5 m / s$ 124. $Two trains A and B of length l and 4 l are travelling into a tunnel of length L in parallel tracks from opposite directions with velocities 108 km h^{- 1} and 72 km h^{- 1}, respectively. If train A take 35 s less time than train B to cross the tunnel then, length L of tunnel is: (Given L = 60 l)$ (1) $1200m$ (2) $900m$ (3) $1800m$ (4) $2700m$ 125. $A particles is performing a uniform circular motion along circle of radius ' R'. In half the period of revolution, its displacement and distance covered are respectively$ (1) $2 R, 2 πR$ (2) $R, πR$ (3) $2 R, 2 πR$ (4) $2 R, πR$ 126. $A particle is moving in a straight line. The variation of position ' x' as a function of time ' t' is given as x = (t^{3} - 6 t^{2} + 20 t + 15) m . The velocity of the body when its acceleration becomes zero is :$ (1) $4 m / s$ (2) $8 m / s$ (3) $10 m / s$ (4) $6 m / s$ 127. $A, B, C are points in a vertical line such that AB = BC . If a body falls freely from rest at A, t_{1} and t_{2} are times taken to travel distances AB and BC, then ratio (t_{2} / t_{1}) is$ (1) $2 + 1$ (2) $2 - 1$ (3) $22$ (4) $\frac{1}{2 + 1}$ 128. $A particle of mass m projected with a velocity ' u' making an angle of 30^{\circ} with the horizontal. The magnitude of angular momentum of the projectile about the point of projection when the particle is at its maximum height h is :$ (1) $\frac{3}{16} \frac{m u ^{3}}{g}$ (2) $\frac{3}{2} \frac{m u ^{2}}{g}$ (3) $\frac{m u ^{3}}{2 g}$ (4) $zero$ 129. $A particle is projected with velocity 2 gh and at an angle 60^{\circ} to the horizontal so that it just clears two walls of equal height h which are at a distance 2 h from each other. The time taken by the particle to travel between these two walls is$ (1) $2 \frac{2 h}{g}$ (2) $\frac{h}{2 g}$ (3) $2 \frac{h}{g}$ (4) $\frac{h}{g}$ 130. $A ball is thrown vertically downward with a velocity of 20 m / s from the top of a tower. It hits the ground after some time with a velocity of 80 m / s . The height of the tower is (g = 10 m / s^{2}) [NEET 2020]$ (1) $340 m$ (2) $320 m$ (3) $300 m$ (4) $360 m$ 131. $A clock has 75 cm, 60 cm long second hand and minute hand respectively. In 30 minutes duration the tip of second hand will travel x distance more than the tip of minute hand. The value of x in meter is nearly (Take π = 3.14) :$ (1) $140.5$ (2) $118.9$ (3) $139.4$ (4) $220.0$ 132. $The displacements of a particle starting from rest at t = 0 is given by s = 9 t^{2} - 2 t^{3} . The time in seconds at which the particle will attain zero velocity is$ (1) $8 s$ (2) $6 s$ (3) $4 s$ (4) $3 s$ 133. $A ball falls freely from a height h on a rigid horizontal plane. If the coefficient of restitution is e, then the total distance travelled by the ball before hitting the plane second time is$ (1) $he^{2}$ (2) $h (1 + 2 e^{2})$ (3) $h (1 - 2 e^{2})$ (4) $h (1 + e^{2})$ 134. $The co-ordinates of a particle moving in x - y plane are given by : x = 2 + 4 t, y = 3 t + 8 t^{2} . The motion of the particle is :$ (1) $uniformly accelerated having motion along a parabolic path.$ (2) $uniform motion along a straight line.$ (3) $uniformly accelerated having motion along a straight line.$ (4) $non-uniformly accelerated.$ 135. $A particle is projected with velocity u so that its horizontal range is three times the maximum height attained by it. The horizontal range of the projectile is given as \frac{n u ^{2}}{25 g}, where value of n is: (Given, ' g' is the acceleration due to gravity.)$ (1) $6$ (2) $12$ (3) $18$ (4) $24$ 136. $A shell is fired from a fixed artillery gun with an initial speed u such that it hits the target on the ground at a distance R from it. If t_{1} and t_{2} are the values of the time taken by it to hit the target in two possible ways, the product t_{1} t_{2} is:$ (1) $R /4 g$ (2) $R / g$ (3) $R /2 g$ (4) $2 R / g$ 137. $A rubber ball is released from a height of 5 m above the floor. It bounces back repeatedly, always rising to \frac{81}{100} of the height throughwhich it falls. Find the average speed of the ball. (Take = 10 ms^{- 2})$ (1) $3.0 ms^{- 1}$ (2) $3.50 ms^{- 1}$ (3) $2.0 ms^{- 1}$ (4) $2.50 ms^{- 1}$ 138. $Given below are two statements: one is labelled as Assertion A and the other is labelled as Reason R. Assertion A: When a body is projected at an angle 45°, its range is maximum. Reason R: For maximum range, the value of sin 2 θ should be equal to one. In the light of the above statements, choose the correct answer from the options given below:$ (1) $A is false but R is true$ (2) $A is true but R is false$ (3) $Both A and R are correct and R is the correct explanation of A$ (4) $Both A and R are correct but R is NOT the correct explanation of A$ 139. $For a projectile if α is the angle of projection, R is the range, h is the maximum height, T is the time of flight then$ (1) $tan α = \frac{R}{2 h}, h = \frac{g T ^{2}}{8}$ (2) $tan α = \frac{R}{4 h}, h = \frac{g T ^{2}}{8}$ (3) $tan α = \frac{4 h}{R}, h = \frac{g T ^{2}}{8}$ (4) $tan α = \frac{4 h}{?}, h = \frac{g T ^{2}}{4}$ 140. $At time t = 0, a particle leaves the origin and moves in the positive direction of the X -axis. If the velocity of the particles varies as v (t) = v_{0} (1 - \frac{t}{t _{0}}), (v_{0}) = 10 m / s and t_{0} = 10 s then the distance covered by the particle during the first 20 s is$ (1) $200 m$ (2) $100 m$ (3) $0 m$ (4) $400 m$ 141. $A person can throw a ball upto a maximum range of 100 m. How high above the ground he can throw the same ball?$ (1) $25m$ (2) $50m$ (3) $100 m$ (4) $200 m$ 142. $The water drops falls at regular intervals from a tap 5 m above the ground. The third drop is leaving the tap at instant the first drop touches the ground. How far above the ground is the second drop at that instant?$ (1) $3.75 m$ (2) $4.00 m$ (3) $1. 25 m$ (4) $2.50 m$ 143. $All the graphs below are intended to represent the same motion. One of them does it incorrectly. Pick it up.$ (1) (2) (3) (4) 144. $A particle starts its motion from rest under the action of a constant force. If the distance covered in first 10 seconds is S_{1} and that covered in the first 20 seconds is S_{2}, then$ (1) $S_{2} = 3 S_{1}$ (2) $S_{2} = 4 S_{1}$ (3) $S_{2} = S_{1}$ (4) $S_{2} = 2 S_{1}$ 145. $The x and y coordinates of the particle at any time are x = 5t - 2 t^{2} and y = 410t respectively, where x and y are in meters and t in seconds. The acceleration of the particle at t = 2s is:$ (1) $0$ (2) $5 m/ s^{2}$ (3) $- 4m/ s^{2}$ (4) $- 8 m/ s^{2}$ 146. $A car moving with a certain velocity, jumps from an inclined plane placed at one bank of a river and reaches the other bank by attained a maximum height of 80 m . If the same car, moving with the same velocity jumps from another inclined plane having different angle of inclination and reaches the same point on the other bank by attaining maximum height of 45 m, then the width of the river is$ (1) $80 m$ (2) $60 m$ (3) $125 m$ (4) $240 m$ 147. $The muzzle velocity of a certain rifle is 330 m s^{- 1} . At the end of one second, a bullet fired straight up into the air will travel a distance of$ (1) $(330 - 4.9) m$ (2) $330 m$ (3) $(330 + 4.9) m$ (4) $(330 - 9.8) m$ 148. $A particle of unit mass undergoes one-dimensional motion such that its velocity varies according to v (x) = β x^{- 2 n} where, β and n are constants and x is the position of the particle. The acceleration of the particle as a function of x, is given by$ (1) $- 2 n β^{2} x^{- 2 n - 1}$ (2) $- 2 n β^{2} x^{- 4 n - 1}$ (3) $- 2 β^{2} x^{- 2 n + 1}$ (4) $- 2 n β^{2} e^{- 4 n + 1}$ 149. $A ball is thrown vertically upward with an initial velocity of 150 m . The ratio of velocity after 3 s and 5 s is . The value of x is_____. {take, g= }$ (1) $10$ (2) $-5$ (3) $6$ (4) $5$ 150. $Two forces P and Q, of magnitude 2 F and 3 F, respectively,are at an angle θ with each other. If the force Q isdoubled, then their resultant also gets doubled. Then, theangle θ is:$ (1) $120^{\circ}$ (2) $60^{\circ}$ (3) $90^{\circ}$ (4) $30^{\circ}$