Kinematics PYQs Set 6 (PDF)

Set 6 of 14 · Questions 151-180 of 405

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Mere Teacher · Previous Year Questions JEE Main Physics · Kinematics · Set 6 (Q151-180)
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151. $A person can throw a ball upto a maximum range of 100 m. How high above the ground he can throw the same ball?$ (1) $25m$ (2) $50m$ (3) $100 m$ (4) $200 m$ 152. $The water drops falls at regular intervals from a tap 5 m above the ground. The third drop is leaving the tap at instant the first drop touches the ground. How far above the ground is the second drop at that instant?$ (1) $3.75 m$ (2) $4.00 m$ (3) $1. 25 m$ (4) $2.50 m$ 153. $All the graphs below are intended to represent the same motion. One of them does it incorrectly. Pick it up.$ (1) (2) (3) (4) 154. $A particle starts its motion from rest under the action of a constant force. If the distance covered in first 10 seconds is S_{1} and that covered in the first 20 seconds is S_{2}, then$ (1) $S_{2} = 3 S_{1}$ (2) $S_{2} = 4 S_{1}$ (3) $S_{2} = S_{1}$ (4) $S_{2} = 2 S_{1}$ 155. $The x and y coordinates of the particle at any time are x = 5t - 2 t^{2} and y = 410t respectively, where x and y are in meters and t in seconds. The acceleration of the particle at t = 2s is:$ (1) $0$ (2) $5 m/ s^{2}$ (3) $- 4m/ s^{2}$ (4) $- 8 m/ s^{2}$ 156. $A car moving with a certain velocity, jumps from an inclined plane placed at one bank of a river and reaches the other bank by attained a maximum height of 80 m . If the same car, moving with the same velocity jumps from another inclined plane having different angle of inclination and reaches the same point on the other bank by attaining maximum height of 45 m, then the width of the river is$ (1) $80 m$ (2) $60 m$ (3) $125 m$ (4) $240 m$ 157. $The muzzle velocity of a certain rifle is 330 m s^{- 1} . At the end of one second, a bullet fired straight up into the air will travel a distance of$ (1) $(330 - 4.9) m$ (2) $330 m$ (3) $(330 + 4.9) m$ (4) $(330 - 9.8) m$ 158. $A particle of unit mass undergoes one-dimensional motion such that its velocity varies according to v (x) = β x^{- 2 n} where, β and n are constants and x is the position of the particle. The acceleration of the particle as a function of x, is given by$ (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) $- 2 n β^{2} e^{- 4 n + 1}$ 159. $A ball is thrown vertically upward with an initial velocity of 150 m . The ratio of velocity after 3 s and 5 s is . The value of x is_____. {take, g= }$ (1) $10$ (2) $-5$ (3) $6$ (4) $5$ 160. $Two forces P and Q, of magnitude 2 F and 3 F, respectively,are at an angle θ with each other. If the force Q isdoubled, then their resultant also gets doubled. Then, theangle θ is:$ (1) $120^{\circ}$ (2) $60^{\circ}$ (3) $90^{\circ}$ (4) $30^{\circ}$ 161. $Which of the following decreases, in motion on a straight line, with constant retardation?$ (1) $Speed$ (2) $Acceleration$ (3) $Displacement$ (4) $Distance$ 162. $The resultant magnitude of two vectors of same magnitude is equal to magnitude of either. The angle between the two vectors is$ (1) $30^{\circ}$ (2) $60^{\circ}$ (3) $90^{\circ}$ (4) $120^{\circ}$ 163. $The maximum vertical height to which a man can throw a ball is 136 m. The maximum horizontal distance upto which he can throw the same ball is$ (1) $192m$ (2) $136m$ (3) $272 m$ (4) $68 m$ 164. $Which of the following statements is true regarding the vector product of two vectors?$ (1) $The vector product of two vectors changes sign under reflection$ (2) $Vector product is commutative.$ (3) $Vector product of two parallel vectors is a null vector.$ (4) $Vector product of two vectors is a scalar.$ 165. $A body is moving with velocity 30 m/s towards east. After 10 seconds its velocity becomes 40 m/s towards north. The average acceleration of the body is:$ (1) $1 m/ s^{2}$ (2) $7 m/ s^{2}$ (3) $m/ s^{2}$ (4) $5 m/ s^{2}$ 166. $The component of a vector r along x -axis will have a maximum value if$ (1) $r is along +ve x -axis$ (2) $r is along +ve y -axis$ (3) $r is along-ve y -axis$ (4) $r makes an angle of 45^{\circ} with the x-axis$ 167. $An object of mass 5 kg is thrown vertically upwards from the ground. The air resistance produces a constant retarding force of 10 N throughout the motion. The ratio of time of ascent to the time of descent will be equal to : [Use g = 10 m s^{- 2}]$ (1) $1 : 1$ (2) $2 : 3$ (3) $3 : 2$ (4) $2 : 3$ 168. $A particle moves from the point (2.0 i^+ 4.0 j^) m, at t = 0, with an initial velocity (5.0 i^+ 4.0 j^) m s^{- 1} . It is acted upon by a constant force which produces a constant force which produces a constant acceleration (4.0 i^+ 4.0 j^) m s^{- 2} . What is the distance of the particle from the origin at time 2 s?$ (1) $202 m$ (2) $15 m$ (3) $102 m$ (4) $5 m$ 169. $At a metro station, a girl walks up a stationary escalator in 20 sec . If she remains stationary on the escalator, then the escalator take her up in 30 sec . The time taken by her to walk up on the moving escalator will be$ (1) $12 sec$ (2) $10 sec$ (3) $25 sec$ (4) $60 sec$ 170. $A projectile is projected with velocity of 25 m/s at an angle θ with the horizontal. After t seconds its inclination with horizontal becomes zero. If R represents horizontal range of the projectile, the value of θ will be : [use g = 10 m/ s^{2}]$ (1) $\frac{1}{2} sin^{- 1} (\frac{5 t ^{2}}{4 R})$ (2) $\frac{1}{2} sin^{- 1} (\frac{4 R}{5 t ^{2}})$ (3) $tan^{- 1} (\frac{4 t ^{2}}{5 R})$ (4) $cot^{- 1} (\frac{R}{20 t ^{2}})$ 171. $A car starts at time t = 0 from an initial speed of 10 m / s and accelerates uniformly with 2 m / s^{2} on a straight road for time 0 \leq t \leq 10 s . Let S_{1} and S_{2} be the distance covered by the car in time 3 \leq t \leq 4 s and 4 \leq t \leq 5 s respectively. The ratio \frac{S _{2}}{S _{1}} is$ (1) $1$ (2) $\frac{19}{7}$ (3) $\frac{9}{7}$ (4) $None$ 172. $The trajectory a projectile in a vertical plane is y = αx - β x^{2}, where α and β are constants and x ∖ & y arerespectively the horizontal and vertical distance of the projectile from the point of projection. The angle ofprojection θ and the maximum height attained H are respectively given by:$ (1) $tan^{- 1} α, \frac{α ^{2}}{4 β}$ (2) $tan^{- 1} β, \frac{α ^{2}}{2 β}$ (3) $tan^{- 1} (\frac{β}{α}), \frac{α ^{2}}{β}$ (4) $tan^{- 1} α, \frac{4 α ^{2}}{β}$ 173. $A person standing on the floor of an elevator drops a coin. The coin reaches the floor in time t_{1} if the elevator is moving uniformly. Then depending upon whether the lift is going up or down$ (1) $t_{1} < t_{2} or t_{1} > t_{2}$ (2) $t_{1} < t_{2}$ (3) $t_{1} > t_{2}$ (4) $t_{1} = t_{2}$ 174. $A projectile with speed 50 ms^{- 1} is thrown at an angie or 60^{\circ} with the horizontal. The maximum height that can be reached is$ (1) $90.75 m$ (2) $70.00 m$ (3) $. 85.00 m$ (4) $93.75 m$ 175. $The distance x covered by a particle in one dimensional motion varies with time t as x^{2} = a t^{2} + 2 bt + c If the acceleration of the particle depends on x as x^{- n} where n is an integer, the value of n is$ 176. $The displacement and the increase in the velocity of a moving particle in the time interval of t to (t + 1) s are 125 m and 50 m / s, respectively. The distance travelled by the particle in (t + 2)^{th} s is_______ m.$ 177. $A fighter jet is flying horizontally at a certain altitude with a speed of 200 m s^{- 1} . When it passes directly overhead an anti-aircraft gun, bullet is fired from the gun, at an angle θ with the horizontal, to hit the jet. If the bullet speed is 400 m/s, the value of θ will be............°.$ 178. $Two bodies are projected from ground with same speeds 40 m s^{- 1} at two different angles with respect to horizontal. The bodies were found to have same range. If one of the body was projected at an angle of 60°, with horizontal then sum of the maximum heights, attained by the two projectiles, is _______m. (Given g= 10 m s^{- 2})$ 179. $A man of 60 kg is running on the road and suddenly jumps into a stationary trolly car of mass 120 kg. Then, the trolly car starts moving with velocity 2 m s^{- 1} . The velocity of the running man was________________m s^{- 1} . when he jumps into the car.$ 180. $A ball of mass 0.5 kg is dropped from the height of 10m. The height, at which the magnitude of velocity becomes equal to the magnitude of acceleration due to gravity, is...............m. (Use g = 10 m/ s^{2}).$