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Set 12 of 14 · Questions 331-360 of 405

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JEE Main Physics · Kinematics · Set 12 (Q331-360)

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  1. 331.
    Form the v - t graph shown, the ratio of distance to displacement in 25 s of motion is:
    1. (1)1
    2. (2)
    3. (3)
    4. (4)
  2. 332.
    A small toy starts moving from the position of rest under a constant acceleration. If it travels a distance of 10m in t s,. the distance travelled by the toy in the next t s will be :
    1. (1)10m
    2. (2)20m
    3. (3)30m
    4. (4)40m
  3. 333.
    A small steel ball is dropped into a long cylinder containing glycerine. Which one of the following is the correct representation of the velocity time graph for the transit of the ball?
    1. (1)
    2. (2)
    3. (3)
    4. (4)
  4. 334.
    A car moving with peed o can be stopped by applying brakes after at least 2 . If the same car is moving with aspeed of 80 , what is the minimum stopping distance?
    1. (1)4
    2. (2)6
    3. (3)8
    4. (4)2
  5. 335.
    Ship A is sailing towards north-east with velocity where points east and north. Ship is at a distance of east and north of Ship and is sailing towards west at . A will be at minimum distance from in:
    1. (1)
    2. (2)
    3. (3)
    4. (4)
  6. 336.
    A ball is thrown vertically up (taken as -axis) from the ground. The correct momentum-height diagram is:
    1. (1)
    2. (2)
    3. (3)
    4. (4)
  7. 337.
    Two cars, at a certain instant, are apart on a line running from south to north. The one farther north is moving west at . The other is moving towards north at . How long do they take to reach their distance of closest approach?
    1. (1)
    2. (2)
    3. (3)
    4. (4)
  8. 338.
    A particle moves so that its position vector is given by . Where ω is a constant. Which of the following is true?
    1. (1)Velocity is perpendicular to and acceleration is directed away from the origin.
    2. (2)Velocity and acceleration both are perpendicular to .
    3. (3)Velocity and acceleration both are parallel to .
    4. (4)Velocity is perpendicular to and acceleration is directed towards the origin.
  9. 339.
    A boy standing at the top of a tower of 20 height drops a stone. Assuming the velocity with which it hits the ground is
    1. (1)10.0
    2. (2)20.0
    3. (3)40.0
    4. (4)5.0
  10. 340.
    A body is thrown vertically upwards. Which one of the following graphs correctly represent the velocity vs time?
    1. (1)
    2. (2)
    3. (3)
    4. (4)
  11. 341.
    The position of a particle varies with time, (t) as . The acceleration will be zero at time is equal to
    1. (1)
    2. (2)zero
    3. (3)
    4. (4)
  12. 342.
    A person aiming to reach exactly opposite point on the bank of a stream is swimming with a speed of 0.5 at an angle of with the direction of flow of water. The speed of water in the stream, is
    1. (1)0.25
    2. (2)0.5
    3. (3)1.0
    4. (4)0.433
  13. 343.
    The velocity of a particle having magnitude of in the direction of with positive -axis is
    1. (1)
    2. (2)
    3. (3)
    4. (4)
  14. 344.
    A projectile is fired from the surface of the earth with a velocity of 5 and angle 6 with the horizontal. Another projectile fired from another planet with a velocity of 3 at the same angle follows a trajectory which is identical with the trajectory of the projectile fired from the earth. The value of the acceleration due to gravity on the planet is in isGiven
    1. (1)3.5
    2. (2)5.9
    3. (3)16.3
    4. (4)110.8
  15. 345.
    An object of mass 'm' is being moved with a constant velocity under the action of an applied force of 2N along a frictionless surface with following surface profile.

    The correct applied force vs distance graph will be:
    1. (1)
    2. (2)
    3. (3)
    4. (4)
  16. 346.
    A particle moves a distance in time according to equation . The acceleration of particle is proportional to
    1. (1)
    2. (2)
    3. (3)
    4. (4)
  17. 347.
    A particle of mass is projected with velocity making an angle of with the horizontal. When the particle lands on the level ground the magnitude of the change in its momentum will be
    1. (1)
    2. (2)zero
    3. (3)
    4. (4)
  18. 348.
    A ball is projected with kinetic energy E, at an angle of 60° to the horizontal. The kinetic energy of this ball at the highest point of its flight will become :
    1. (1)Zero
    2. (2)
    3. (3)
    4. (4)E
  19. 349.
    A person moved from A to B on a circular path as shown in figure. If the distance travelled by him is 60 m, then the magnitude of displacement would be : (Given cos135° = -0.7)
    1. (1)42 m
    2. (2)47 m
    3. (3)19m
    4. (4)40m
  20. 350.
    A body is projected vertically upwards. The times corresponding to height while ascending and while descending are and respectively. Then the velocity of projection is ( is acceleration due to gravity)
    1. (1)
    2. (2)
    3. (3)
    4. (4)
  21. 351.
    A body dropped from top of a tower fall through 40 during the last two seconds of its fall. The height of tower is
    1. (1)60
    2. (2)45
    3. (3)80
    4. (4)50
  22. 352.
    The distance travelled by an object in time t is given by s =(2.5). The instantaneous speed of the object at t = 5 s will be :
    1. (1)
    2. (2)
    3. (3)62.
    4. (4)12.
  23. 353.
    The relation between time t and distance x for a moving body is given as , where m land n are constants. The retardation of the motion
    1. (1)
    2. (2)
    3. (3)
    4. (4)
  24. 354.
    A car accelerates from rest at a constant rate for some time after which it decelerates at a constant rate to come to rest. If the total timeelapsed is seconds, the total distance travelledis:
    1. (1)
    2. (2)
    3. (3)
    4. (4)
  25. 355.
    A car moves a distance of 200 . It covers the first half of the distance at speed 40 and the second half of distance at speed The average speed is 48 . The value of is
    1. (1)56
    2. (2)60
    3. (3)50
    4. (4)48
  26. 356.
    A particle of unit mass undergoes one-dimensional motion such that its velocity varies according to: v(x) = b where b and n are constants and x is the position of the particle. The acceleration of the particle as function of x, is given by:
    1. (1)– x
    2. (2)– x
    3. (3)– e
    4. (4)– x
  27. 357.
    An object is projected in the air with initial velocity u at an angle. The projectile motion is such that the horizontal range R, is maximum. Another object is projected in the air with a horizontal range half of the range of first object. The initial velocity remains same in both the case. The value of the angle of projection, at which the second object is projected, will be_______ degree. (Mark the smallest angle possible)
  28. 358.
    If the initial velocity in horizontal direction of a projectile is unit vector and the equation of trajectory is y = 5x(1-x). The y component vector of the initial velocity is_____(Take g=10m/)
  29. 359.
    The maximum speed of a boat in still water is . Now this boat is moving downstream in a river flowing at . A man in the boat throws a ball vertically upwards with speed of . Range of the ball as observed by an observer at rest on the river bank, is (Take
  30. 360.
    A body of mass thrown horizontally with velocity from the top of the tower of height touches the ground at a distance of 100 m from the foot of the tower. A body of mass 2 M thrown at a velocity from the top of the tower of height 4 H will touch the ground at a distance of _____ m.