Test Instructions:
- This Mock test contains 30 MCQ questions.
- Choice and sequence for attempting questions will be as per the convenience of the candidate.
- Read each question carefully.
- Determine the one correct answer out of the four available options given for each question.
- Each question awards you 1 point.
- You can end the test any time by clicking “quiz summary>finish quiz”.
- The mock test will automatically be submitted when the time is up.
- You can review all questions once again and evaluate your mistakes by clicking “view questions” when the result is displayed.
- You can apply for Leaderboard when the result is displayed.
- You can re-attempt the exam as per your wish, yet scores of the first attempt will be recorded!
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- Question 1 of 30
1. Question
1 point(s)In Uniform Circular Motion
CorrectIncorrect - Question 2 of 30
2. Question
1 point(s)Two particles of equal masses are revolving in circular paths of radii r1 and r2 respectively with the same speed. The ratio of centripetal forces is
CorrectIncorrect - Question 3 of 30
3. Question
1 point(s)The safety speed of a vehicle on a curve horizontal road is
CorrectIncorrect - Question 4 of 30
4. Question
1 point(s)A racing car of mass 10² kg goes around a circular track (horizontal) of radius 10m. The maximum thrust track that can withstand is 10^5 N . The maximum speed with which car can go around is
CorrectIncorrect - Question 5 of 30
5. Question
1 point(s)A body of mass m is tied to a string is tied to a string of length l and whirled in a vertical circle. The velocity of the body at the lowest position is u . Then the tension in the string at position when the string makes an angle Θ with the vertical isCorrectIncorrect - Question 6 of 30
6. Question
1 point(s)The dimensional formula for the radius of gyration of a body isCorrectIncorrect - Question 7 of 30
7. Question
1 point(s)Radius of gyration of a disc rotating about a tangent in its plane is
CorrectIncorrect - Question 8 of 30
8. Question
1 point(s)M.I of a thin uniform circular disc about one of the diameters is I. Its M.I about an axis perpendicular to the plane of disc and passing through its centre is
CorrectIncorrect - Question 9 of 30
9. Question
1 point(s)A Uniform stick of length l and mass m lies on a smooth table. It rotates with angular velocity ω about an axis perpendicular to the table and through one end of stick. The angular momentum of the stick about the end is
CorrectIncorrect - Question 10 of 30
10. Question
1 point(s)A particle of mass M and radius of gyration K is rotating with angular acceleration α. The torque acting on particle is
CorrectIncorrect - Question 11 of 30
11. Question
1 point(s)Angular speed of hour hand of a clock in degree per second is _
CorrectIncorrect - Question 12 of 30
12. Question
1 point(s)The difference between angular speed of minute hand and second hand of clock is
CorrectIncorrect - Question 13 of 30
13. Question
1 point(s)The angular separation between the minute hand and the hour hand of a clock at 12:20 pm is
CorrectIncorrect - Question 14 of 30
14. Question
1 point(s)Two cars of masses m1 and m2 are moving in circles of radii r1 and r2 respectively. Their speeds are such that they make complete circles in same time t . The ratio of centripetal acceleration is
CorrectIncorrect - Question 15 of 30
15. Question
1 point(s)Which of the following statements is false ?
Centripetal force and centrifugal force is
CorrectIncorrect - Question 16 of 30
16. Question
1 point(s)One end of string of length l is connected to a particle of mass ‘m’ and the other end is connected to small peg on a smooth horizontal table. If the particle moves in circle with speed ‘v’ . the net force on particle (directed towards centre) will be (T represents the tension in string)
CorrectIncorrect - Question 17 of 30
17. Question
1 point(s)A coin is placed on a rotating turn table rotated with angular speed ω. The coin just slips if it is placed at 4cm from the center of table. If the angular velocity is doubled, at what distance will coin starts to slip
CorrectIncorrect - Question 18 of 30
18. Question
1 point(s)Two particles A and B are moving in uniform circular motion in concentric circles of radii rA and rB with speed vA and vB respectively . Their time period of rotation is the same. The ratio of angular speeds of A to that of B will be
CorrectIncorrect - Question 19 of 30
19. Question
1 point(s)A car is negotiating a curved road of radius R. The road is banked at an angle is Θ. The coefficient of friction between the tyres of the car and road is µ(s) . The maximum safe velocity on ground will be
CorrectIncorrect - Question 20 of 30
20. Question
1 point(s)For a particle moving in vertical circle, the total energy at different positions along the path
CorrectIncorrect - Question 21 of 30
21. Question
1 point(s)What is the minimum velocity with which a body of mass m must enter a vertical loop of radius R so that it can be complete the loop?
CorrectIncorrect - Question 22 of 30
22. Question
1 point(s)A uniform cylinder has length ‘L’ and radius ‘R’ . The moment of inertia of the cylinder about an axis passing through its centre and perpendicular to its length is equal to moment of inertia of the same cylinder about an axis passing through its centre and perpendicular to its circular face. The relation between ‘L’ and ‘R’ is
CorrectIncorrect - Question 23 of 30
23. Question
1 point(s)The radius of gyration of a uniform rod of length l about an axis passing through a point l/4 away from the centre of the rod and perpendicular to to it is
CorrectIncorrect - Question 24 of 30
24. Question
1 point(s)A rope is wound around a hollow cylinder of mass 3kg and radius 40cm . What is angular acceleration of cylinder if the rope is pulled with force of 30N?
CorrectIncorrect - Question 25 of 30
25. Question
1 point(s)A disc has mass ‘M’ and radius ‘R’ . How much tangential force should be applied to the rim of the disc so as to rotate with angular velocity ω in time t ?
CorrectIncorrect - Question 26 of 30
26. Question
1 point(s)A wheel of moment of inertia 2kgm² is rotating about an axis passing through centre and perpendicular to its plane at a speed s60rad/s. Due to friction, it comes to rest in 5 minutes. The angular momentum of the wheel three minutes before it stops rotating is
CorrectIncorrect - Question 27 of 30
27. Question
1 point(s)When ‘W’ joule of work done on a flywheel . its frequency of rotation increases from n1 Hz to n2 Hz . The M.I of flywheel about its axis of rotation is given by
CorrectIncorrect - Question 28 of 30
28. Question
1 point(s)A solid cylinder of mass 2kg and radius 4cm is rotating about its axis at the rate of 3 rpm . The torque required to stop after 2π revolutions is
CorrectIncorrect - Question 29 of 30
29. Question
1 point(s)A particle is moving in a circular path of radius a under the action of an attractive potential U = -k/2r² . Its total energy is
CorrectIncorrect - Question 30 of 30
30. Question
1 point(s)For increasing the angular velocity of a object by 10%, the kinetic energy has to be increased by
CorrectIncorrect