System of Particles and Rotational Motion - Result Question 18

18. Two racing cars of masses m and 4m are moving in circles of radii r and 2r respectively. If their speeds are such that each makes a complete circle in the same time, then the ratio of the angular speeds of the first to the second car is

(a) 8:1

(b) 4:1

(c) 2:1

(d) 1:1

[1995]

Topic 3: Torque, Couple and Angular Momentum

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Answer:

Correct Answer: 18. (d)

Solution:

  1. (d) We know that both the cars take the same time to complete the circle, therefore ratio of angular speeds of the cars will be 1:1.


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