Quantrex Quantrex AcademyJEE · NEET · NDA PYQs with solutions Open app
NEETPhysicsMotion in Two Dimensions

Two athletes are running on concentric circular tracks of radii R and 2R . They start simultaneously and complete one full lap at the exact same instant. The ratio of their linear speeds is:

Options

  1. A1:1
  2. B2:1
  3. C1:2
  4. D1:4

Correct answer

C. 1:2

Step-by-step solution

Since both athletes complete one full lap in the same time, their time periods T are equal. Angular speed is given by = 2 T . Since T is the same, is the same for both athletes. The linear speed is related to angular speed by v = r . Therefore, the ratio of their linear speeds is v₁ v₂ = R (2R) = 1 2 , which is 1:2 . Answer: 1:2

Practice Motion in Two Dimensions on Quantrex Academy →

More from Motion in Two Dimensions

A particle moving with uniform speed in a circular path maintains: 2024A bob is whirled in a horizontal plane by means of a string with an initial speed of rpm. The tension in the string is T . If speed becomes 2 while keeping the same radius, the ten 2024A particle is executing uniform circular motion with velocity v and acceleration a . Which of the following is true? 2023A ball is projected from point A with velocity 20 ~m ~s ⁻¹ at an angle 60^ to the horizontal direction. At the highest point B of the path (as shown in figure), the velocity v ~m ~ 2023A bullet is fired from a gun at the speed of   280   m   s - 1 in the direction 30 ° above the horizontal. The maximum height attained by the bullet is ( g = 9 2023A constant torque of 100 ~N ~m turns a wheel of moment of inertia 300 ~kg ~m ^2 about an axis passing through its centre. Starting from rest, its angular velocity after 3 ~s is 2023A ball is projected with a velocity, 10   m   s - 1 , at an angle of 60 ° with the vertical direction. Its speed at the highest point of its trajectory will be 2022A cricket ball is thrown by a player at a speed of 20 ~m / s in a direction 30^ above the horizontal. The maximum height attained by the ball during its motion is (g=10 ~m / s ^2 ) 2022 Full Motion in Two Dimensions list All NEET PYQs