Doubts
Sign in
12thPass logo
New chatPYQ LibraryDoubtsRank report
Sign in to see Recents
Sign in to save progress →
Doubts
Sign in

Circular Motion question

2024 · 1 Feb · Shift 1 · Q78
Guest · try one question or challengeGuest · try one question or challenge
  1. PYQ Library
  2. /JEE Main
  3. /Physics
  4. /Circular Motion
  5. /2024 · 1 Feb · Shift 1 · Q78

Circular Motion question

2024 · 1 Feb · Shift 1 · Q78

JEE MainPhysicsCircular MotionMCQ+4 / −1
A particle moving in a circle of radius R\mathrm{R}R with uniform speed takes time T\mathrm{T}T to complete one revolution. If this particle is projected with the same speed at an angle θ\thetaθ to the horizontal, the maximum height attained by it is equal to 4R4 R4R. The angle of projection θ\thetaθ is then given by :
  1. A
    sin⁡−1[2gT2π2R]12\sin ^{-1}\left[\frac{2 \mathrm{gT}^2}{\pi^2 \mathrm{R}}\right]^{\frac{1}{2}}sin−1[π2R2gT2​]21​
  2. B
    sin⁡−1[π2R2gT2]12\sin ^{-1}\left[\frac{\pi^2 \mathrm{R}}{2 \mathrm{gT}^2}\right]^{\frac{1}{2}}sin−1[2gT2π2R​]21​
  3. C
    cos⁡−1[πR2gT2]12\cos ^{-1}\left[\frac{\pi \mathrm{R}}{2 \mathrm{gT}^2}\right]^{\frac{1}{2}}cos−1[2gT2πR​]21​
  4. D
    cos⁡−1[2gT2π2R]12\cos ^{-1}\left[\frac{2 \mathrm{gT}^2}{\pi^2 \mathrm{R}}\right]^{\frac{1}{2}}cos−1[π2R2gT2​]21​
PreviousNext

More from Circular Motion

  • A cyclist starts from the point P of a circular ground of radius 2 km and travels along its circumference to the point S. The displacement of a cyclist is: Includes diagram2024 · MCQ
  • A man carrying a monkey on his shoulder does cycling smoothly on a circular track of radius 9 m and completes 120 resolutions in 3 minutes. The magnitude of centripetal acceleration of monkey is (in m/s2…2024 · MCQ
  • A car of 800 kg is taking turn on a banked road of radius 300 m and angle of banking 30∘. If coefficient of static friction is 0.2 then the maximum speed with which car can negotiate the turn safely: (g=10 m/s2,3​=1.73)…2024 · MCQ
  • A clock has 75 cm,60 cm long second hand and minute hand respectively. In 30 minutes duration the tip of second hand will travel x distance more than the tip of minute hand. The value of x in meter is nearly…2024 · MCQ
  • A train is moving with a speed of 12 m/s on rails which are 1.5 m apart. To negotiate a curve radius 400 m, the height by which the outer rail should be raised with respect to the inner rail…2024 · MCQ
  • If the radius of curvature of the path of two particles of same mass are in the ratio 3:4, then in order to have constant centripetal force, their velocities will be in the ratio of :2024 · MCQ
  • A stone of mass 900 g is tied to a string and moved in a vertical circle of radius 1 m making 10 rpm. The tension in the string, when the stone is at the lowest point is (if π2=9.8 and g=9.8 m/s2…2024 · MCQ
  • A particle is moving in a circle of radius 50 cm in such a way that at any instant the normal and tangential components of it's acceleration are equal. If its speed at t=0 is 4 m/s, the time…2024 · Numerical