Sign in
12thPass logo
New chatPYQ LibraryDoubtsRank report
Sign in to see Recents

Your guest activity stays on this device

Sign in to save progress →
Sign in

Motion in A Plane question

2024 · Q194
Guest · filters and generic practice availableBrowsing as a guest · PYQ filters and generic practice are available. Sign in only for personalised features and saved progress.
  1. PYQ Library
  2. /NEET
  3. /Physics
  4. /Motion in A Plane
  5. /2024 · Q194

Motion in A Plane question

2024 · Q194

NEETPhysicsMotion in A PlaneMCQ+4 / −1

Let ω1,ω2\omega_1, \omega_2ω1​,ω2​ and ω3\omega_3ω3​ be the angular speed of the second hand, minute hand and hour hand of a smoothly running analog clock, respectively. If x1,x2x_1, x_2x1​,x2​ and x3x_3x3​ are their respective angular distances in 1 minute then the factor which remains constant (k)(k)(k) is

  1. A
    ω1x1=ω2x2=ω3x3=k\frac{\omega_1}{x_1}=\frac{\omega_2}{x_2}=\frac{\omega_3}{x_3}=kx1​ω1​​=x2​ω2​​=x3​ω3​​=k
  2. B
    ω1x1=ω2x2=ω3x3=k\omega_1 x_1=\omega_2 x_2=\omega_3 x_3=kω1​x1​=ω2​x2​=ω3​x3​=k
  3. C
    ω1x12=ω2x22=ω3x32=k\omega_1 x_1^2=\omega_2 x_2^2=\omega_3 x_3^2=kω1​x12​=ω2​x22​=ω3​x32​=k
  4. D
    ω12x1=ω22x2=ω32x3=k\omega_1^2 x_1=\omega_2^2 x_2=\omega_3^2 x_3=kω12​x1​=ω22​x2​=ω32​x3​=k
View written solutionFree

Correct answer: A

$$\begin{aligned} & \omega_1=\frac{2 \pi}{60} ; \quad x_1=\frac{2 \pi}{60} \times 60=2 \pi \\\\ & \omega_2=\frac{2 \pi}{3600} ; \quad x_2=\frac{2 \pi}{3600} \times 60=\frac{2 \pi}{60} \\\\ & \omega_3=\frac{2 \pi}{3600 \times 12} ; \quad x_3=\frac{2 \pi}{3600 \times 12} \times 60=\frac{2 \pi}{720} \\\\ & \frac{\omega_1}{x_1}=\frac{\omega_2}{x_2}=\frac{\omega_3}{x_3}=\frac{1}{60}=k \end{aligned}$$

PreviousNext

More from Motion in A Plane

  • A 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 vms−1… Includes diagram2023 · MCQ
  • A particle is executing uniform circular motion with velocity v and acceleration a. Which of the following is true?2023 · MCQ
  • A bullet is fired from a gun at the speed of 280 ms−1 in the direction 30∘ above the horizontal. The maximum height attained by the bullet is (g=9.8 ms−2,sin30∘=0.5):-2023 · MCQ
  • A horizontal bridge is built across a river. A student standing on the bridge throws a small ball vertically upwards with a velocity 4 m s−1. The ball strikes the water surface after 4 s. The height…2023 · MCQ
  • A 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/s2)2022 · MCQ
  • A ball is projected with a velocity, 10 ms−1, at an angle of 60∘ with the vertical direction. Its speed at the highest point of its trajectory will be2022 · MCQ
  • A particle moving in a circle of radius R with a uniform speed takes a time T to complete one revolution. If this particle were projected with the same speed at an angle 'θ' to the horizontal, the maximum height attained by it…2021 · MCQ
  • A car starts from rest and accelerates at 5m/s2. At t = 4 s, a ball is dropped out of a window by a person sitting in the car. What is the velocity and acceleration of the ball at t = 6 s? (Take g = 10 m/s2)2021 · MCQ