Quantrex Quantrex AcademyJEE · NEET · NDA PYQs with solutions Open app
99 Percentile Qs Bank for JEE MainPhysicsOscillations

9 ~kg solution is poured into a glass U-tube as shown in the figure below. The tube's inner diameter is 2 5 ~m and the solution oscillates freely up and down about its position of equilibriwm (x=0) . The period of oscillation in seconds is (1 ~m ^3 . of solution has a mass =900 ~kg , g=10 ~m / s ^2 , ignore frictional and swrface tension effects)

Options

  1. A0.1
  2. B10
  3. C1

Correct answer

A. 0.1

Step-by-step solution

Diameter of tube =2 5 ~m Radius of tube (r)= 5 ~m Mass of solution (u)=9 ~kg We know that, aligned & Mass (u)=d v & u=d r^2 L & aligned or, 9=900 ( 5 )^2 L or, 9=900 ^2 5 1 or, L= 5 100 ^2 Now, T=2 L 2 g From Eq. (i), Or, aligned & T=2 5 200 ^2 10 & T=2 1 400 = 2 20 & T=0.1 ~s aligned

Practice Oscillations on Quantrex Academy →

More from Oscillations

A tank contains two immiscible liquids of densities 6 and 2 . The higher density liquid is filled up to a height L/2 from the bottom. A thin rod of density and length L is fully im 2026The frequency of oscillation of a mass m suspended by a spring is v₁ . If the length of the spring is cut to half, the same mass oscillates with frequency v₂ . The value of v₂/v₁ i 2026A spring stretches by 2 mm when it is loaded with a mass of 200 g. From equilibrium position the mass is further pulled down by 2 mm and released. The frequency associated with the 2026A particle is executing simple harmonic motion. Its amplitude is A and time period is 5 sec. The time required by it to move from x = A to x = A 2 is _______ sec. 2026Match List-I with List-II. List-I List-II A. ^2 t I. Periodic with time period T = but not simple harmonic motion (SHM) B. ^3(2 t) II. Periodic with time period T = 2 but Not SHM C 2026A uniform disc of radius R and mass M is free to oscillate about the axis A as shown in the figure. For small oscillations the time period is ______. ( g is acceleration due to gra 2026The velocity of a particle executing simple harmonic motion along x -axis is described as v^2 = 50 - x^2 , where x represents displacement. If the time period of motion is x 7 s, t 2026The equation of motion of a particle is given by x = a (50t + 3 ) cm. The particle will come to rest at time t₁ and it will have zero acceleration at time t₂ . The t₁ and t₂ respec 2026 Full Oscillations list All 99 Percentile Qs Bank for JEE Main PYQs