NEETPhysicsOscillationsMCQ+4 / −1
In an oscillating spring mass system, a spring is connected to a box filled with sand. As the box oscillates, sand leaks slowly out of the box vertically so that the average frequency and average amplitude of the system change with time . Which one of the following options schematically depicts these changes correctly?
- A

- B

- C

- D

View written solutionFree
Correct answer: D
At any point of time, time period is given by
$$T=2 \pi \sqrt{\frac{m}{k}}$$
Here $m$ is decreasing, so time period $T$ will be decreasing
Since $\omega=\frac{2 \pi}{T}$
Hence as mass leaks, $\omega$ will increase
Now, at any instant
$m g=k x_0$
So, equilibrium length $x_0=\frac{m g}{k}$, where $m$ is decreasing
So, equilibrium length will decrease.
So, amplitude also go on decreasing.
More from Oscillations
- Two identical point masses and , suspended from two separate massless springs of spring constants and , respectively, oscillate vertically. If their maximum speeds are the same, the ratio ( ) of the…2025 · MCQ
- If represents the motion of a particle executing simple harmonic motion, the amplitude and time period of motion, respectively, are2024 · MCQ
- If the mass of the bob in a simple pendulum is increased to thrice its original mass and its length is made half its original length, then the new time period of oscillation is times its original time period. Then the value…2024 · MCQ
- A particle executing simple harmonic motion with amplitude A has the same potential and kinetic energies at the displacement2024 · MCQ
- The two-dimensional motion of a particle, described by is a/an: A. parabolic path B. elliptical path C. periodic motion D. simple harmonic motion Choose the correct answer from the options…2024 · MCQ
- A simple pendulum oscillating in air has a period of . If it is completely immersed in non-viscous liquid, having density of the material of the bob, the new period will be :-2023 · MCQ
- The - graph of a particle performing simple harmonic motion is shown in the figure. The acceleration of the particle at is : Includes diagram2023 · MCQ
- Match List-I with List-II Choose the correct answer from the options given below Includes table Includes diagram2022 · MCQ