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Oscillations question

2025 · Q143
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Oscillations question

2025 · Q143

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 ω(t)\omega(t)ω(t) and average amplitude A(t)A(t)A(t) of the system change with time ttt. Which one of the following options schematically depicts these changes correctly?

  1. A
    NEET 2025 Physics - Oscillations Question 1 English Option 1
  2. B
    NEET 2025 Physics - Oscillations Question 1 English Option 2
  3. C
    NEET 2025 Physics - Oscillations Question 1 English Option 3
  4. D
    NEET 2025 Physics - Oscillations Question 1 English Option 4
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.

Next

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