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Q.35) 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 $\omega(t)$ and average amplitude, $A(t)$ of the system change with time $t$. Which one of the following options schematically depicts these changes correctly?

A)

B)

C)

D)

 

Answers (1)

best_answer

 We know,

$T = 2 \pi \sqrt{\frac{m}{k}}$

And, $\omega \propto \frac{1}{T}$

$\omega \propto \frac{1}{\sqrt{m}}$

As the mass is decreasing, the frequency will increase with time.

The total energy of the system remains constant. Thus, the amplitude will not change.

This nature is shown in the graph of option 2.

Hence, the answer is the option 2.

 

Posted by

Saumya Singh

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