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Solution


Q.

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) and average amplitude A(t) of the system change with time t. Which one of the following options schematically depicts these changes correctly    [2025]
 
1  
2  
3  
4  

Ans.

(4)

As the box oscillates, sand leaks slowly out of the box which leads to decrease in effective mass of the bob. As frequency is inversely proportional to the square root of m, hence average frequency (ω) increases and amplitude will decrease due to dissipation of energy.