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Q.

A spring mass system oscillating in uniform gravity is shown in the figure. If we neglect all dissipative forces, it will keep on oscillating endlessly with constant amplitude and frequency. Accompanying graph shows how displacement x of the block from the equilibrium position varies with time t.
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Now at a certain instant when the block reaches its lowest position gravity is switched off by some unknown mechanism. Which of the following graphs would correctly describe the changes taking place due to switching off the gravity?

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a

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b

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c

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d

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answer is B.

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Detailed Solution

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Equilibrium position shift upward by mgk  and amplitude becomes 2mgk 

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A spring mass system oscillating in uniform gravity is shown in the figure. If we neglect all dissipative forces, it will keep on oscillating endlessly with constant amplitude and frequency. Accompanying graph shows how displacement x of the block from the equilibrium position varies with time t.Now at a certain instant when the block reaches its lowest position gravity is switched off by some unknown mechanism. Which of the following graphs would correctly describe the changes taking place due to switching off the gravity?