A vessel is completely filled by a liquid of density \(\rho\) as shown in figure having acceleration \(g\) in horizontal direction. After getting equilibrium condition a particle of density \(\frac{\rho}{2}\) is released from bottom of vessel at distance \(x\) as shown in figure such that it reaches to water-air interface after time \(\sqrt{\frac{2h}{g}}\). Assume all collisions with wall are completely elastic. Which of the positions satisfy the given situation

\( A) \) \(x=0\)

\(B ) \) \(x=h\)

\( C) \) \(x=\frac{h}{9}\)

\( D) \) \(x=\frac{h}{4}\)

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## Comments

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TopNewestOh yes, I have seen this problem. This is a multiple correct problem. The answer is a,b,c if I remember right.

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Correct! This question came in my mock test, and i am still unable to solve it.

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Getting options a and b is relatively easy. You just need to use the concept of effective acceleration due to gravity.

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@Tanishq Varshney @satvik pandey @Kushal Patankar

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@Raghav Vaidyanathan @Abhineet Nayyar

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Please Help .

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