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# Question - 1.

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

$$A)$$ $$x=0$$

$$B )$$ $$x=h$$

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

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

Note by Nishant Rai
2 years, 4 months ago

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Oh yes, I have seen this problem. This is a multiple correct problem. The answer is a,b,c if I remember right. · 2 years, 4 months ago

Correct! This question came in my mock test, and i am still unable to solve it. · 2 years, 4 months ago

Getting options a and b is relatively easy. You just need to use the concept of effective acceleration due to gravity. · 2 years, 4 months ago

can you please write the solution. (i tried, but in vain ) · 2 years, 4 months ago

I have not gotten it either. One of my friends showed me this problem and I failed to get answer. I tried now and I still havent gotten it. :/ · 2 years, 4 months ago

@Raghav Vaidyanathan @Abhineet Nayyar · 2 years, 4 months ago