Questions
A hollow sphere is filled with water. It is hung by a long thread to make it a simple pendulum. As the water flows out of a hole at the bottom of the sphere, the frequency of oscillation will
detailed solution
Correct option is D
Frequency of a simple pendulum f=12πglEvidently,f∝1lat any place. The effective length l is the distance of the point of suspension O' from the centre of gravity (CG) of the bob. As, water flows out of the hole at the bottom, the CG descends from centre towards the bottom, increasing the effective length, and consequently f decreases. However, when all the water has flows out, the CG of a hollow sphere is once again at its centre and hence the effective length would decrease, thereby increasing the frequency.Talk to our academic expert!
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The system shown in figure is in equilibrium. The mass of the container with liquid is M, density of liquid in the container is and the volume of the block is V. If the container is now displaced downwards through a distance x0 and released such that the block remains well inside the liquid, then during subsequent motion,
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