A solid metal cylinder has a mass of and occupies a volume of

PHYSICS · Multi-part · CBSE · Physics · Gravitation · Gravitation

Problem

A solid metal cylinder has a mass of 250 g250\,\text{g} and occupies a volume of 200 cm3200\,\text{cm}^{3}. It is to be tested in three different liquids whose densities are given in the table below. Liquid Density (kg m−3\text{kg\,m}^{-3}) Kerosene 800800 Salt solution 11001100 Mercury 1360013600 Answer the following questions. (i) Calculate the density of the metal cylinder in SI units. (ii) For each of the three liquids, predict whether the cylinder will float or sink. Justify each answer briefly. (iii) The cylinder is now tied tightly to a wooden block of mass 50 g50\,\text{g} and volume 100 cm3100\,\text{cm}^{3}, forming a composite body. Calculate the average density of this composite body and state whether it will float or sink in the salt solution, giving a reason.

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