Sunil Batra Solutions for Chapter: Floating Bodies, Exercise 10: CHAPTER PRACTICE TEST 2

When an object is immersed in a fluid, two forces act on the object in vertically opposite directions. Name them also write the factors on which the magnitude of these forces depends.

The density of turpentine at $293 \mathrm{K}$ is given as $870 \mathrm{kg} {\mathrm{m}}^{-3}$. Identify and write the name of the substances that sink in turpentine at the same temperature.

Archimedes' principle has wide application in making ships and submarines. Explain.

A doctor applies a force of $50 \mathrm{N}$ to the piston of a syringe of area $1.5 {\mathrm{m}}^2$. The increase in pressure of the fluid in the syringe is

A student has to perform the experiment for comparing the pressure of the given cuboid placed at different faces. The steps given below are not in correct sequence:

$\left(i\right)$ To place the cuboid slowly on the sand and note the reading.

$\left(ii\right)$ To calculate the least count of spring balance.

$\left(iii\right)$ To measure the zero error in the spring balance.

$\left(iv\right)$ To measure the weight of the given cuboid.

The correct sequence of steps will be

In an experiment, Sudhir took a solid iron cuboid having mass $5 \mathrm{kg}$ and dimensions $30 \mathrm{cm}\times 20\mathrm{cm}\times 10 \mathrm{cm}$. He kept the cuboid on the table. The force and the pressure exerted by the cuboid on the table top if it lies with its face of dimensions $20 \mathrm{cm}\times 10 \mathrm{cm}$ respectively would be. (Take $g=9.8 \mathrm{m}/{\mathrm{s}}^2$ )

A student takes a cuboid with dimensions $(l\times b\times h)$ $8 \mathrm{cm}$, $6 \mathrm{cm}$ and $4 \mathrm{cm}$. He measures the pressure $P$ of the cuboid using $(l\times b)$ face. Now he uses another cuboid of the same material with the dimensions double of the previous ones and repeats the experiment. What will be the change in the value of pressure for the new cuboid?

A metal cuboid of mass $\text{'}\mathrm{M}\text{'} \mathrm{kg}$ rests on a table with surface area of $40 {\mathrm{cm}}^2$ in contact with the table. The pressure exerted by the cuboid on the table surface is $10000 \mathrm{Pa}$. What is the value of $\mathrm{M}$? (Given that $\mathrm{g}=10 \mathrm{m} {\mathrm{s}}^{-2}$).