Embibe Experts Solutions for Chapter: Mechanical Properties of Matter, Exercise 1: TS EAMCET - 10 August 2021 Shift 1

A body is subjected to stress resulting in the change in volume of the body. The stress must be

The radius of a sphere is found to have reduced by $0.01\%$, when measured at a depth $\text{'}H\text{'}$ of the sea. If the bulk modulus of elasticity of the material of sphere is $4\times {10}^{10} \mathrm{N} {\mathrm{m}}^{-2}$ and density of water is $1000 \mathrm{kg} {\mathrm{m}}^{-3}$, find the value of $H$ ' (use $\left.g=10 \mathrm{m} {\mathrm{s}}^{-2} \right)$

The bulk modulus of a liquid is $3\times {10}^9 \mathrm{N} {\mathrm{m}}^{-2}$ The pressure required to reduce the given volume of this liquid by $1\%$ is

Total pressure at the bottom of a filled water tank is $2.0$ $\mathrm{atm}$. If a small hole is made at the bottom of the tank, then what is the velocity of efflux? [Use density of water as $1000 \mathrm{kg} {\mathrm{mL}}^{-3}, 1 \mathrm{atm}={10}^5 \mathrm{Pa}$]

A cylindrical wire of length $1,$ density $d$ is kept on the surface of the liquid. What can be the maximum radius, $\left(r\right)$ of the wire such that it is in equilibrium due to the surface tension, $\left(T\right)$ of liquid? (Assume $1>r$ and the contact angle is $0°, g$ is the acceleration due to gravity)

The excess pressure inside a soap bubble of radius, $10 \mathrm{mm}$ is balanced by a liquid column of, $0.04 \mathrm{cm}$. Determine the density of the liquid (surface tension of soap bubble is,  $0.03 \mathrm{N} {\mathrm{m}}^{-1}$ and $g=10 \mathrm{m} {\mathrm{s}}^{-2}$

Two soap bubbles of radii, $R$ and, $2 R$ (in vacuum) coalesce under isothermal conditions. The radius of the new bubble is (surface tension of soap solution is $2.5\times {10}^{-2} \mathrm{N} {\mathrm{m}}^{-1}$)

A drop of radius $R$ breaks into $n$ equal drops. What is the ratio of total final surface energy to initial surface energy?