Properties Of Matter Practice Questions

A water drop of diameter $2 {\text{cm}}$ is broken into 64 equal droplets. The surface tension of water is $0.075 {\text{N}} / {\text{m}}$. In this process the gain in surface energy will be : [28-Jun-2022-Shift-1]

If the length of a wire is made double and radius is halved of its respective values. Then, the Young's modulus of the material of the wire will: [29-Jul-2022-Shift-1]

A water drop of radius $1 \mu {\text{m}}$ falls in a situation where the effect of buoyant force is negligible. Co-efficient of viscosity of air is $1.8 \times 10^{-5} {\text{Nsm}}^{-2}$ and its density is negligible as compared to that of water $10^6 {\text{gm}}^{-3}$. Terminal velocity of the water drop is(Take acceleration due to gravity $=10 {\text{ms}}^{-2}$ ) [28-Jun-2022-Shift-2]

The terminal velocity $(v_t)$ of the spherical rain drop depends on the radius $(r)$ of the spherical rain drop as : [25-Jun-2022-Shift-1]

A spherical soap bubble of radius $3 {\text{cm}}$ is formed inside another spherical soap bubble of radius 6 ${\text{cm}}$. If the internal pressure of the smaller bubble of radius $3 {\text{cm}}$ in the above system is equal to the internal pressure of the another single soap bubble of radius $r {\text{cm}}$. The value of $r$ is _________. [27-Jul-2022-Shift-2]

When a ball is dropped into a lake from a height $4.9 {\text{m}}$ above the water level, it hits the water with a velocity $v$ and then sinks to the bottom with the constant velocity v. It reaches the bottom of the lake $4.0 {\text{s}}$ after it is dropped. The approximate depth of the lake is : [27-Jun-2022-Shift-2]

A balloon has mass of $10 {\text{g}}$ in air. The air escapes from the balloon at a uniform rate with velocity $4.5 {\text{cm}} / {\text{s}}$. If the balloon shrinks in $5 {\text{s}}$ completely. Then, the average force acting on that balloon will be (in dyne). [28-Jul-2022-Shift-1]

A block of metal weighing $2 {\text{kg}}$ is resting on a frictionless plane (as shown in figure). It is struck by a jet releasing water at a rate of $1 {\text{kgs}}^{-1}$ and at a speed of $10 {\text{ms}}^{-1}$. Then, the initial acceleration of the block, in ${\text{ms}}^{-2}$, will be : [29-Jun-2022-Shift-1]

Two cylindrical vessels of equal cross-sectional area $16 {\text{cm}}^2$ contain water upto heights $100 {\text{cm}}$ and $150 {\text{cm}}$ respectively. The vessels are interconnected so that the water levels in them become equal. The work done by the force of gravity during the process, is [Take, density of water $=10^3 {\text{kg}} / {\text{m}}^3$ and $. {\text{g}}=10 {\text{ms}}^{-2}]$ : [27-Jul-2022-Shift-1]

The bulk modulus of a liquid is $3 \times 10^{10} {\text{Nm}}^{-2}$. The pressure required to reduce the volume of liquid by $2 \%$ is : [24-Jun-2022-Shift-1]

In an experiment to determine the Young's modulus, steel wires of five different lengths $(1,2,3,4$, and $5 {\text{m}})$ but of same cross section $(2 {\text{mm}}^2)$ were taken and curves between extension and load were obtained. The slope (extension/load) of the curves were plotted with the wire length and the following graph is obtained. If the Young's modulus of given steel wires is $x \times 10^{11} {\text{Nm}}^{-2}$, then the value of $x$ is _________. [27-Jul-2022-Shift-2]

If $p$ is the density and $η$ is coefficient of viscosity of fluid which flows with a speed $v$ in the pipe of diameter $d$, the correct formula for Reynolds number $R_e$ is : [26-Jun-2022-Shift-2]

The velocity of a small ball of mass $0.3 {\text{g}}$ and density $8 {\text{g}} / {\text{cc}}$ when dropped in a container filled with glycerine becomes constant after some time. If the density of glycerine is $1.3 {\text{g}} / {\text{cc}}$, then the value of viscous force acting on the ball will be $x \times 10^{-4} {\text{N}}$, The value of $x$ is _______. $[use ${\text{g}}=10 {\text{m}} / {\text{s}}^2$ ]$ [29-Jul-2022-Shift-2]

A liquid of density $750 {\text{kgm}}^{-3}$ flows smoothly through a horizontal pipe that tapers in cross-sectional area from ${\text{A}}_1=1.2 \times 10$ $-2 {\text{m}}^2$ to ${\text{A}}_2=\;\frac{A_1}{2}$. The pressure difference between the wide and narrow sections of the pipe is $4500 {\text{Pa}}$. The rate of flow of liquid is _____$\times 10^{-3} {\text{m}}^3 {\text{s}}^{-1}$ [28-Jun-2022-Shift-2]

The force required to stretch a wire of cross-section $1 {\text{cm}}^2$ to double its length will be : (Given Yong's modulus of the wire $-2 \times 10^{11} {\text{N}} / {\text{m}}^2$ ) [28-Jul-2022-Shift-1]

In an experiment to determine the Young's modulus of wire of a length exactly $1 {\text{m}}$, the extension in the length of the wire is measured as $0.4 {\text{mm}}$ with an uncertainty of $± 0.02 {\text{mm}}$ when a load of $1 {\text{kg}}$ is applied. The diameter of the wire is measured as $0.4 {\text{mm}}$ with an uncertainty of $± 0.01 {\text{mm}}$. The error in the measurement of Young's modulus $(\Delta Y)$ is found to be $x \times 10^{10} {\text{Nm}}^{-2}$. The value of $x$ is ________$(.$ take $.g=10 {\text{ms}}^{-2})$ [26-Jul-2022-Shift-1]

An ideal fluid of density $800 {\text{kgm}}^{-3}$, flows smoothly through a bent pipe (as shown in figure) that tapers in cross-sectional area from a to $\;\frac{a}{2}$. The pressure difference between the wide and narrow sections of pipe is $4100 {\text{Pa}}$. At wider section, the velocity of fluid is $\;\frac{\sqrt{x}}{6} {\text{ms}}^{-1}$ for ${\text{x}}=$ (Given ${\text{g}}=10 {\text{ms}}^{-2}$ ) [26-Jun-2022-Shift-1]

Consider a cylindrical tank of radius $1 {\text{m}}$ is filled with water. The top surface of water is at $15 {\text{m}}$ from the bottom of the cylinder. There is a hole on the wall of cylinder at a height of $5 {\text{m}}$ from the bottom. A force of $5 \times 10^5 {\text{N}}$ is applied an the top surface of water using a piston. The speed of ifflux from the hole will be : (given atmospheric pressure ${\text{P}}_{ {\text{A}}}=1.01 \times 10^5 {\text{Pa}}$, density of water $\rho _{ {\text{W}}}=1000 {\text{kg}} / {\text{m}}^3$ and gravitational acceleration ${\text{g}}=10 {\text{m}} / {\ s}^2$ ) [28-Jul-2022-Shift-2]