JEE Main Properties of Matter Practice Questions With Solutions

The excess pressure inside a soap bubble is thrice the excess pressure inside a second soap bubble. The ratio between the volume of the first and the second bubble is:

A spherical ball of radius $1\times {10}^{-4}\mathrm{m}$1 \times 10^{- 4} \textrm{ } m and density ${10}^5\mathrm{kg}/{\mathrm{m}}^3$10^{5} \textrm{ } kg / m^{3} falls freely under gravity through a distance $h$h before entering a tank of water, If after entering in water the velocity of the ball does not change, then the value of $h$h is approximately:

(The coefficient of viscosity of water is $9.8\times {10}^{-6}\mathrm{N}\mathrm{s}/{\mathrm{m}}^2$9.8 \times 10^{- 6} \textrm{ } N \textrm{ } s / m^{2})

A sphere of relative density $\sigma$\sigma and diameter $D$D has concentric cavity of diameter $d$d. The ratio of $\frac{D}{d}$\frac{D}{d}, if it just floats on water in a tank is :

A cube of ice floats partly in water and partly in kerosene oil. The ratio of volume of ice immersed in water to that in kerosene oil (specific gravity of Kerosene oil = 0.8, specific gravity of ice = 0.9):

Young's modulus is determined by the equation given by $\mathrm{Y}=49000\frac{\mathrm{m}}{\mathrm{l}}\frac{\mathrm{dyne}}{{\mathrm{cm}}^2}$Y = 49000 \frac{m}{l} \frac{dyne}{cm^{2}} where $M$M is the mass and $l$l is the extension of wire used in the experiment. Now error in Young modules $(Y)$\left(\right. Y \left.\right) is estimated by taking data from $M-l$M - l plot in graph paper. The smallest scale divisions are $5\mathrm{g}$5 \textrm{ } g and $0.02\mathrm{cm}$0.02 \textrm{ } cm along load axis and extension axis respectively. If the value of $M$M and $l$l are $500\mathrm{g}$500 \textrm{ } g and $2\mathrm{cm}$2 \textrm{ } cm respectively then percentage error of $Y$Y is :

Correct Bernoulli's equation is (symbols have their usual meaning) :

Pressure inside a soap bubble is greater than the pressure outside by an amount : (given : $\mathrm{R}=$R = Radius of bubble, $\mathrm{S}=$S = Surface tension of bubble)

A small ball of mass $m$m and density $\rho$\rho is dropped in a viscous liquid of density ${\rho }_0$\rho_{0}. After sometime, the ball falls with constant velocity. The viscous force on the ball is :

Match List I with List II :

Choose the correct answer from the options given below :

Given below are two statements :

Statement I : When a capillary tube is dipped into a liquid, the liquid neither rises nor falls in the capillary. The contact angle may be $0^{\circ }$0^{\circ}.

Statement II : The contact angle between a solid and a liquid is a property of the material of the solid and liquid as well.

In the light of the above statement, choose the correct answer from the options given below.