JEE Main 2025 January Physics: Properties of Solids & Liquids – Previous Year Questions

The increase in pressure required to decrease the volume of a water sample by 0.2% is $P\times10^{5}$ N m$^{-2}$. Bulk modulus of water is $2.15\times10^{9}$ N m$^{-2}$. The value of $P$ is .

The volume contraction of a solid copper cube of edge length 10 cm, when subjected to a hydraulic pressure of $7\times10^{6}$ Pa, would be mm$^3$. (Given bulk modulus of copper = $1.4\times10^{11}$ N m$^{-2}$)

The fractional compression $\left(\frac{\Delta V}{V}\right)$ of water at the depth of 2.5 km below the sea level is %. Given, the Bulk modulus of water = $2\times10^{9}$ N m$^{-2}$, density of water = $10^{3}$ kg m$^{-3}$, acceleration due to gravity = $g=10$ m s$^{-2}$.

A tube of length $L$ is shown in the figure. The radius of cross section at the point (1) is 2 cm and at the point (2) is 1 cm, respectively. If the velocity of water entering at point (1) is 2 m/s, then velocity of water leaving the point (2) will be

Water flows in a horizontal pipe whose one end is closed with a valve. The reading of the pressure gauge attached to the pipe is $P_1$. The reading of the pressure gauge falls to $P_2$ when the valve is opened. The speed of water flowing in the pipe is proportional to

A 400 g solid cube having an edge of length 10 cm floats in water. How much volume of the cube is outside the water ? (Given : density of water = 1000 kg m$^{-3}$)

In a hydraulic lift, the surface area of the input piston is 6 cm$^2$ and that of the output piston is 1500 cm$^2$. If 100 N force is applied to the input piston to raise the output piston by 20 cm, then the work done is kJ.

Two soap bubbles of radius 2 cm and 4 cm, respectively, are in contact with each other. The radius of curvature of the common surface, in cm, is .

A small rigid spherical ball of mass $M$ is dropped in a long vertical tube containing glycerine. The velocity of the ball becomes constant after some time. If the density of glycerine is half of the density of the ball, then the viscous force acting on the ball will be (consider $g$ as acceleration due to gravity)

An air bubble of radius 1.0 mm is observed at a depth of 20 cm below the free surface of a liquid having surface tension 0.095 J/m$^2$ and density $10^3$ kg/m$^3$. The difference between pressure inside the bubble and atmospheric pressure is N/m$^2$. (Take $g=10$ m/s$^2$)

An air bubble of radius 0.1 cm lies at a depth of 20 cm below the free surface of a liquid of density 1000 kg/m$^3$. If the pressure inside the bubble is 2100 N/m$^2$ greater than the atmospheric pressure, then the surface tension of the liquid in SI unit is (use $g=10$ m/s$^2$)

The amount of work done to break a big water drop of radius 'R' into 27 small drops of equal radius is 10 J. The work done required to break the same big drop into 64 small drops of equal radius will be

In the experiment for measurement of viscosity '$\eta$' of given liquid with a ball having radius R, consider following statements.
A. Graph between terminal velocity V and R will be a parabola.
B. The terminal velocities of different diameter balls are constant for a given liquid.
C. Measurement of terminal velocity is dependent on the temperature.
D. This experiment can be utilized to assess the density of a given liquid.
E. If balls are dropped with some initial speed, the value of $\eta$ will change.
Choose the correct answer from the options given below:

Given below are two statements:
Statement I: The hot water flows faster than cold water.
Statement II: Soap water has higher surface tension as compared to fresh water.
In the light above statements, choose the correct answer from the options given below

Consider following statements:
A. Surface tension arises due to extra energy of the molecules at the interior as compared to the molecules at the surface, of a liquid.
B. As the temperature of liquid rises, the coefficient of viscosity increases.
C. As the temperature of gas increases, the coefficient of viscosity increases
D. The onset of turbulence is determined by Reynold's number.
E. In a steady flow two stream lines never intersect.
Choose the correct answer from the options given below: