MEDIUM
JEE Main
IMPORTANT
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A soap bubble, blown by a mechanical pump at the mouth of a tube increases in volume with time at a constant rate. The graph that correctly depicts the time dependence of pressure inside the bubble is given by:

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Important Questions on Properties of Solid and Liquid

MEDIUM
JEE Main
IMPORTANT
A load of mass M kg is suspended from a steel wire of length 2 m and radius 1.0 mm in Searle's apparatus experiment. The increase in length produced in the wire is 4.0 mm. Now the load is fully immersed in a liquid of relative density 2. The relative density of the material of load is 8. The new value of increase in length of the steel wire is:
MEDIUM
JEE Main
IMPORTANT
A solid sphere of radius r made of a soft material of bulk modulus K is surrounded by a liquid in a cylindrical container. A massless piston of area a floats on the surface of the liquid, covering entire cross-section of cylindrical container. When a mass m is placed on the surface of the piston to compress the liquid, the fractional decrement in the radius of the sphere drr , is:
HARD
JEE Main
IMPORTANT
A thin uniform tube is bent into a circle of radius r in the vertical plane. Equal volumes of two immiscible liquids, Whose densities are ρ1 and ρ2 (ρ1>ρ2 ), fill half the circle. The angle θ between the radius vector passing through the common interface and the vertical is:
HARD
JEE Main
IMPORTANT
A small soap bubble of radius 4cm is trapped inside another bubble of radius 6cm without any contact. Let P2 be the pressure inside the inner bubble and P0, the pressure outside the outer bubble. Radius of another bubble with pressure difference P2-P0 between its inside and outside would be:
MEDIUM
JEE Main
IMPORTANT
The following observations were taken for determining surface tension T of water by capillary method:

diameter of capillary, D=1.25×10-2 m

rise of water, h=1.45×10-2 m

Using g=9.80 m s-2 and the simplified relation T=rhg2×103 N m-1 the possible error in surface tension is closest to:
EASY
JEE Main
IMPORTANT
A man grows into a giant such that his linear dimensions increase by a factor of 9. Assuming that his density remains same, the stress in the leg will change by a factor of:
HARD
JEE Main
IMPORTANT
An external pressure P is applied on a cube at 0°C so that it is equally compressed from all sides. K is the bulk modulus of the material of the cube and α is its coefficient of linear expansion. Suppose we want to bring the cube to its original size by heating. The temperature should be raised by:
MEDIUM
JEE Main
IMPORTANT
A steel rail of length 5 m and area of cross section 40 cm2 is prevented from expanding along its length while the temperature rises by 10°C . If coefficient of linear expansion and Young's modulus of steel are 1.2×10-5  K-1 and 2×1011 N m-2 respectively, the force developed in the rail is approximately: