HARD

Physics

IMPORTANT

Earn 100

A broad vessel with a square base of edge $a = 10 cm$ is separated into two halves $A$ and $B$ by a smooth vertical piston. A spring of spring constant $k = 1500 N m^{- 1}$ is filled across the compartment $A$ and the compartment $B$ is filled with water to a height $20 cm .$ Find the compression in the spring.

100% studentsanswered this correctly

Important Questions on Properties of Solid and Liquid

HARD

Physics

IMPORTANT

Physics Crash Course JEE Advanced>Chapter 9 - Properties of Solid and Liquid>Exercise 1>Q 3

A rectangular gate $3 m \times 1 m$ stands vertical with water on one side of it hinged at the middle. The force $F$ required to the applied at the bottom to keep the gate in equilibrium is

Question Image

HARD

Physics

IMPORTANT

Physics Crash Course JEE Advanced>Chapter 9 - Properties of Solid and Liquid>Exercise 1>Q 4

A very large block of ice of the size of a volleyball court and of uniform thickness of

8 m

is floating on water. A person standing near its edge wishes to fetch a bucketful of water using a rope. The smallest length of rope required for this is about

HARD

Physics

IMPORTANT

Physics Crash Course JEE Advanced>Chapter 9 - Properties of Solid and Liquid>Exercise 1>Q 5

An object with uniform density

ρ

is attached to a spring that is known to stretch linearly with applied force as shown below.
Question Image

When the spring object system is immersed in a liquid of density

ρ_{1}

as shown in the figure, the spring stretches by an amount

x_{1} (ρ > ρ_{1}) .

When the experiment is repeated in a liquid of density

ρ_{2} < ρ_{1}

, the spring stretches by an amount,

x_{2}

. Neglecting any buoyant force on the spring, the density of the object is

HARD

Physics

IMPORTANT

Physics Crash Course JEE Advanced>Chapter 9 - Properties of Solid and Liquid>Exercise 1>Q 6

A solid cube and a solid sphere both made of same material are completely submerged in water but to different depths. The sphere and the cube have same surface area. The buoyant force is

HARD

Physics

IMPORTANT

Physics Crash Course JEE Advanced>Chapter 9 - Properties of Solid and Liquid>Exercise 1>Q 7

Two glasses with identical volumes are filled with water to the half-way mark and are kept side by side. Two solid cubes made of the same metal are now dropped into the two glasses and both of them sink in the water. The first glass is completely filled now. The second glass is still

{\frac{7}{16}}^{th}

empty. The ratio of the surface areas of the cubes dropped into the first and the second glass is

HARD

Physics

IMPORTANT

Physics Crash Course JEE Advanced>Chapter 9 - Properties of Solid and Liquid>Exercise 1>Q 8

A vessel contains oil (density

0.8 g {cm}^{- 3}

) over mercury (density

13.6 g {cm}^{- 3}

). A homogeneous sphere floats with half volume immersed in mercury and the other half in oil. What will be the density (in

g {cm}^{- 3}

) of the material of the sphere?

HARD

Physics

IMPORTANT

Physics Crash Course JEE Advanced>Chapter 9 - Properties of Solid and Liquid>Exercise 1>Q 9

A wooden stick of length

L

, radius

R

and density

ρ

has a small metal piece of mass

m

(of negligible volume) attached to its one end. Find the minimum value for the mass m (in terms of given parameters) that would make the stick float vertically in stable equilibrium in a liquid of density

σ

HARD

Physics

IMPORTANT

Physics Crash Course JEE Advanced>Chapter 9 - Properties of Solid and Liquid>Exercise 1>Q 10

A layer of oil with a density

724 kg m^{- 3}

floats on water of density

1000 kg m^{- 3}

. A block floats on the oil-water interface with

\frac{1}{6^{th}}

of its volume in oil and

\frac{5}{6^{th}}

of its volume in water, as shown in the figure. What is the density of the block?

Question Image

A broad vessel with a square base of edge a=10 cm is separated into two halves A and B by a smooth vertical piston. A spring of spring constant k=1500 N m-1 is filled across the compartment A and the compartment B is filled with water to a height 20 cm. Find the compression in the spring.

Important Questions on Properties of Solid and Liquid

Learn and Prepare for any exam you want !