HARD
Physics
IMPORTANT
Earn 100

A rectangular gate 3 m×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

16.67% 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 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 ρ1 as shown in the figure, the spring stretches by an amount x1ρ>ρ1. When the experiment is repeated in a liquid of density ρ2<ρ1, the spring stretches by an amount, x2. 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 716th 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 16th of its volume in oil and 56th of its volume in water, as shown in the figure. What is the density of the block?

Question Image
HARD
Physics
IMPORTANT
Physics Crash Course JEE Advanced>Chapter 9 - Properties of Solid and Liquid>Exercise 1>Q 11
A uniform rod of density ρ is placed in a wide tank containing a liquid of density ρ0(ρ0>ρ). The depth of liquid in the tank is half the length of the rod. The rod is in equilibrium, with its lower end resting on the bottom of the tank. In this position, the rod makes an angle θ with the horizontal. Then,