Mechanical Properties of Matter
A bottle has an opening of radius $$a$$ and length $$b$$. A cork of length $$b$$ and radius $$(a+ \Delta a)$$ where $$(\Delta a << a)$$ is compressed to fit into the opening completely (See figure). If the bulk modulus of cork is B and the frictional coefficient between the bottle and cork is $$\mu$$ then the force needed to push the cork into the bottle is :
Mechanical Properties of Matter
The bulk modulus for an incompressible liquid is?
Mechanical Properties of Matter
If for a material, Y and B are Young's modulus and Bulk modulus then:
Mechanical Properties of Matter
Compute the bulk modulus of water from the following data: Initial volume = 100.0 litre, Pressure increase = 100.0 atm ($$1 atm = 1.013 \times 10^5 Pa$$), Final volume = 100.5 litre. Compare the bulk modulus of water with that of air (at constant temperature). Explain in simple terms why the ratio is so large.
Mechanical Properties of Matter
Which of the following statements is incorrect?
Mechanical Properties of Matter
The shear modulus is also known as
Mechanical Properties of Matter
A ball falling in a lake of depth 200 m show 0.1% decrease in its volume at the bottom. What is the bulk modulus of the material of the ball:-
Mechanical Properties of Matter
The Bulk modulus for an incompressible liquid is :
Mechanical Properties of Matter
The compressibility of water $$4\times 10^{-5}$$ per unit atmospheric pressure. The decrease in volume of $$100\ cubic$$ centimeter of water under a pressure of $$100$$ atmosphere will be:
Mechanical Properties of Matter
The pressure of a medium is changed from $$1.01\times 10^{5}\ Pa$$ to $$1.165\times 10^{5}\ Pa$$ and change in volume is $$10\%$$ keeping temperature constant. The bulk modulus of the medium is