Mechanical Prop...

The following four wires of length $$L$$ and radius $$r$$ are made of the same material. Which of these will have the largest extension, when the same tension is applied?

Two wires of the same material and length but diameter in the ratio $$1:2$$ are stretched by the same load. The ratio of elastic potential energy per unit volume for the two wires is:

Among solids, liquids and gases, which posses the greatest bulk modulus?

A wire stretches by a certain amount under a load. If the load and radius both are increased to four times. The stretch caused in the wire is then

When the load on a wire is increased from $$3kg$$ $$wt$$ to $$5kg$$ $$wt$$ the elongation increases from $$0.61mm$$ to $$1.02mm$$. The required work done during the extension of the wire is:

The length of a rubber cord is $${l}_{1}$$ when the tension is $$4N$$ and $${l}_{2}m$$ when the tension is $$6N$$. The length when the tension is $$9N$$, is:

A copper wire of length $$2.4m$$ and a steel wire of length $$1.6m$$, both the diameter $$3mm$$, are connected end to end. When stretched by a load, the net elongation is found to be $$0.7mm$$. The load applied is
$$\left( { Y }_{ copper }=1.2\times { 10 }^{ 11 }N\quad { m }^{ -2 },{ Y }_{ steel }=2\times { 10 }^{ 11 }N\quad { m }^{ -2 } \right) $$

To what depth must a rubber ball be taken in deep sea so that its volume is decreased by $$0.1$$%
(Take density of sea water $${ 10 }^{ 3 }kg\quad { m }^{ -3 }$$, bulk modulus of rubber $$=9\times { 10 }^{ 8 }N{ m }^{ -2 },g=10m{ s }^{ -2 }$$)

A $$15kg$$ mass fastened to the end of a steel wire of unstretched length $$1.0m$$ is whirled in a vertical circle with an angular velocity of $$2rev$$ $${s}^{-1}$$ at the bottom of the circle. The cross-section of the wire is $$0.05{cm}^{2}$$. The elongation of the wire when the mass is at the lowest point of its path is
(Take $$g=10m{ s }^{ -2 },{ Y }_{ steel }=2\times { 10 }^{ 11 }N\quad { m }^{ -2 }\quad $$)

A wire of length $$L$$ has a linear mass density $$\mu$$ and area of cross-section $$A$$ and Young's modulus $$Y$$ is suspended vertically from a rigid support. The extension produced in the wire due to its own weight is: