Mechanical Prop...

Two copper wires having the length in ratio $$4:1$$ and their radii ratio as $$1:4$$ are stretched by the same force. Then the ratio of the longitudinal strain in the two will be 

A block of mass of $$2kg$$ is attached to one end of a wire of cross sectional area $$1mm \,\,\,2 $$ and is. Find the elongation of the wire when the block is at top of the circle $$(Y=2\times 10^{11}Nm^{-2})$$

Three wires P,Q and R the same materials and length have radii $$0.12cm,0.2cm$$ and $$0.3cm$$ respectively. Which wire has the highest value of Young's modules of elasticity ?

A wire of density $$9\times{10^3}kg/{m^3}$$ is stretched between two clamps 1 m apart and is stretched to an extension of $$4.9\times{10^{ - 4}}metre.$$ Young's modulus of material is $$9\times{10^{10}}N/{m^2}$$. Then

A two meter long rod is suspended with the help of two wires of equal length. One wire is of steel and its cross-section is 0.1 $$cm^{2} $$ and another wire is of brass and its cross-section area is 0.2 $$cm^{2} $$. If a load W is suspended from the rod and introduced in both the wires is same then the ratio of tensions in them will be

A spherical ball contracts in volume by $$0.01$$% when subjected to a normal uniform pressure of $$100$$ atmospheres. The bulk modulus of its material in dyne $${cm}^{-2}$$ is:

The length of of a metal wire $$l$$ when the tension in is $$'F'$$ and $$'xl'$$ when the tension is $$'yF'$$. Then the natural length of the wire is 

A tungsten wire of length 20 cm is stretched by 0.1 cm. Find the strain on the wire.

When temperature of a gas is $$20^oC$$ and pressure is changed from $${ P }_{ 1 }=1.0\times { 10 }^{ 5 } Pa$$ to $${ P }_{ 2 }=1.65\times { 10 }^{ 5 } Pa$$ and the volume is changed by 10%. The bulk modulus is :

A solid cube is subjected to a pressure of $$\left( 5\times { 10 }^{ 5 }\quad N/{ m }^{ 2 } \right) $$. Each side of the cube is shortened by then volumetric strain and Bulk modulus of the cube are