Mechanical Prop...

When a certain force is applied on a string it extends by $$0.01cm$$. When the same force is applied on another string of same material, twice the length and double the diameter, then the extension in second string is

When load is applied to a wire, the extension is $$3mm.$$ The extension in the wire of same material and length but half the radius extended by the same load is :

A steel wire is 1m long and 1$$mm^2$$ in the area of cross-section. If it takes $$200N$$ to stretch the wire by $$1mm$$, the force that will be required to stretch the wire of the same material and cross-sectional area from a length of $$10m$$ to $$1002 cm$$

When a tension $$F$$ is applied, the elongation produced in uniform wire of length $$L$$, radius $$r$$ is $$e$$. When tension $$2F$$ is applied, the elongation produced in another uniform wire of length $$2L$$ and radius $$2r$$ made of same material is:

When a uniform wire of radius r is stretched by a $$2 kg$$ weight, the increase in its length is $$2.00 mm$$. If the radius of the wire is $$r/2$$ and other conditions remain in the same, increase in its length is

The elongation of a steel wire stretched by a force is '$$e$$'. If a wire of the same material of double the length and half the diameter is subjected to double the force, its elongation will be                         

What percent of length of a wire will increase by applying a stress of $$1 kg$$. wt/mm$$^{2}$$ on it.   
[Y$$=$$1x10$$^{11}$$Nm$$^{-2}$$ and $$1 kg wt$$ $$=$$ 9.8N]

A metallic ring of radius 'r', cross sectional area 'A' is fitted into a wooden circular disk of radius 'R' (R > r). If the Young's modulus of the material of the ring is 'Y', the force with which the metal ring expands is :

Four wires P,Q,R and S of same materials have diameters and stretching forces as shown below. Arrange their strains in the decreasing order.

An aluminium wire and steel wire of the same length and cross section are joined end to end.The composite wire is hung from a rigid support and a load is suspended from the free end. The young's modulus of steel is $$20/7$$ times the aluminium. The ratio of increase of length of steel and aluminium is