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What is strain? Define different types of strains.


When we apply deforming force on a body, the shape of the body changes and body is said to be strained. Strain is measured as the ratio of change in configuration to the original configuration.

There are three type of strains: (i) Longitudinal strain: When the deforming force produces a change in length only then the strain produced in the body is called longitudinal strain. The longitudinal strain is measured as the ratio of change in length (∆L) of body to its original length L.

space space space space space space space space space space space space Longitudinal space strain space equals space ΔL over straight L

(ii) Volumetric strain: When the deforming force produces a change in volume only then the strain produced in the body is called volumetric strain. The volumetric strain is measured as the ratio of change in volume (∆V) of the body to its original volume V.

space space space space space Volumetric space strain space equals space ΔV over straight V

(iii) Shearing strain: When the deforming force produces a change only in shape of the body without changing its volume then the strain produced in the body is called sheer strain. It is the ratio of the relative displacement of one plane to its perpendicular distance from the fixed plane.


When we apply deforming force on a body, the shape of the body change

All types of strains are dimensionless.

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Name the property of material that opposes the deformation in it.

Elasticity. 
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Three vessels shown in the figure have same base area. These vessels are filled with same quantity of same liquid. In which vessel will the force on the base be maximum? 


The vessel (iii) is narrowest and vessel (i) is widest at the top. Therefore when the vessels are filled by same quantity of liquid, the height column of liquid in vessel (iii) will be maximum and in vessel (i) is minimum. Thus the pressure due to height column of liquid at the base is maximum in vessel (iii) and minimum in vessel (i).

As the base area of all the vessels is same, hence the force at the base of vessel (iii) will be maximum and that at the base of vessel (i) will be minimum.
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 Name the quantity which has neither unit nor dimensions.

Strain.
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Which state of matter possesses rigidity?

Solids posess rigidity. 
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