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Mechanical Properties of Solids

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Physics Part II

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Physics

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CBSE Gujarat Board Haryana Board

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Class 10 Class 12
 If α is the volumetric strain and l is the longitudinal strain, then find the Poisson’s ratio in terms of a and β.

Let a wire of length l, diameter d be loaded by force F.

Let dl be the change in length and dV the change in volume, and dD be the change in the diameter.

Volume of wire before the force is applied is,

              
straight V apostrophe equals πr squared straight t equals πD squared over 4 straight ell 

Volume of wire after the force is applied is,

             straight V apostrophe equals straight pi over 4 open parentheses straight D plus dD close parentheses squared open parentheses straight ell plus straight d straight ell close parentheses

Change in volume is,

dV = V' - V

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rightwards double arrow space space space space space space space space dV over straight V equals 2 dD over straight D plus fraction numerator straight d straight ell over denominator straight ell end fraction space

rightwards double arrow space space space space space fraction numerator dVIV over denominator straight d straight ell straight I straight ell end fraction equals 2 space space fraction numerator dDID over denominator straight d straight ell straight I straight ell end fraction plus 1


rightwards double arrow space space straight alpha over straight beta equals negative 2 straight sigma plus 1 space space space space space space space space space space space space space space space space space space space space space space open square brackets because space straight sigma equals space space fraction numerator dDID over denominator straight d straight ell straight I straight ell end fraction close square brackets
rightwards double arrow space space space straight sigma equals 1 half open parentheses 1 minus straight alpha over straight beta close parentheses

136 Views

What is the force of adhesion?

Adhesive force is the attractive force between two unlike molecules. They are caused by forces acting between two substances like electrostatic force (attraction due to opposing charges), mechanical force etc. 

E.g., Force of attraction between gum and paper.

587 Views

What is the nature of inter-atomic or inter-molecular forces?

Inter-atomic or inter-molecular forces are electrostatic in nature. 

637 Views

What is the force of cohesion?

Cohesive attraction or cohesive force is the force of attraction between same types of molecules sticking together. 
651 Views

Define interatomic forces and give an example?

The force between atoms of the molecule is called interatomic force.

E.g.The nucleus and electron cloud of a molecule is binded by electrostatic force. 
1032 Views

What do you understand by intermolecular forces?

Intermolecular force is the force between the molecules of the substance is called intermolecular force.

There is a dipole-dipole interaction between the molecules.
630 Views