Modulus of a real no and virnaculum or bar

The increase in energy of a metal bar of length L and cross-sectional area A when compressed with a load M along its length is (where, Y= Young's modulus of the material of metal bar)

Y,K, eta represent the Young's modulus, bulk modulus and rigidily modulus for a body respectively. If rigidity modulus is twice the Bulk Modulus, then,

The relationship between Young's modulus Y, Bulk modulus K and modulus of rigidity eta is

Modulus of nonzero complex number z satisfying bar(z)+z=0 and |z|^(2)-4zi=z^(2) is

Property 1 (Modulus function) For any real no. x sqrt(x^(2))=|x|

The Young's modulus, bulk modulus and the modulus of rigidity have

A metal bar of length L and area of cross-section A is rigidly champed between two walls. The Young's modulus of its material is Y and the coefficient of linear expansion is alpha . The bar is heated so that its temperature is increased by theta^(@)C . Find the force exerted at the ends of the bar.

A rectangular bar 2 cm in breadth, 1cm in depth and 100 cm in length is supported at its ends and a load of 2kg is applied at its middle. If young's modulus of the material of the bar is 20 xx 10^(11) cyn cm^(-2) , the depression in the bar is