Show that the Young.s modulus of the material of a wire is equal to the stress required to double the initial length of the wire. Assume that Hookes law holds good throughout the process.

The Young's modulus of the material of a wire is equal ot the

What will be the stress required to double the length of a wire of Young's modulus Y?

Show dimensionally that the expression , T = (MgL)/(pi r^(2)l is dimensionally correct , where T is Young 's modulus of the length of the wire ,Mg is the weight applied in the wire and L is the original length of the wire ,and l is the increase in the length of the wire .

If 'S' is stress and 'Y' is young's modulus of material of a wire, the energy stored in the wire per unit volume is

Within elastic limits, if stress is equal to Young.s modulus, what is the final length of the wire undergoing stress?

The length of a rod is 20 cm and area of cross-section 2 cm^(2) . The Young's modulus of the material of wire is 1.4 xx 10^(11) N//m^(2) . If the rod is compressed by 5 kg-wt along its length, then increase in the energy of the rod in joules will be

A force F doubles the length of wire of cross-section a The Young modulus of wire is

The increase of length of a wire under a load is equal to its initial length. What is the stress in the wire equal to?

Consider a uniform wire of length l . Cross-sectional area A, Young's modulus of the material of the wave is Y. Some information related to the wire is given in column-1 and dependence of the result is given in column-2. Then match the approprite choice between the columns and match the list given in options {:("Column-I"" ""Column-II"),("(A) Let us suspend wire vertically from a"" ""(p) Young'sModulus" ),("rigud support and attach a mass m at"),("its lower end. If the mass is slightly pulled"),("down and released, it executes S.H.M"),("of a time period which will depend on"),("(B) Work done in stretching the wire up to length"" ""(q) elongation (x)"),(l+x "will depend on"),("(C) If the given is fixed between two rigid"" ""(r) length (l)"),("supports and its temperature is decreased"),("thermal stress that develops in the wire"),("will depend on"),("(D) If the wire is pulled at its ends equal and"" ""(s) area of cross-section (A) "),("opposite forces of magnitude F so that it"),("undergoes an elongation x, according to"),("Hook's law, F=kx, where k is the force"),("constant.Force constant (k) of the wire"),("will depend on"):}

In determination of young modulus of elasticity of wire, a force is applied and extension is recorded. Initial length of wire 1m . The curve between extension and stress is depicted then young modulus of wire will be: