The young's modulus of the material of wire will be

How to get the young modulus of the material
The young Modulus of a material is defined as the stiffness of a given material. It can be described as the stress that a property would get in response to the strain that it receives
The formula is given as
Force * load / Δ in load * A
We have to first solve for the strain then we solve for the stress
wire contract / length of wire

= 1 / 140
We have to solve for the stress next
stress = 500 x 10 = 5000
5000/ 10 * 10⁻⁶
= 500 x 10⁶
Young modulus = stress / strain
=

= 500000000 / 0.007142857
= 70,000,000,420
=

The young's modulus of the material of wire will be

Complete question
A block of mass 500kg is suspended by wire of length 70 cm. The area of cross-section of wire is 10mm square. When the load is removed, the wire contracts by 0.5cm. The young's modulus of the material of wire will be