A FORCE OF 40N APPLIED AT THE END OF THE WIRE OF LENGTH 4M AND DIAMETER 200MM PROCESS AND EXTENSTION OF 0.24 CAL YOUNG MODULUS

0.24 what?

meters? miles? centimeters? millimeters ? fathoms?
Y = Young's Modulus = stress / strain = F / (pi r^2) / [ length change / L]
Do all your lengths in METERS !!! and force in Newtons
and r = D/2 = 100mm = 0.100 meter