ENGR/MSE 170 BFinal exam(Total:105pts)Exam is closed book(Two sheets of letter size paper allowed)Instruction:1.Place your name and student ID on top page2.Write legibly3.Show work as need to justify answers4.Circle all final numerical answersProblem 1.Basics (40 points): Answering following questionsa. A hard sphere unit cell of FCC is shown in the figure below. Determine number ofatoms per unit cell, coordination number, and relation between cubic edge a and theradius R.b. What are atomic mechanisms for interstitial and vacancy diffusion? Give two reasonswhy interstitial diffusion is normally more rapid than vacancy diffusion.