(20 points) given a string t[1..n], a number k < n is called a period of the string if for every i < n − k, t[i] = t[i + k] and k is smallest such number. for example, abcabcabcabcab has period 3. give a linear time algorithm to find the period of a string.

When at a point two solid phase changes to one solid phase on cooling then it is known as a) eutectoid point b) eutectic point c) peritectic point d) peritectoid point

If the thermal strain developed in polyimide film during deposition is given as 0.0044. assume room temperature is kept at 17.3 c, and thermal coefficient of expansion for the film and the substrate are 54 x 10^-6c^-1 and 3.3 x 10^-6c^-1respectively. calculate the deposition temperature.

Draw the engineering stress-strain curve for (a) bcc; (b) fcc metals and mark important points.