Question The company you work for produces a Titanium alloy with two different grain sizes to get two different strength values. The yield strength is 100 MPa for an annealed alloy with a grain diameter, d = 400 um. Ifyou cold work and recrystallize the alloy to achieve grain diameter, d = 4 um, the yield strength is increased to 280 MPa. After reading the "Over Simplified and Sensationalized Mechanics for People without Scientific Backgrounds" magazine your boss is very excited about A.I., nanotechnology, robots, and drones. Now he is interested in producing nano-structured Titanium exoskeletons for some flying sentient weaponized cockroach-like "toys" he wants to develop for a mysterious and secretive client who lives in a volcano on a private island. He asks you to determine the strength of this Titanium alloy if you can reduce the grain diameter to 100 nanometers. Determine the Hall-Petch constants: \sigma_{0}= k=\quad M P a \cdot \sqrt{m} Calculate the possible yield strength of this alloy with a grain diameter of 100 nanometers: