A single crystal BCC metal with a lattice parameter \( a = 0.4 \, \text{nm} \) is subjected to deformation at a shear strain rate of \( 0.001 \, \text{s}^{-1} \).If the average mobile dislocation density in the single crystal is \( 10^{10} \, \text{m}^{-2} \), the average dislocation velocity is _________ (\( \times 10^{-3} \, \text{m s}^{-1} \)) (rounded off to two decimal places).Given: Burgers vector \( b = \frac{a}{2} \langle 111 \rangle \).
A cylindrical specimen is subjected to plastic deformation in tension up to a uniform elongation of 10%. The final cross-sectional area of the gage section is found to be 20 mm\(^2\). The initial cross-sectional area of the gage section is _________ mm\(^2\) (rounded off to an integer).
A cylindrical Al alloy billet of 300 mm diameter is hot extruded to produce a cylindrical rod of 75 mm diameter at a constant true strain rate (\( \dot{\varepsilon} \)) of 10 s\(^{-1}\). The flow stress (\( \sigma \)) of the alloy at the extrusion temperature is given by:\[ \sigma = 10 (\dot{\varepsilon})^{0.3} \, \text{MPa}. \] Assume the alloy is perfectly plastic and there is no temperature rise during the extrusion process.The ideal plastic work of deformation per unit volume is _________ (\( \times 10^6 \, \text{J m}^{-3} \)) (rounded off to one decimal place).
Two consecutive estimates of the root of a function \( f(x) \) obtained using the Newton-Raphson method are \( x_i = 8.5 \) and \( x_{i+1} = 13.5 \), and the value of the function at \( x_i \) is 15. The numerical value of the first derivative of the function evaluated at \( x_i \) is _________ (in integer).
Which of the following statement is correct? - i) Positive temperature coefficient - ii) Charge carrier in semiconductor are ions and electrons
Find the mean deviation of the following data:
