German physicist Werner Heisenberg related the uncertainty of an object's position ( Δ x ) (Δx) to the uncertainty in its velocity ( Δ v ) (Δv) Δ x ≥ h 4 π m Δ v Δx≥h4πmΔv where h h is Planck's constant and m m is the mass of the object. The mass of an electron is 9.11 × 10 − 31 kg. 9.11×10−31 kg. What is the uncertainty in the position of an electron moving at 1.00 × 10 6 m/s 1.00×106 m/s with an uncertainty of Δ v = 0.01 × 10 6 m/s ?

answer: semi-infinite solid initially at a uniform temperature of 400 ◦c is cooled at its surface by convection. the cooling fluid at a constant temperature of 200 ◦c has a convective coefficient (ha) of 250 w/m2.k. the physical properties of the solid: k = 20 w/m.k and α = 4 * 10-5  m2/s. using δx = 0.04 m and δt = 10 s. write the finite difference equations describing the transient heat transfer of the first five δx and the temperature profile after 30 s.