1) To ensure complete similarity, the model and prototype must be  a) same material b) similar geometric and all independent groups are match c) same geometric d) in same fluid 2) Temperature is a dimension, kelvin is a unit. True or False

*3.2 PQ1 A 100 mm diameter sphere contains an ideal gas at 20°C. Apply the grid method (p. 9) to calculate the density in units of kg/m³. a. Gas is helium. Gage pressure is 20 in H,O. b. Gas is methane. Vacuum pressure is 3 psi.

A www-awu.aleks.com/alekscgi/x/Isl.exe/1o_u-IgNslkr7j Knowledge Check Fill in the missing values to make the equations true. (a) log, 8 - log, 11 = log, || (b) log, + log, 9 = log, 45 (c) log. 9 = 2 log.

**Problem 1.15 Suppose you wanted to describe an unstable particle, that spon- taneously disintegrates with a "lifetime" t. In that case the total probability of finding the particle somewhere should not be constant, but should decrease at (say) an exponential rate: too P(t) = | V(x,1)1²dx = e=1/*. -0- A crude way of achieving this result is as follows. In Equation 1.24 we tacitly assumed that V (the potential energy) is real. That is certainly reasonable, but it leads to the "conservation of probability" enshrined in Equation 1.27. What if we assign to V an imaginary part: V = Vo – ir, where Vo is the true potential energy and r is a positive real constant? (a) Show that (in place of Equation 1.27) we now get dP 21 = --P. dt (b) Solve for P(1), and find the lifetime of the particle in terms of r.