At a sudden contraction in a pipe the diameter changes from D1 to D2. The pressure drop, Δp, which develops across the contraction is a function of D1 and D2 as well as the velocity, V, in the larger pipe, and the fluid density, rho, and viscosity, μ. Use D1, V, and μ as repeating variables to determine a suitable set of dimensionless parameters. Find how many pi terms are required to describe this problem. Why would it be incorrect to include the velocity in the smaller pipe as an additional variable?

How are series and parallel circuits simililar? both have multiple paths for electrons to travel. both require resistors in their circuits. both require a switch to complete the circuit. both have at least one path for electrons to travel.

What is the major limitation to the light microscope?

Cyclotrons are widely used in nuclear medicine for producing short-lived radioactive isotopes. these cyclotrons typically accelerate h- (the hydride ion, which has one proton and two electrons) to an energy of 5 mev to 20 mev. this ion has a mass very close to that of a proton because the electron mass is negligible—about 1 2000 of the proton’s mass. a typical magnetic field in such cyclotrons is 1.9 t. (a) what is the speed of a 5.0-mev h-? (b) if the h- has energy 5.0 mev and b = 1.9 t, what is the radius of this ion’s circular orbit?