Field Theory Answers

Given that the period of ²¹⁰P_o is 138 days, calculate the number of nuclide of P₀ that is produced per second and per kilogram. Given that the Avogadro number, N=6.0 x 10²³ atoms/mole.

Two taps send out water in a boiler, one sends out warm water at 70⁰C at a rate of 0.05kg/s and the other sends out cold water at 10⁰C at a rate of 0.1kg/s. What would be the temperature of water in the recipient after 30s? Neglect the increase in temperature of the boiler.

What is Newton second law

Exercise: The following is Poiseuille’s equation which describes the flow of

fluid through a cylindrical tube. The constants are: P is pressure difference1,

[P] = ML−1T−2, r is radius, η is viscosity of the fluid, [η] = ML−1T−1, and l is the length of the tube:

flow rate = πP r4/8ηl

Here is another version of the same equation, where ρ is the density of the fluid,

[ρ] = ML−3,

flow rate = πρP r4/8ηl

Use dimensional analysis to determine the dimension(s) of the flow rate- Are

these equations the same?

Vector a has magnitude of 8 units and makes an angle of 45 with the positive x-axis vector b also has the same magnitude of 8 units and directed along the negative x-axis find the magnitude and direction of A+B

The following is Poiseuille’s equation which describes the flow of

fluid through a cylindrical tube. The constants are: P is pressure difference1

,

[P] = ML−1T

−2

, r is radius, η is viscosity of the fluid, [η] = ML−1T

−1

, and l

is the length of the tube:

flow rate = πP r4

8ηl

Here is another version of the same equation, where ρ is the density of the fluid,

[ρ] = ML−3

,

flow rate = πρP r4

8ηl

Use dimensional analysis to determine the dimension(s) of the flow rate- Are

these equations the same?

Give the analyses of the two dominant systems you would wish to install in your 

workshop. (4)