Jackie Grant
Quiz by , created more than 1 year ago

Diagnostic Maths Test Quiz on Dimensional Analysis, created by Jackie Grant on 02/01/2017.

514
0
0
Jackie Grant
Created by Jackie Grant almost 8 years ago
Close

Dimensional Analysis

Dimensional Analysis

Question 1 of 5

1

\( {\rm What \ are \ the \ dimensions \ of \ velocity?}\)

Select one of the following:

  • \( {\rm \frac{[Length]}{[Time]} }\)

  • \( {\rm [Length] }\) - \( {\rm [Time] }\)

  • \( {\rm [Length] \ x \ [Time] }\)

  • \( {\rm \frac{[Time]}{[Length} }\)

  • \( {\rm {[Length]} \ + \ {[Time]} }\)

Explanation

Question 2 of 5

1

\( {\rm Given}\) \(E=mc^2,\) \( {\rm which \ of \ the \ below \ is \ the \ equivalent \ unit \ for \ the \ Joule?}\)

Select one of the following:

  • \( {\rm kgm^2s^{-2} }\)

  • \( {\rm kgm^2s^{-4} }\)

  • \( {\rm kg^2m^2s^{-2} }\)

  • \( {\rm kg^2m^2s^2 }\)

  • \( {\rm kgm^3s^{-2} }\)

Explanation

Question 3 of 5

1

\( {\rm The \ Boltzmann \ constant, \ } k_b {\rm \ is \ defined \ as \ } k_b = \frac{R}{N_0}, {\rm \ where \ } R {\rm \ is \ the \ gas \ constant \ with \ units \ Jmol^{-1}K^{-1}, \ and \ }\) \( N_0 {\rm \ is \ Avagadro's \ constant \ with \ unit \ mol^{-1}. \ Using \ this \ information, \ what \ are \ the \ units \ of } \ k_b? \)

Select one of the following:

  • \( {\rm JK^{-1} }\)

  • \( {\rm JK }\)

  • \( {\rm J^{-1}K^{-1} }\)

  • \( {\rm JK^{-1}mol }\)

  • \( {\rm JK^{-1}mol{-1} }\)

Explanation

Question 4 of 5

1

\( {\rm The \ Coulomb \ constant \ is \ defined \ as \ } k = \frac{1}{4\pi\epsilon_0} {\rm What \ is \ the \ value \ of \ } \ k? \)

\(\epsilon_0=8.85 {\rm \ x \ }10^{-12} {\rm \ C^2N^{-1}m^{-2} }\)

Select one of the following:

  • \( {\rm 8.987 \ x \ 10^9 \ Nm^2C^{-2} }\)

  • \( {\rm 8.987 \ x \ 10^9 \ NC^2m^2 }\)

  • \( {\rm 8.987 \ x \ 10^9 }\)

  • \( {\rm 8.987 \ x \ 10^9 \ C^2N^{-1}m^{-2} }\)

  • \( {\rm 8.987 \ x \ 10^9 \ C^{-2}N^{-1}m^{-2} }\)

Explanation

Question 5 of 5

1

\( {\rm Given \ } \rho = \frac{m}{V} {\rm \ what \ are \ the \ units \ of \ } \rho {\rm?}\)

Select one of the following:

  • \( {\rm kgm^{-3} }\)

  • \( {\rm kgm^3 }\)

  • \( {\rm kg^{-1}m^3 }\)

  • \( {\rm kgm^{-1} }\)

  • \( {\rm kg^{-1}m^{-3} }\)

Explanation

Previous
Check answer
Next