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Dimensional Analysis

Jackie Grant 5 questions Updated 17 May 2017

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Questions in this quiz (5)

  1. 1\( {\rm What \ are \ the \ dimensions \ of \ velocity?}\)
    1. A\( {\rm \frac{[Length]}{[Time]} }\)
    2. B\( {\rm [Length] }\) - \( {\rm [Time] }\)
    3. C\( {\rm [Length] \ x \ [Time] }\)
    4. D\( {\rm \frac{[Time]}{[Length} }\)
    5. E\( {\rm {[Length]} \ + \ {[Time]} }\)
  2. 2\( {\rm Given}\) \(E=mc^2,\) \( {\rm which \ of \ the \ below \ is \ the \ equivalent \ unit \ for \ the \ Joule?}\)
    1. A\( {\rm kgm^2s^{-2} }\)
    2. B\( {\rm kgm^2s^{-4} }\)
    3. C\( {\rm kg^2m^2s^{-2} }\)
    4. D\( {\rm kg^2m^2s^2 }\)
    5. E\( {\rm kgm^3s^{-2} }\)
  3. 3\( {\rm The \ Boltzmann \ constant, \ } k_b {\rm \ is \ defined \ as \ } k_b = \frac{R}{N_0}, {\rm \ where \ } R {\rm \ is \ the \ gas \ constant \ with \ units \ Jmol^{-1}K^{-1}, \ and \ }\) \( N_0 {\rm \ is \ Avagadro's \ constant \ with \ unit \ mol^{-1}. \ Using \ this \ information, \ what \ are \ the \ units \ of } \ k_b? \)
    1. A\( {\rm JK^{-1} }\)
    2. B\( {\rm JK }\)
    3. C\( {\rm J^{-1}K^{-1} }\)
    4. D\( {\rm JK^{-1}mol }\)
    5. E\( {\rm JK^{-1}mol{-1} }\)
  4. 4\( {\rm The \ Coulomb \ constant \ is \ defined \ as \ } k = \frac{1}{4\pi\epsilon_0} {\rm What \ is \ the \ value \ of \ } \ k? \)

    \(\epsilon_0=8.85 {\rm \ x \ }10^{-12} {\rm \ C^2N^{-1}m^{-2} }\)
    1. A\( {\rm 8.987 \ x \ 10^9 \ Nm^2C^{-2} }\)
    2. B\( {\rm 8.987 \ x \ 10^9 \ NC^2m^2 }\)
    3. C\( {\rm 8.987 \ x \ 10^9 }\)
    4. D\( {\rm 8.987 \ x \ 10^9 \ C^2N^{-1}m^{-2} }\)
    5. E\( {\rm 8.987 \ x \ 10^9 \ C^{-2}N^{-1}m^{-2} }\)
  5. 5\( {\rm Given \ } \rho = \frac{m}{V} {\rm \ what \ are \ the \ units \ of \ } \rho {\rm?}\)
    1. A\( {\rm kgm^{-3} }\)
    2. B\( {\rm kgm^3 }\)
    3. C\( {\rm kg^{-1}m^3 }\)
    4. D\( {\rm kgm^{-1} }\)
    5. E\( {\rm kg^{-1}m^{-3} }\)

Information

Description
Diagnostic Maths Test Quiz on Dimensional Analysis, created by Jackie Grant on 01/02/2017.
Language
English
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581
History
Created on 1 Feb 2017 · updated on 17 May 2017
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maths testdiagnostic
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