Dimensional Analysis

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\( {\rm kg^{-1}m^{-3} }\)

Beschreibung

Diagnostic Maths Test Quiz am Dimensional Analysis, erstellt von Jackie Grant am 01/02/2017.

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Jackie Grant

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English

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581

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Erstellt am 1 Feb 2017 · aktualisiert am 17 Mai 2017

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maths testdiagnostic

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