General Physics Ques 11
- Column I gives three physical quantities. Select the appropriate units for the choices given in Column II. Some of the physical quantities may have more than one choice.
(1990, 3M)
$ \begin{array}{|c|c|} \hline \text { Column I } & \text { Column II } \\ \hline \text { Capacitance } & \text { ohm-second } \\ \hline \text { Inductance } & \text { Coulomb }^2 \text {-joule }{ }^{-1} \\ \hline \text { Magnetic induction } & \begin{array}{l} \text { Coulomb (volt) })^{-1} \text {, Newton (ampere } \\ \text { metre) })^{-1} \text {, volt-second (ampere) }{ }^{-1} \end{array} \\ \hline \end{array} $
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Answer:
Correct Answer: 11.( See the solution )
Solution:
$ \begin{aligned} t & \equiv \frac{L}{R} \\ \therefore \quad L & \equiv t R \equiv \text { ohm-second } \\ U & \equiv \frac{q^2}{2 C} \\ \therefore \quad C & \equiv \frac{q^2}{U} \equiv \text { coulomb}^2 / \text { joule } \\ q & \equiv C V \\ \therefore \quad C & \equiv \frac{q}{V} \equiv \text { coulomb/volt } \\ L & \equiv \frac{-e}{d i / d t} \\ \therefore \quad L & \equiv \frac{e(d t)}{(d i)} \equiv \text { volt-second/ampere } \\ \quad F & =i l B \\ \therefore \quad B & \equiv \frac{F}{i l} \equiv \text { Newton/ampere-metre } \end{aligned} $
$ \begin{array}{|c|c|} \hline \text { I } & \text { II } \\ \hline \text { Capacitance } & \text { Coulomb/(volt })^{-1} \text { coulomb }^2 / \text { joule } \\ \hline \text { Inductance } & \text { Ohm-second, volt second/ampere }{ }^{-1} \\ \hline \text { Magnetic induction } & \text { Newton/(ampere - metre) } \\ \hline \end{array} $
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