Question

Transform the following into the mathematical form:

(i) Temperature remaining constant, the volume (v) fo a compressed gas and its pressure (p) are inversely proportional to each other.
(ii) The intensity (I) of light from a lamp varies inversely as the square of the distance (D)
(iii) The wave length ($\lambda$) of sound and its frequency ($\eta$) are in inverse proportiton.

Answer 1

$$\begin{gathered} \left(\mathrm{i}\right)v\alpha \frac{1}{p} \\ \left(\mathrm{ii}\right)\mathrm{I}\alpha \frac{1}{{\mathrm{D}}^2} \end{gathered}$$

$(\mathrm{iii})\mathrm{\lambda }\alpha \frac{1}{\mathrm{\eta }}$