Question

Which of the following relation is correct? (i) $\frac{x}{m} =$ constant (at high pressure) (ii) $\frac{x}{m} =$ constant $\times\, p^{1/n}$ (at intermediate pressure) (iii) $\frac{x}{m} =$ constant $\times \,p^n$ (at lower pressure)

• A. All are correct
• B. All are wrong
• C. (i) and (ii) are correct
• D. (iii) is correct

Answer 1

The Correct Option is C

At lower pressure, the graph is nearly straight and sloping, i.e.,
$\frac{x}{m} \propto p^1$
or $\frac{x}{m} =$ constant $\times p^1$
At high pressure, $\frac{x}{m}$ becomes independent of value of pressure.
$\frac{x}{m} \propto p^0$
or $\frac{x}{m} =$ constant
In the intermediate range of pressure, $\frac{x}{m}$ will depend on $p$ raised to powers between $1$ and $0$, i.e., fractions.
$\frac{x}{m} \propto p^{\frac{1}{n}}$
or $\frac{x}{m} =$ constant $\times p^{\frac{1}{n}}$