The entropy of any | Unit and Measurement

JEE MAIN 2021

20-07-2021 - S1

Question

The entropy of any system is given by
$\mathrm{S}=\alpha^2 \beta 1 \mathrm{n}\left[\frac{\mu \mathrm{kR}}{\mathrm{J} \beta^2}+3\right]$
Where $\alpha$ and $\beta$ are the constants. $\mu, \mathrm{J}, \mathrm{k}$ and R no. of moles, mechanical equivalent of heat, Boltzmann constant and gas constant respectively.
$\left[\right.$ Take $\left.S=\frac{d Q}{T}\right]$
Choose the incorrect option from the following :

Select the correct option:

$\alpha$ and J have the same dimensions

$\mathrm{S}, \beta, \mathrm{k}$ and $\mu \mathrm{R}$ have the same dimension

S and $\alpha$ have different dimensions

$\alpha$ and $k$ have the same dimension

✓ Correct! Well done.

✗ Incorrect. Try again or view the solution.

Solution