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  • In the equation <img alt="\left[x+\frac{a}{y^2}\right][Y-b]=R T" src="https://entrancecorner.oncodecogs.com/gif.latex?%5Cleft%5Bx&plus;%5Cfrac%7Ba%7D%7By%5E2%7D%5Cright%5D%5BY-b%5D%3DR%20T

In the equation \left[x+\frac{a}{y^2}\right][Y-b]=R T is pressure, Y is volume, R is universal gas constant ant T is temperature. The physical quantity equivalent to the ratio \frac{a}{b} is :
 

 

Option: 1

Coefficient of viscosity 


Option: 2

Energy
 


Option: 3

Impulse 


Option: 4

Pressure gradient


Answers (1)

best_answer

x$ and $\frac{a}{y^2}$ have same dimensions $\mathrm{y}$ and $\mathrm{b}$ have same dimensions $$ \begin{aligned} & {[\mathrm{a}]=\left[\mathrm{ML}^5 \mathrm{~T}^{-2}\right]} \\ & {[\mathrm{b}]=\left[\mathrm{L}^3\right]} \\ & \frac{[\mathrm{a}]}{[\mathrm{b}]}=\mathrm{ML}^2 \mathrm{~T}^{-2} \text { has dimension of energy } \end{aligned}

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Kuldeep Maurya

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