In the equation X+(aY^2[Y-b]=R)/(T, X is pressure, Y is volume, R is universal gas constant and T is temperature. The physical quantity equivalent to…

Question

In the equation X+(aY^2[Y-b]=R)/(T, X is pressure, Y is volume, R is universal gas constant and T is temperature. The physical quantity equivalent to the ratio ab) is:

MARKS Content Team · Accepted Answer

Correct answer: (B) Energy. X & (aY^2 have the same dimensions. Y & b also have the same dimensions.Therefore,aY^2=ML^(-1)T^(-2)⇒a=ML^(-1)T^(-2)×L^6=ML^5T^(-2)and b=L^3.So, the dimensions of a)/b is, a/b=ML^5T^(-2)L^3=ML^2T^(-2). This is the dimensional form of energy. Hence, this is the right option.

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

Solution

Relevant Questions

In the equation X+aY2[Y-b]=RT, X is pressure, Y is volume, R is universal gas constant and T is temperature. The physical quantity equivalent to the ratio ab is:

Solution

Relevant Questions

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