Units and Measu...

The equation of state of a gas is given by $$\begin{pmatrix}P+\dfrac{a}{v^3}\end{pmatrix} (V-b^2) = cT$$, where P, V, T are pressure, volume and temperature respectively, and a, b, c are constants. The dimensions of a and b are respectively

$$ML^{-1}T^{-2}$$ is the dimensional formula of

Two  quantities X and Y have different dimension. Which mathematical operation given below is physically meaningful?

Four students measure the height of a tower. Each student uses different methods and each measures the height many times. The data for each are plotted. The measurement with the highest precision is:

The dimensions formula of ( velocity $$)^2  /$$ radius are the same of that of :

If the dimensions of length are expressed as a $$G^x \cdot C^y \cdot h^z$$, where G, C and h are the universal gravitational constant, speed of light and plank constant respectively, then value of x,y,z will be :

The dimension of $$\displaystyle \frac{a}{b}$$ in the equation $$\displaystyle p = \frac{a-t^2}{bx}$$ where p is pressure, x is distance and t is time is

The Quantum Hall Resistance $$R_{H}$$ is a fundamental constant with dimensions of resistance. If $$h$$ is Planck's constant and $$e$$ the electron charge, then the dimension of $$R_{H}$$ is the same as.

Express 0.006006 into scientific notation in three significant digits:

The dimensions of capacitance are :