Units and Measu...

A metal sample carrying a current along $$X-$$axis with density $$J_{x}$$ is subjected to a magnetic field $$B_{z}$$ (along $$z-$$axis). The electric field $$E_{y}$$ developed along $$Y-$$axis is directly proportional to $$J_{x}$$ as well as $$B_{z}$$. The constant of proportionality has $$SI$$ unit.

Give the MKS units for the following quantities.
Power of lens.

In the formula $$X=3YZ^2$$, X and Z have dimensions of capacitance and magnetic induction respectively. The dimensions of Y in MKSQ system are ________.

Planck's constant has the dimensions ___________.

The physical quantities not having same dimensions are:

If $$y$$ represents pressure and $$x$$ represents velocity  gradient, then the dimensions of $$\dfrac { { d }^{ 2 }y }{ d{ x  }^{ 2 } }$$ are

Two particles X and Y having equal charges, after being accelerated through the same potential difference, enter a region of uniform magnetic field and describe circular paths of radii $$R_1$$and $$R_2$$, respectively. The ratio of the masses of  X to that of Y is

The physical quantities which do not have same dimensions are

The velocity of a body moving viscous medium is given by $$V=\dfrac { A }{ B } [1-{ e }^{ { -t }/{ B } }]$$ where $$t$$ is time, $$A$$ and $$B$$ are constants. Then the dimensional formula of $$A$$ is:

The equation of the state of some gases can be expressed as $$(P + \dfrac{a}{V^2} = \dfrac{R\theta}{V})$$, where P is the pressure. V the volume, $$\theta$$ the absolute temperature and a and b are constant. The dimensional formula of a is