Unit of moment of inertia in MKS system

How many wavelengths of $K{r^{86}}{\rm{\;}}$ are there in one metre

The viscous force $F$ acting on a sphere moving through a liquid depends on the radius $r$ of the sphere, the velocity $v$ of the sphere, and the coefficient of viscosity $η$ of the liquid. If $F = kη^arv^b$, where $k$ is a dimensionless constant, using dimensional analysis, find the values of $a$, $b$.

In an experiment the angles are required to be measured using an instrument. 29 divisions of the main scale exactly coincide with the 30 divisions of the vernier scale. If the smallest division of the main scale is half-a-degree $\left( { = 0.5^\circ } \right),$ then the least count of the instrument is

The mass of a box is 2.3 g. Two gold pieces, each of mass 0.035 g, are placed in it. The total mass of the box and gold pieces is

Which relation is wrong

If the velocity ($v$), acceleration ($a$), and time ($t$) are related by an equation $v = at + bt^2$, what are the dimensions of $b$?

A physical quantity u is given by the relation $u = \frac{{{B^2}}}{{2{{\rm{\mu }}_0}}}$ here, B=magnetic field strength ${{\rm{\mu }}_0} =$ magnetic permeability of vacuum.

Which of the following quantities has not been expressed in proper unit

If the equation $P = \frac{F}{A}$ is dimensionally homogeneous, where $P$ is pressure, $F$ is force, and $A$ is area, what are the dimensions of pressure?

$1kWh\; =$