Taking into account the significant figures, what is the value of $9.99\text{ m} - 0.0099\text{ m}$?

In an experiment, four quantities $a$, $b$, $c$ and $d$ are measured with percentage error $1\%$, $2\%$, $3\%$ and $4\%$ respectively. Quantity $P$ is calculated as follows: $P=\frac{a^3b^2}{cd}$. Percentage error in $P$ is:

Dimensional formula for volume elasticity is

The velocity $v$ of a particle at time $t$ is given by $v = at + \frac{b}{t+c}$, where $a$, $b$ and $c$ are constants. The dimensions of $a$, $b$ and $c$ are respectively:

Which one has the dimensions different from the remaining three?

Of the following quantities, which one has dimensions different from the remaining three?

If the unit of length and force be increased four times, then the unit of energy is:

Which of the following pairs of physical quantities has the same dimensions?

The force $F$ on a sphere of radius ‘$a$’ moving in a medium with velocity ‘$v$’ is given by $F = 6\pi\eta av$. The dimensions of $\eta$ are: