If the unit of force is $1 \,kN$,the unit of length is $1 \,km$,and the unit of time is $100 \,s$,what will be the unit of mass in $kg$?

Why does the concept of dimension have basic importance?

In a new system of units,the unit of mass is $a \ kg$,and the units of length and time are $b \ m$ and $c \ s$,respectively. What is the magnitude of $6 \ W$ of power in this system?

Given that the displacement of an oscillating particle is given by $y = A \sin(Bx + Ct + D)$. The dimensional formula for $ABCD$ is: (Here $x$ is position,$t$ is time)

Which of the following equations is dimensionally incorrect?
Where $t=$ time,$h=$ height,$s=$ surface tension,$\theta=$ angle,$\rho=$ density,$a, r=$ radius,$g=$ acceleration due to gravity,$v=$ volume,$p=$ pressure,$W=$ work done,$\Gamma=$ torque,$\varepsilon=$ permittivity,$E=$ electric field,$J=$ current density,$L=$ length.

In a practical unit system,if the unit of mass becomes double and that of time becomes half,then $8 \text{ joule}$ will be equal to .............. unit of work.