Q. Sometimes it is convenient to construct a system of units. So that all Iuontites Can be expressed in terms of only one physical Iuantity. In one such System, dimensions of diffrent Iuantites are given in term of a quontites \( x \) as pallows: [position \( ]=\left[x^{a}\right] \);
\( [ \) speed \( ]=\left[x^{\beta}\right] ;[\operatorname{acceleration}]=\left[x^{P}\right] \)
[Linear Homentum] \( =\left[x^{q}\right] ; \) [farce] \( =\left[x^{r}\right] \)
Then - [JEE Advance 2020 ]
