The dimensions of $\frac{\alpha}{\beta}$ in the equation $F=\frac{\alpha-t^2}{\beta v^2}$, where $F$ is the force, $v$ is velocity and $t$ is time, is ..........

  • A

    $\left[ MLT ^{-1}\right]$

  • B

    $\left[ ML ^{-1} T ^{-2}\right]$

  • C

    $\left[M L^3 T^{-4}\right]$

  • D

    $\left[ ML ^2 T ^{-4}\right]$

Similar Questions

The quantities which have the same dimensions as those of solid angle are:

  • [NEET 2024]

If energy $(E),$ velocity $(V)$ and time $(T)$ are chosen as the fundamental quantities, the dimensional formula of surface tension will be

  • [AIPMT 2015]

Let $[{\varepsilon _0}]$ denotes the dimensional formula of the permittivity of the vacuum and $[{\mu _0}]$ that of the permeability of the vacuum. If $M = {\rm{mass}}$, $L = {\rm{length}}$, $T = {\rm{Time}}$ and $I = {\rm{electric current}}$, then

  • [IIT 1998]

Dimensional formula for angular momentum is

  • [IIT 1983]

The dimensions of pressure are

  • [AIPMT 1994]