If $E$ and $G$ respectively denote energy and gravitational constant,then $\frac{E}{G}$ has the dimensions of :

  • A
    $[M][L^{-1}][T^{-1}]$
  • B
    $[M^{2}][L^{-1}][T^{0}]$
  • C
    $[M][L^{0}][T^{0}]$
  • D
    $[M^{2}][L^{-2}][T^{-1}]$

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Similar Questions

Let $[{\varepsilon _0}]$ denote the dimensional formula of the permittivity of free space and $[{\mu _0}]$ denote the dimensional formula of the permeability of free space. If $M = \text{mass}$,$L = \text{length}$,$T = \text{time}$,and $I = \text{electric current}$,then:

The dimensional formula for angular momentum is

Different physical quantities are given in Column-$I$ and their dimensional formulas are given in Column-$II$. Match them appropriately.
Column-$I$ Column-$II$
$(a)$ Viscous force $(i)$ $[M^1 L^1 T^{-2}]$
$(b)$ Coefficient of viscosity $(ii)$ $[M^1 L^{-1} T^{-1}]$
$(iii)$ $[M^1 L^{-1} T^{-2}]$

Match the physical quantities in Column-$I$ with their corresponding dimensional formulas in Column-$II$.
Column-$I$ Column-$II$
$(1)$ Torque $(a)$ $M^1L^1T^{-1}$
$(2)$ Angular momentum $(b)$ $M^1L^2T^{-1}$
$(3)$ Linear momentum $(c)$ $M^1L^2T^{-2}$

Dimensions of the coefficient of viscosity are

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