If the speed of light \(\left(c\right)\) , acceleration due to gravity \(\left(g\right)\) and pressure \(\left(p\right)\) are taken as the fundamental quantities, then the dimension of gravitational constant is
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Let [G] \propto c^{x} g^{y} p^{z}
by substituting the following dimensions :
\(\left[\mathbf{G}\right] = \left[M^{-1} L^{3} T^{-2}\right], \left[c\right] = \left[L T^{-1}\right], \left[g\right] = \left[L T^{-2}\right]\)
\(\left[p\right] = \left[M L^{-1} T^{-2}\right]\)
and by comparing the powers of both sides
we can get x = 0, y = 2, z = -1
\(\left[G\right] \propto c^{0} g^{2} p^{-1}\)
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