A quantity f is given by f = h c ^ 5 G where c is speed of light, G...

A quantity

f

is given by

f = \sqrt{\dfrac{h{c}^{5}}{G}}

where

c

is speed of light,

G

univasal gravitational constant and

h

is the Planck’s constant. Dimension of

f

is that of:

Options

Aarea
Benergy
Cmomentum
Dvolume

Correct answer

B. energy

Step-by-step solution

$\left[hc\right] = \left[ML T{}^{- 2} 3\right]<br />\left[c\right] = \left[L{T}^{- 1}\right]<br />\left[G\right] = \left[{M}^{- 1}{L}^{3}{T}^{- 2}\right]</p><p>Substituting$ the dimensional formulas in the given formula,

\left[f\right] $= \left[M{L}^{2}{T}^{- 2}\right]$

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