# Q 1.3: Check that the ratio is dimensionless. Look up a Table of Physical Constants and determine the value of this ratio. What does the ratio signify?

Electrostatic force So the dimension of ..................(1)

The gravitational force between two bodies of mass M and m is so dimension of .............(2)

Therefor from (1) and (2) is dimensionless

or

Here,

K = , where is the permittivity of space. e = Electric charge ([e] = [C])

G = Gravitational constant. ([G]= ) and are mass of electron and proton ([ ] = [ ]  = [Kg])

Substituting these units, we get Hence, this ratio is Dimensionless.

Putting the value of the constants  The given ratio is the ratio of electric force to the gravitational force between an electron and a proton considering the distance between them is constant!

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