Question

Check that the ratio ke/G mm, is dimensionless. Look up a Table
of Physical Constants and determine the value of this ratio. What
does the ratio signify?
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Answer 1

Answer:

Newton's third law:

If an object A exerts a force on object B, then object B must exert a force of equal magnitude and opposite direction back on object A. This law represents a certain symmetry in nature: forces always occur in pairs, and one body cannot exert a force on another without experiencing a force itself.

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Answer 2

Answer:

The given ratio is Gmcmpke2

Where,

G= Gravitational constant

Its unit is Nm2kg−2.

me and mp= Masses of electron and proton.

Their unit is kg.

e= Electric charge.

Its unit is C.

k=A constant

   =4π∈01

∈0= Permittivity of free space

Its unit is Nm2C−2.

 Unit of the given ratio Gmcmpke2=[Nm2kg−2][kg][kg][Nm2C2][C−2]

                                                                        =M0L0T0

Hence, the given ratio is dimensionless.

e=1.6×10−19C

G=6.67×10−11Nm2kg−2

me=9.1×106−31kg

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