1.3 Check that the ratio ke2/G memp 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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7 months ago

1.3 The units of the given equation 

ke2Gmemp is

e = Electric charge in C

k = 14π?0 in N m2C-2, where ?0 = Permittivity of free space = 8.854 *10-12 C2N-1 m-2

G = Gravitational constant = N 

m2kg-2

me=massofelectroninkg,mp=massofprotoninkg

Therefore

ke2Gmemp = Nm2C-2*[C2]Nm2kg-2kg[kg]= M0L0T0

So the given equation is dimensionless

We have the following values

e = 1.6 *10-19 C

G = 6.67  *10-11Nm2kg-2 kg

me=9.1*10-31 kg

mp=1.66*10-27

The numerical value of this ratio is given

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Physics Ncert Solutions Class 12th 2023

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