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Class 12 Tuition > Learn Exercise 1 > Check that the ratio ke2/G mempis dimensionless. Look...
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Check that the ratio ke2/G mempis dimensionless. Look up a Table of Physical Constants and determine the value of this ratio. What does the ratio signify?

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The given ratio is . Where, G = Gravitational constant Its unit is N m2 kg−2. me and mp = Masses of electron and proton. Their unit is kg. e = Electric charge. Its unit is C. ∈0 = Permittivity of free space Its unit is N m2 C−2. Hence, the given ratio is dimensionless. e = 1.6 ×...
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The given ratio is . Where, G = Gravitational constant Its unit is N m2 kg−2. me and mp = Masses of electron and proton. Their unit is kg. e = Electric charge. Its unit is C. ∈0 = Permittivity of free space Its unit is N m2 C−2. Hence, the given ratio is dimensionless. e = 1.6 × 10−19 C G = 6.67 × 10−11 N m2 kg-2 me= 9.1 × 10−31 kg mp = 1.66 × 10−27 kg Hence, the numerical value of the given ratio is This is the ratio of electric force to the gravitational force between a proton and an electron, keeping distance between them constant. read less
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