Question

The ratio of electric force to the gravitational force between two protons separated by a finite distance is of the order of:


A
1019
B
10+19
C
1036
D
10+36
Solution
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Gravitational force =G(mp)2r2
Electric force =K(e)(e)r2
Ratio =K(1.6×1019)2r2×r2G×(1.6 7×1027)2
=(9×109)×(1.6×1019)2(6.6 7×1011)(1.6 7×1027)2
=1.23×1020×1016
=1036(order of magnitude)

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