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Q.

The ratio of electrostatic and gravitational forces acting between electron and proton separated by a distance 5×10−11 m, will be (Charge on electron = 1.6×10−19C, mass of electron = 9.1×10−31kg, mass of proton = 1.6×10−27kg, G=6.7×10−11Nm2/kg2

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a

2.36×1039

b

2.36×1040

c

2.34×1041

d

2.34×1042

answer is A.

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Detailed Solution

Gravitational force FG=Gmempr2FG=6.7×10−11×9.1×10−31×1.6×10−275×10−112=3.9×10−47NElectrostatic force Fe=14πε0e2r2Fe=9×109×1.6×10−19×1.6×10−195×10−112=9.22×10−8NSo, FeFG=9.22×10−83.9×10−47=2.36×1039
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