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Question

Physics Question on coulombs law

Two copper balls, each weighing 10 g , are kept in air 10 cm apart. If one electron from every 10610^6 atoms is transferred from one ball to the other, the coulomb force between them is (atomic weight of copper is 63.5)

A

2.0×1010N 2.0 \times 10^{ 10} \, N

B

2.0×104N 2.0 \times 10^4 \, N

C

2.0×108N 2.0 \times 10^8 \, N

D

2.0×106N 2.0 \times 10^6 \, N

Answer

2.0×108N 2.0 \times 10^8 \, N

Explanation

Solution

Number of electrons, n = 6×102363.5×10×1106=6×101863.5\frac{ 6 \times 10^{ 23}}{ 63.5} \times 10 \times \frac{ 1}{ 10^6 } = \frac{ 6 \times 10^{ 18 }}{ 63.5 } q = 6×1018×1.6×101963.5\frac{ 6 \times 10^{ 18 } \times 1.6 \times 10^{ - 19 }}{ 63.5 } C or q = 1.5×1021.5 \times 10^{ - 2} C F = 9×109×1.5×102×1.5×102(10100)N\frac{ 9 \times 10^9 \times 1.5 \times 10^{ - 2} \times 1.5 \times 10^{ - 2}}{ \bigg( \frac{ 10 }{ 100 } \bigg) } N = 2.0×108N 2.0 \times 10^8 \, N