What would be the interaction force between two copper spheres, each of mass 1 g, separated by the distance 1 m,
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No. of atoms in copper sphere of 1 gm is given by :
n' = 6.023 × 1023 ×1 gm63.5 gm [As we know Avogadro No, = 6.023 × 1023 per gram mole and for copper, atomic charge = 29 and atomic mass = 63.5 ]As each copper atom contains 29 protons and 29 electrons.Therefore, total positive/ negative charge on each copper sphere is
q = ± n e = ± n' × 29 eq = ± 6.02 × 1023 × 163.5 × 29 × 1.6 × 10−19 Cq = ± 4.39 × 104 C
According to question, total electronic charge in each copper atom (Q') is different from the total nuclear charge of the copper sphere by 1 %.
Nuclear charge on each copper sphere is only due to the presence of protons. Hence,
, Q' = − 4.39 × 104 − (+ 4.39 × 104100) = −44.3 × 103 C.Hence, F = 14 π ε0 Q' × Q'r2F = 9 × 109 × ( −44.3 ×103) ×( −44.3 ×103) 1 [since, r = 1 m]So, F = 17.6 ×1018 N
n' = 6.023 × 1023 ×1 gm63.5 gm [As we know Avogadro No, = 6.023 × 1023 per gram mole and for copper, atomic charge = 29 and atomic mass = 63.5 ]As each copper atom contains 29 protons and 29 electrons.Therefore, total positive/ negative charge on each copper sphere is
q = ± n e = ± n' × 29 eq = ± 6.02 × 1023 × 163.5 × 29 × 1.6 × 10−19 Cq = ± 4.39 × 104 C
According to question, total electronic charge in each copper atom (Q') is different from the total nuclear charge of the copper sphere by 1 %.
Nuclear charge on each copper sphere is only due to the presence of protons. Hence,
, Q' = − 4.39 × 104 − (+ 4.39 × 104100) = −44.3 × 103 C.Hence, F = 14 π ε0 Q' × Q'r2F = 9 × 109 × ( −44.3 ×103) ×( −44.3 ×103) 1 [since, r = 1 m]So, F = 17.6 ×1018 N
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