Answer :

opudodennis

Answer:

[tex]3.125 X 10^{10}[/tex]

Explanation:

Net charge= -15.0 nC- -10.0 nC=-5nC

[tex]\frac {-5 X 10^{-9}}{ -1.6 X 10^{-19}} = 3.125 X 10^{10}[/tex] electrons were transferred

pristina

The charged plastic rod transfers [tex]3.125 \times 10^{10}[/tex] electrons to the uncharged metal sphere and makes the sphere negatively charged.

  • Initially, the plastic rod is negatively charged and the metal sphere is neutral.
  • The rod loses charge when it comes in contact with the metal sphere. This charge is transferred to the metal sphere and hence the sphere gains charge.
  • Net charge lost by the rod = Net charge gained by the sphere
  • Initial charge of the plastic rod = [tex]-15.0\, nC = -15 \times 10^{-9}\,C[/tex].
  • Final charge of the plastic rod = [tex]-10.0\, nC = -10 \times 10^{-9}\,C[/tex].
  • Therefore, the net loss in charge = [tex]-15 \times 10^{-9}\,C-(-10 \times 10^{-9}\,C) = -5 \times 10^{-9}\,C[/tex].

  • Since there is a loss of negative charge we can say that the charged particles transferred here are electrons.

  • Charge of one electron = [tex]-1.6 \times 10^{-19}\,C[/tex].
  • So, the number of electrons transferred = [tex]\frac{-5 \times 10^{-9}\,C}{-1.6 \times 10^{-19}\,C} = 3.125 \times 10^{10}[/tex].

Learn more about the transfer of charged particles here. https://brainly.com/question/13259712

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