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A plastic rod that has been charged to − 15 nC touches a metal sphere. Afterward, the rod's charge is − 5.0 nC.
1) What kind of charged particle was transferred between the rod and the sphere, and in which direction?
A) electrons transferred from rod to sphere.
B) electrons transferred from sphere to rod.
C) protons transferred from rod to sphere.
D) protons transferred from sphere to rod.
2) How many charged particles were transferred?

Respuesta :

Answer:

B) electrons transferred from sphere to rod.

(2) 1.248 x 10¹¹ electrons were transferred

Explanation:

Given;

initial charge on the plastic rod, q₁ = 15nC

final charge on the plastic rod, q₂ = - 5nC

let the charge acquired by the plastic rod = q

q + 15nC = -5nC

q = -5nC - 15nC

q = -20 nC

Thus, the plastic rod acquired excess negative charge from the metal sphere.

Hence, electrons transferred from sphere to rod

B) electrons transferred from sphere to rod.

2) How many charged particles were transferred?

1.602 x 10⁻¹⁹ C = 1 electron

20 x 10⁻⁹ C = ?

= 1.248 x 10¹¹ electrons

Thus,1.248 x 10¹¹ electrons were transferred

1. Electrons transferred from sphere to rod.

Option B is correct.

2. There are [tex]6.24*10^{10}[/tex] electrons transferred from sphere to rod.

Given that initial charge on the plastic rod, q₁ = 15nC

final charge on the plastic rod, q₂ = - 5nC

let us consider that the charge absorbed by the plastic rod  is  q

[tex]q - 15nC = -5nC\\q = -5nC +15nC\\q = -10 nC[/tex]

Thus, the plastic rod acquired excess negative charge from the metal sphere.

Therefore, electrons transferred from sphere to rod

The charge on one electron is, 1.602 x 10⁻¹⁹ C .

Number of electrons, [tex]n=\frac{10*10^{-9} }{1.602*10^{-19} }= 6.24*10^{10}[/tex]

Thus,[tex]6.24*10^{10}[/tex] electrons were transferred.

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