The three pairs of metal same-size spheres have different charges on their surfaces, as indicated. Each pair is brought together, allowed to touch, and then separated. Rank from greatest to least the total amount of charge on the pairs of spheres after separation.
A) +6 +2
B) +6 -2
C) +6 0

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Answer:

A≥C>B

Explanation:

The total charge on the spheres depends on the pair attached. considering pair (A), the pair of +6 and +2 will produce a net charge +8 on pair A. Pair (B) has one positive and negative sphere of + 6 charge and other having -2 charge when brought near the net charge becomes +4. Pair C has a sphere having +6 charge and other is neutral i.e 0 charge when brought near the net charge on the pair becomes +6. In terms of ranking, pair A is the highest while pair B is the lowest.

The Rank from greatest to least the total amount of charge on the pairs of spheres after separation will be [tex]Q_A\rightarrow Q_C \rightarrow Q_B[/tex].

Explanation:

Here as given to us in the question

'each pair is brought together, allowed to touch, and then separated'

which means charge by sharing.

for charge by sharing(Q),

[tex]Q=\dfrac{Q_1+Q_2}{2}[/tex]

Therefore, the total charge with each pair is

Pair A,

[tex]Q_A=\dfrac{+6+(+2)}{2}\\\\Q_A=4[/tex]

Pair B,

[tex]Q_B=\dfrac{+6+(-2)}{2}\\\\Q_B=2[/tex]

Pair C,

[tex]Q_C=\dfrac{+6+(0)}{2}\\\\Q_C=3[/tex]

Hence, the Rank from greatest to least the total amount of charge on the pairs of spheres after separation will be [tex]Q_A\rightarrow Q_C \rightarrow Q_B[/tex].

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