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Four point charges are labeled charge 1,...

Four point charges are labeled charge 1, charge 2, charge 3, and charge 4. it is known that charge 1 attracts charge 2. charge 2 repels charge 3, and charge 3 attracts charge 4. which of the following must be true?

A

Charge 1 attracts charge 4

B

charge 2 attracts charge 3

C

charge 1 repels charge 3

D

charge 1 repel charge 4.

Text Solution

Verified by Experts

The correct Answer is:
D

We know that like charges repel and opposite charges attract. So, we can put charges 1,2,3 and 4 into two "camps." Because charge 1 attracts charge 2, these charges must be in opposite camps
`{:(1,2):}`
Next, since Charge 2 repels charge 3, charge 3 is in the same camp as charge 2
`{:(1,2),(,3):}`
And, finally, since charge 3 attracts charge 4, these charges are in opposite camps, giving us
`{:(1,2),(4,3):}`
We now see that only (D)
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