QUESTION IMAGE
Question
the table below shows four pairs of atoms and the electric charge of each atom. the atoms in each pair are located the same distance from each other.
| pair | atom a | atom b |
|---|---|---|
| x | -5 | -5 |
| y | +4 | +3 |
| z | -4 | -5 |
which pair of atoms is experiencing the strongest electric force?
a. pair y
b. pair w
c. pair x
d. pair z
Step1: Recall Coulomb's law
The electric force between two charges $q_1$ and $q_2$ separated by a distance $r$ is given by $F = k\frac{|q_1q_2|}{r^2}$, where $k$ is a constant and $r$ is the same for all pairs. So we only need to consider the product of the magnitudes of the charges $|q_1q_2|$.
Step2: Calculate product for Pair W
For Pair W with $q_1 = 4$ and $q_2=6$, $|q_1q_2|=|4\times6| = 24$.
Step3: Calculate product for Pair X
For Pair X with $q_1=- 5$ and $q_2 = - 5$, $|q_1q_2|=|(-5)\times(-5)|=25$.
Step4: Calculate product for Pair Y
For Pair Y with $q_1 = 4$ and $q_2 = 3$, $|q_1q_2|=|4\times3| = 12$.
Step5: Calculate product for Pair Z
For Pair Z with $q_1=-4$ and $q_2=-5$, $|q_1q_2|=|(-4)\times(-5)| = 20$.
Step6: Compare the products
Since $25>24>20>12$, Pair X has the largest product of charge - magnitudes.
Snap & solve any problem in the app
Get step-by-step solutions on Sovi AI
Photo-based solutions with guided steps
Explore more problems and detailed explanations
C. Pair X