Two electrons each are fixed at a distance . A third charge proton placed at the midpoint is displaced slightly by a distance perpendicular to the line joining the two fixed charges. Proton will execute simple harmonic motion having angular frequency:
The explanation for the correct option:
A:
Step 1: Given data
Distance between electrons
Step 2: Formula used
The restoring force can be computed using the following formula:
Step 3: Compute the restoring force on the proton.
Consider the following figure:
From the figure, it is clear that . So,
If is very very greater than then ,
Step 4: Compute the angular frequency
Substitute the known values in the formula ,
Hence, option A is the correct answer.