Two identical strings, A and B, have nearly the samtension. When they both vibrate in their fundamental resonantmodes, ther is a beat of 3Hz. When string B is tightenedslightly, to increase the tension, the beat frequency becomes 6 Hz. This means.
A)that before and after tightening B has a higher frequencythan that of AB)That before and after tightening A has a higher frequencythan B. C)that before tightening B had a higher frequency than A, butafter tightening, A has a higher frequency than B. d) that before tightening A had a higher frequecy than B, butafter tightening. B has a higher frequency than A. E) none of the above.

A. Before and after tightening B has a higher frequency than that of A

Explanation:

Since, the beat frequency is 3 Hz before tightening. Therefore, the difference between the frequencies of strings, A and B is 3 Hz. As, we tighten the string B, its tension increases. From the following relation it is clear that the increase in tension increases the fundamental frequency.

f₁ = (1/2L)√[T/μ]

where,

f₁ = fundamental frequency

L = length of string

T = Tension in string

μ = linear mass density of string

Therefore, frequency of B increases slightly. And the beat frequency or the difference between frequencies of A and B, becomes 6 Hz.

Now, there can be two cases, which are:

Either, the frequency of B was 3 Hz less than frequency of A earlier and after tightening frequency of B became 6 Hz greater than frequency of A.

Or, the frequency of B was 3 Hz greater than the frequency of A, and after tightening it became 6 Hz greater than frequency of A.

The second option seems more reasonable because it requires 3 Hz of increase in frequency of B, while the first option requires increase of 9 Hz in frequency of B. Since, the there is slight tightening. Therefore, the frequency will also increase by a slight value. Thus, the correct option is:

A. Before and after tightening B has a higher frequency than that of A

it doesn't. it was imagined up in the middle ages.

i just did an experiment like this in my science class. also the answer is yes, it will get separated because they are two opposites meaning if they are opposite they can not attract.

hope this .!