# Does the length of a string depend on it's energy?

• I
• Nickyv2423
In summary, the conversation discusses the relationship between the length and energy of a string, as well as the area and energy of a d brane. It is noted that if one is a function of the other, then the inverse is also true. There is a distinction made between a function with no explicit expression and a relation that does not map arguments to values. However, the conversation concludes that this distinction is not significant in this context.
Nickyv2423
Does the length of a string depend on its energy, or does its energy depend on its length? Similarly, does the area of a d brane depend on its energy, or does its energy depend on its energy?
Are these stupid questions?

Well, if x(y) is a function of y, then y(x) is a function of x, whether you can explicitly write it down or not :P

haushofer said:
Well, if x(y) is a function of y, then y(x) is a function of x,

If the function is single valued, at least (which of course it is in the OP's question). Otherwise one gets a relation, not a function.

That's what I meant by the part you left out.

haushofer said:
That's what I meant by the part you left out.

Okay. To me there is a difference between a function that has no "explicit expression" (say the Gauss error function), and a relation which simply does not map arguments to values at all. But anyway, it's not worth arguing about this much further here.

## 1. What is the relationship between the length of a string and its energy?

The length of a string does not directly depend on its energy. However, the energy of a string can affect its length indirectly through factors such as tension and elasticity.

## 2. Can the length of a string change if its energy remains constant?

Yes, the length of a string can change even if its energy remains constant. This can happen due to external factors such as temperature, or internal factors such as wear and tear.

## 3. How does tension affect the length of a string?

Tension, or the amount of force applied to a string, can directly affect its length. When tension is increased, the string becomes shorter and vice versa.

## 4. Does the material of a string impact its length and energy?

Yes, the material of a string can impact both its length and energy. Different materials have different levels of elasticity and stiffness, which can affect how the string responds to changes in energy.

## 5. Can the length of a string affect its energy?

Yes, the length of a string can affect its energy. This is because the length of a string determines the wavelength of sound waves it produces when plucked, which in turn affects the pitch and perceived energy of the sound.

Replies
4
Views
1K
Replies
6
Views
2K
Replies
26
Views
2K
Replies
7
Views
3K
Replies
27
Views
1K
Replies
11
Views
3K
Replies
1
Views
1K
Replies
5
Views
2K
Replies
4
Views
2K
Replies
2
Views
2K