## To find the length of the string in question 1, you can use the formula:

v = fÎ»

Where:

v = wave velocity (in m/s)

f = frequency (in Hz)

Î» = wavelength (in m)

In this case, the wave velocity (v) can be calculated using the tension (T) in the string and the linear mass density of the string (Î¼) using the formula:

v = âˆš(T/Î¼)

Once you have found the wave velocity, you can use it along with the frequency to find the wavelength. Finally, you can use the wavelength to calculate the length of the string (L).

Here are the steps to find the length of the string:

1. Determine the wave velocity (v) using the given tension (T) and the linear mass density (Î¼).

- You'll need the mass of the string (m) and the acceleration due to gravity (g) to find the linear mass density using the formula: Î¼ = m/L.

- Plug in the values for mass and acceleration due to gravity to find the linear mass density (Î¼).

2. Use the wave velocity (v) and the frequency (f) to find the wavelength (Î») using the formula: v = fÎ».

- Rearrange the formula to solve for wavelength (Î»).

- Plug in the values for wave velocity and frequency to find the wavelength.

3. Calculate the length of the string (L) using the wavelength (Î»).

- Use the formula: L = Î»/2.

- Divide the wavelength by 2 to find the length of the string.

By following these steps, you should be able to find the length of the string in question 1.