A string is fixed at both ends and vibrating at 140 Hz, which is its third harmonic frequency. The linear density of the string is 4.6x10-3 kg/m, and it is under a tension of 2.3 N. Determine the length of the string.

Length of the string = 0.24 m

Explanation:

The frequency (f) of vibration of stringed instruments is related to the Tension (T) in the spring by the relation

fₙ = (n/2L)√(T/μ)

where n = 1,2,3,4...

For third harmonic frequency, n = 3

L = length of the string = ?

T = tension in the string = 2.3 N

μ = linear density = 4.6 × 10⁻³ kg/m

f = frequency = 140 Hz

L = (n/2f)√(T/μ)

L = (3/(2×140))√(2.3/0.0046) = 0.40 m

Explanation:

Below is an attachment containing the solution

r=rho l/a where a is the area, l is the length and rho is resistivity so the greater the area the lesser the resistance thats why the earth pin is thicker bcos current follow the shortest path, so less resistive .

answer a fan shaped mass of sediment deposited at the base of a mountain front do to an abrupt change in stream gradient;