Anylon guitar string is fixed between two lab posts 2.25 m apart. the string has a linear mass density of μ = 6.60 g/m and is placed under a tension of 170.00 n. the string is placed next to a tube, open at both ends, of length l. the string is plucked and the tube resonates at the n = 3 mode. the speed of sound is 343 m/s. what is the length of the tube?

14.4259 m

Explanation:

F = Force on string = 170 N

= Linear density = 6.6 g/m

L = Length of string = 2.25 m

n = Mode = 3

= Length of tube

v = Speed of sound in air = 343 m/s

Speed of wave is given by

Frequency of wave of the string is given by

Frequency of wave of the tube is given by

The length of the tube is 14.4259 m

54 degrees incident angle = reflected angle

angle is from normal turned to line of ray