Astring of length 1.3 m is oscillating in a standing wave pattern. if the tension in the string is 430 n, the string has a mass of 23 g/m, and the amplitude of the oscillations is 2.1 mm, what is the maximum speed of a point on the string when it is oscillating in the fundamental mode?

a

1.4 m/s

b

0.69 m/s

c

0.45 m/s

d

0.22 m/s

e

2.8 m/s

To solve this problem we will use the concepts related to the speed of a string which is given by the applied voltage and the linear mass density of it. With the speed value we can find the fundamental frequency that will serve as a step to find the maximum speed through the relation of Amplitude and Angular Speed. So:

Where,

T = Tension

= Linear mass density

With this value the fundamental frequency would be

Finally the maximum speed is given with the relation between the Amplitude (A) and the Angular frequency, then

Therefore the correct answer is B.

answer: the correct answer id option(d).

explanation:

snell's law refraction:

the angle of refraction =

the angle of incidence =

refractive index of air = = 1

refractive index of glycerol = 1.47

from the given options, the most closest answer to 63.72° is 65° of option (d).