Consider a string with a length of (47.5 a) cm tied at both end (like on a stringed instrument). if the frequency of the first harmonic on the string is (245 b) hz, determine the speed of the wave in the string. post your answer in m/s and with 3 significant figures.

To solve this problem it is necessary to apply the concepts related to wavelength as a function of frequency and speed, as well as to determine the wavelength as a function of length.

From the harmonic vibration generated we know that the total length of the string will be equivalent to a half of the wavelength, that is

Where,

Wavelength

Therefore the wavelength for us would be,

From the relationship of speed, frequency and wavelength we know that

Therefore the speed of the wave is 232.75m/s

when jerome paddle in flowing river towards east the net speed of jerome will increase

so the net speed of jerome will be given as

now the speed of paul will be same as it is given as he is running on the ground

so

so here we can say since the speed of jerome is more so he will win the race

now as we know the distance so the time difference is given as

so jerome will reach first and the time difference will be 203.55 s or 3.4 min