1.) A violin string vibrates at 440 Hz when unfingered. At what frequency will i

Question

1.) A violin string vibrates at 440 Hz when unfingered. At what frequency will it vibrate if it is fingered one fourth of the way down from the end?

_____Hz

2.) When you slosh the water back and forth in a tub at just the right frequency, the water alternately rises and falls at each end, remaining relatively calm at the center. Suppose the frequency to produce such a standing wave in a 65 cm wide tub is 0.80 Hz. What is the speed of the water wave?

___ m/s

3.) You have three tuning forks, A, B, and C. Fork B has a frequency of 421 Hz; when A and B are sounded together, a beat frequency of 3 Hz is heard. When B and C are sounded together, the beat frequency is 7 Hz. What are the possible frequencies of A?

What are the possible frequencies of fork C?

What beat frequencies are possible when A and C are sounded together?

upper frequency  ____  Hz

Explanation / Answer

1.3/4 *440 =330 HZ

2. V =lamda*f

lamda =2L =2*65 =130 cm =1.3 m/s

V =1.3* .8 =1.04 m/s

3.for A upper =421 Hz

llower =421-3 =418 Hz

for C

upper =428 Hz

lower =414 Hz

A nd c together

Lower =414-10 =404 Hz

upper =428+10 =438 Hz

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