8. A piano tuner simultaneously strikes a 262 Hz tuning fork and the middle C key on a piano and hears beats with a beat period of 0.500 s. What are

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8. A piano tuner simultaneously strikes a 262 Hz
tuning fork and the middle C key on a piano and
hears beats with a beat period of 0.500 s. What are
Transcribed Image Text:8. A piano tuner simultaneously strikes a 262 Hz tuning fork and the middle C key on a piano and hears beats with a beat period of 0.500 s. What are
Expert Solution
Step 1

8)

Given:

Frequency of the tuning fork is f1 =262 Hz

Period of beat is T=0.500 sec

So frequency of beat is given by,

Advanced Physics homework question answer, step 1, image 1

fB=2 Hz

Step 2

Using beat frequency formula,

fB=f1-f2

2=262-f2

f2=262-2

f2=260 Hz

Thus the possible frequency of the piano key is 260 Hz.

Step 3

9)

Given: Length of pipe is L=0.8m

For pipe closed at one end,

Advanced Physics homework question answer, step 3, image 1

λ=0.6m

So distance between node and adjacent anti-nodes is given by,

Advanced Physics homework question answer, step 3, image 2

x=0.15m or x=0.2 m

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