Respuesta :
Answer:
For open end the length of pipe is 0.347 meter.
The length of pipe for closed end is 0.521 meter.
Explanation:
Given
fundamental frequency = f 1 = 493.9 Hz
Velocity of sound= v = 343 m/s
1. For open end pipe the formula for frequency = (n×v)/2×l
v stands for velocity
n represent number of harmonics or resonance
l stands for length of the pipe
f 1 = (n×v)/(2×l)
we want to find out the length of open end pipe so
f 1 × 2×l = n×v
l = (n×v)/(2×f 1)
l = (1×343)/(2×493.9)
l = 343/987.8
l = 0.347 m
For open end the length of pipe is 0.347 meter.
Part B
For close end pipe the formula for frequency = f = (n×v)/(4×l)
f = (n×v)/(4×l)
we want to find the length of closed pipe
f × 4×l = n×v
l = (n×v)/(4×f )
n=3 for third resonance
frequency will be same as fundamental frequency=f 1=f 3 = 493.9 Hz (given)
v= 343 m/s
l = (n×v)/(4×f )
Now put the values in above equation
l = (3×343)/(4×493.9)
l = 1029/1975.6
l = 0.521 m
The length of pipe for closed end is 0.521 meter
