Answer:
water heights of the tube are 0.851 m , 0.553 m, 0.255 m
Explanation:
given data
frequency = 580 Hz
temperature = 20°C
tube = 1 m
to find out
water heights of the tube
solution
we will apply here formula for length that is
length L = v ( 2n -1 ) / 4f
here v is velocity o sound that is 343.2 m/s
so for n = 1
L = 343.2 ( 2(1) -1 ) / 4(580) = 0.147931 m
for n = 2
L = 343.2 ( 2(2) -1 ) / 4(580) = 0.443793 m
for n = 3
L = 343.2 ( 2(3) -1 ) / 4(580) = 0.739655 m
for n = 4
L = 343.2 ( 2(4) -1 ) / 4(580) = 1.035517 m is greater than 1
and so here height is measured less than 1 m
so water heights of the tube are 1 m - 0.147931 m , 1 m - 0.443793 m, 1 m - 0.739655 m
so water heights of the tube are 0.851 m , 0.553 m, 0.255 m
