The lowest frequency in the audible range is 20 hz. a)what is the length of the shortest open-open tube needed to produce this frequency? b)what is the length of the shortest open-closed tube needed to produce this frequency?

a) 8.58 m

For an open-open tube, the fundamental frequency is given by

where

f is the fundamental frequency (the lowest frequency)

v is the speed of sound

L is the length of the tube

In this problem, we have

f = 20 Hz

v = 343 m/s (speed of sound in air)

Solving the equation for L, we find the shortest length of the tube:

(b) 4.29 m

For an open-closed tube, the fundamental frequency is instead given by

Where in this problem, we have

f = 20 Hz

v = 343 m/s (speed of sound in air)

Solving the equation for L, we find the shortest length of the tube:

your answer is, orbit around the nucleus

answer: the metamorphic rocks are formed when they are exposed to high pressure and high temperatures. this happens when one of the earth's plates comes in contact with the other plate by traveling in opposite directions, straight into each other or slipping under one another. the friction that is caused by this activity results in   melting of rocks and when it cools they are known as metamorphic rocks. this process needs a controlled amount of pressure and temperature otherwise it may turn into magma.