The lowest note of a flute is C4 with a frequency of 262 Hz.

If one of the ends of the flute is now closed, the new lowest frequency will be ...

To find the new lowest frequency when one end of a flute is closed, we need to understand the concept of open and closed pipes. A flute is considered an open pipe when both ends are open, and it is a closed pipe when one end is closed.

In an open pipe, the lowest frequency is determined by the length of the pipe. The fundamental frequency for a pipe that is open at both ends is given by the equation:

f = v / (2L)

Where:
f = frequency of the note
v = speed of sound (approximately 343 meters per second at room temperature)
L = length of the open pipe

In the case of an open flute, the length L determines the lowest note, which is C4 with a frequency of 262 Hz.

Now, when one end of the flute is closed, the length of the pipe effectively becomes half, resulting in a new length L/2 for the closed pipe.

To find the new lowest frequency, we can now use the same equation with the new length:

f' = v / (2(L/2))

Simplifying the equation:

f' = v / L

Since the only change is the length, the new lowest frequency when one end of the flute is closed will still be determined by the original length of the flute, which corresponds to the note C4 with a frequency of 262 Hz. So, the new lowest frequency will also be 262 Hz.