Prove that a pipe open at both end of length of `2L` , has same fundamental frequency as another pipe of closed at one end of length L.

Assertion: An open organ pipe of certain length has the same fundamental frequency as closed organ pipe of half the length. Reason : In case of an open organ organ pipe, at both the ends antinodes are formed while in case of closed organ pipe, at one end antinode and at the other end node is formed.

Show that the fundamental frequency of vibrations of the air column in a tube open at both is equal to double the fundamental frequency in a tube of the same length and closed at one end.

A pipe open at both the ends has a fundamental frequency of 600 Hz . The first overtone of a pipe closed at one end has the same frequency as the first overtone of the open pipe. How long are the two pipes ?

The third overtone of an open organ pipe of length l_(0) has the same frequency as the third overtone of a closed pipe of length l_(c) . The ratio l_(0)//l_(c) is equal to

A pipe open at both ends gives frequencies which are

The frequency of the third overtone of a closed pipe of length Lc is the same as the frequency of the sixth overtone of an open pipe of the length L_o. Then:

The length of pipe closed at one end and open at both ends is 32 cm each. The frequency of first overtone in a pipe closed at one end is 750 Hz . Calculate the frequency of first overtone in a pipe open at both ends.

A pipe open at both ends has a fundamental frequency f in air. The pipe is dippoed vertically in water so that half of it is in water. The fundamental frequency of the air column is now :-

The lengths of an open organ pipe is twice the length of another closed organ pipe. The fundamental frequency of the open pipe is 100 Hz. The freqeuncy of the third harmonic of the closed pipe is