The number of possible natural oscillations of an air column in a pipe closed at one end of length $85$ cm whose frequencies lie below $1250$ Hz are (velocity of sound $= 340$ m/s)

A speeding motorcyclist sees traffic jam ahead of him. He slows down to $36$ km/h. He finds that traffic has eased and a car moving ahead of him at $18$ km/h is honking at a frequency of $1392$ Hz. If the speed of sound is $343$ m/s, the frequency of the horn as heard by him will be

The fundamental frequency of a closed organ pipe of length 20 cm is equal to the second overtone of an organ pipe open at both the ends. The length of organ pipe open at both the ends is

A siren emitting a sound of frequency 800 Hz moves away from an observer towards a cliff at a speed of $15 ms^{-1}.$Then, the frequency of sound that the observer hears in the echo reflected from the cliff is (Take velocity of sound in air = 330$ms^{-1}$)

An air column, closed at one end and open at the other, resonates with a tuning fork when the smallest length of the column is 50 cm. The next larger length of the column resonating with the same tuning fork is

A uniform rope of length $L$ and mass $m_1$ hangs vertically from a rigid support. A block of mass $m_2$ is attached to the free end of the rope. A transverse pulse of wavelength $\lambda_1$ is produced at the lower end of the rope. The wavelength of the pulse when it reaches the top of the rope is $\lambda_2.$ The ratio $\frac{\lambda_2}{\lambda_1}$ is

The two nearest harmonics of a tube closed at one end and open at other end are 220 Hz and 260 Hz. What is the fundamental frequency of the system?

The fundamental frequency in an open organ pipe is equal to the third harmonic of a closed organ pipe. If the length of the closed organ pipe is $20$ cm, the length of the open organ pipe is

A tuning fork is used to produce resonance in a glass tube. The length of the air column in this tube can be adjusted by a variable piston. At room temperature of $27^{\circ}C$, two successive resonances are produced at $20$ cm and $73$ cm$$ of column length. If the frequency of the tuning fork is $320$ Hz, the velocity of sound in air at $27^{\circ}C$ is

In a guitar, two strings A and B made of the same material are slightly out of tune and produce beats of frequency $6$ Hz. When tension in B is slightly decreased, the beat frequency increases to $7$ Hz. If the frequency of A is $530$ Hz, the original frequency of B will be:

If the initial tension on a stretched string is doubled, then the ratio of the initial and final speeds of a transverse wave along the string is:

The ratio of frequencies of fundamental harmonic produced by an open pipe to that of a closed pipe having the same length is: