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1.

A closed pipe 28 cm long is filled with a gas and is in resonance with a tuning fork. If a 42 cm long open pipe filled with air is in unison with the same fork, find the velocity of sound in the gas. (Velocity of sound in air at the temperature `= 350 ms^(-1)`)

Answer» Correct Answer - `466.7 ms^(-1)`
2.

An organ pipe 17 cm long open at one end radiates a tone of frequency 1.5 kHZ at temperature `16^(@)C`. What harmonic is this ? What is the fundamental frequency of these oscillations velocity of sound at `NTP = 330 m//s`.

Answer» Correct Answer - Thrid harmonic
3.

The first overtone of an open pipe and the fundamental tone of a closed pipe give 5 beats pe second when sounded together. If the length of the closed pipe is 25 cm, what are the possible length of the open pipe ? (Velocity of sound in air is `340 ms^(-1)`)

Answer» Correct Answer - `98.5 xx 10^(-2) m`
4.

Two organ pipe give 5 beta per second when sounded together in air at a temperature `20^(@)C`. How many beats would be produced by

Answer» Correct Answer - 5.168
5.

Two organ pipes, open at both ends, are sounded together and six beats per second are produced. The length of the shorter pipe is 60 cm. Find the length of the other. ltVeocity of sound in air `= 330 ms^(-1)`)

Answer» Correct Answer - 61.34 cm
6.

The frequency of an organ pipe at `40^(@)C` is 256 Hz. What will be its frequency at `20^(@)C` ?

Answer» Correct Answer - 247.3 Hz
7.

A long horzontal pipe is fitted with a piston of mass 10 kg which is connected to another mass 10.5 kg by a string passing over a frictionless pulley. A source of sound of frequency 512 Hz is placed in front of the piston. Initially the piston is almost in touch with the source and it moves away form the source when the hanging mass is released. Find the time/s when maximum sound is heard. Assume the string horizontal between pulley and piston. There is no friction. Velocity of sound `= 340 m//s`

Answer» Correct Answer - 0.83 s, 1.44 s, 1.85 s
8.

Two open organ pipes `100` and 101 cm long give 17 beats in 10 seconds when each is sounding its fundamental. Calculate the frequencies of the fundamental and the velocity of sound in air.

Answer» Correct Answer - `121.7 Hz, 170 Hz, 343.4 ms^(-1)`
9.

Find the number of possible natural frequencies of an air column in a pipe whose frequencies lie below 1250 Hz. The length of the pipe is 85 cm. The speed of sound is `340 ms^(-1)`. Consider the two cases: (a) the pipe is closed at one end and (b) the pipe is open at both ends.

Answer» Correct Answer - (a) 6, (b) 6
10.

A tuning fork of frequency 270 resonates with an air column of length 31.2 cm. When the tube is rasied it resonates again when the length is 96.3 cm. Calcuate the velocity of sound in moist air in the tube. Reduce this velocity to STP if the pressure and temperature at the time of the experiment are 0.7 m of Hg and `30^(@)C`, respectively. Saturated vapour pressure at `30^(@)C = 32 mm` o fmercury. `["Hint "C_(n) = 2n (l_(2) - l_(1)) " and " C_(m) = C_(d) sqrt(((P)/(P - 0.385 f))) " and " (C)/(C_(0)) = sqrt((T)/(T_(0)))]`

Answer» Correct Answer - `C_(m) = 351.6 ms^(-1), C_(d) " at STP " = 330.6 ms^(-1)`
11.

A tuning fork of frequency `340 Hz` is excited and held above a cylindrical tube of length `120 cm`. It is slowly filled with water. The minimum height of water column required for resonance to be first heard( Velocity of sound `=340 ms^-1`) is.

Answer» Correct Answer - 0.25 m and 0.75 m