
question_answer1) The length of two open organ pipes are l and \[(l+\Delta l)\] respectively. Neglecting end correction, the frequency of beats between them will be approximately [MP PET 1994; BHU 1995]
A) \[\frac{v}{2l}\] done
clear
B) \[\frac{v}{4l}\] done
clear
C) \[\frac{v\Delta l}{2{{l}^{2}}}\] done
clear
D) \[\frac{v\Delta l}{l}\] (Here v is the speed of sound) done
clear
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question_answer2) A tube closed at one end and containing air is excited. It produces the fundamental note of frequency 512 Hz. If the same tube is open at both the ends the fundamental frequency that can be produced is [RPET 1999]
A) 1024 Hz done
clear
B) 512 Hz done
clear
C) 256 Hz done
clear
D) 128 Hz done
clear
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question_answer3) A closed pipe and an open pipe have their first overtones identical in frequency. Their lengths are in the ratio [Roorkee 1999]
A) 1 : 2 done
clear
B) 2 : 3 done
clear
C) 3 : 4 done
clear
D) 4 : 5 done
clear
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question_answer4) The first overtone in a closed pipe has a frequency [JIPMER 1999]
A) Same as the fundamental frequency of an open tube of same length done
clear
B) Twice the fundamental frequency of an open tube of same length done
clear
C) Same as that of the first overtone of an open tube of same length done
clear
D) None of the above done
clear
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question_answer5) An empty vessel is partially filled with water, then the frequency of vibration of air column in the vessel [KCET 2000]
A) Remains same done
clear
B) Decreases done
clear
C) Increases done
clear
D) First increases then decreases done
clear
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question_answer6) It is desired to increase the fundamental resonance frequency in a tube which is closed at one end. This can be achieved by [Roorkee 2000]
A) Replacing the air in the tube by hydrogen gas done
clear
B) Increasing the length of the tube done
clear
C) Decreasing the length of the tube done
clear
D) Opening the closed end of the tube done
clear
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question_answer7) An air column in a pipe, which is closed at one end, will be in resonance with a vibrating body of frequency 166 Hz, if the length of the air column is [UPSEAT 2001]
A) 2.00 m done
clear
B) 1.50 m done
clear
C) 1.00 m done
clear
D) 0.50 m done
clear
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question_answer8) If the velocity of sound in air is 350 m/s. Then the fundamental frequency of an open organ pipe of length 50 cm, will be [CPMT 1997; MH CET 2001; Pb. PMT 2001]
A) 350 Hz done
clear
B) 175 Hz done
clear
C) 900 Hz done
clear
D) 750 Hz done
clear
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question_answer9) If the length of a closed organ pipe is 1m and velocity of sound is 330 m/s, then the frequency for the second note is [AFMC 2001]
A) \[4\times \frac{330}{4}Hz\] done
clear
B) \[3\times \frac{330}{4}Hz\] done
clear
C) \[2\times \frac{330}{4}Hz\] done
clear
D) \[2\times \frac{4}{330}Hz\] done
clear
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question_answer10) The fundamental note produced by a closed organ pipe is of frequency \[f.\] The fundamental note produced by an open organ pipe of same length will be of frequency [BHU 2001]
A) \[\frac{f}{2}\] done
clear
B) \[f\] done
clear
C) \[2f\] done
clear
D) \[4f\] done
clear
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question_answer11) If the velocity of sound in air is 336 m/s. The maximum length of a closed pipe that would produce a just audible sound will be [KCET 2001]
A) 3.2 cm done
clear
B) 4.2 m done
clear
C) 4.2 cm done
clear
D) 3.2 m done
clear
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question_answer12) An organ pipe \[{{P}_{1}}\] closed at one end vibrating in its first overtone and another pipe \[{{P}_{2}}\] open at both ends vibrating in its third overtone are in resonance with a given tuning fork. The ratio of lengths of \[{{P}_{1}}\] and \[{{P}_{2}}\] is [EAMCET 1997; MH CET 1999; AFMC 2001]
A) 1 : 2 done
clear
B) 1 : 3 done
clear
C) 3 : 8 done
clear
D) 3 : 4 done
clear
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question_answer13) A resonance air column of length 20 cm resonates with a tuning fork of frequency 250 Hz. The speed of sound in air is [AFMC 1999; BHU 2000; CPMT 2001]
A) 300 m/s done
clear
B) 200 m/s done
clear
C) 150 m/s done
clear
D) 75 m/s done
clear
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question_answer14) A cylindrical tube, open at both ends, has a fundamental frequency \[{{f}_{0}}\] in air. The tube is dipped vertically into water such that half of its length is inside water. The fundamental frequency of the air column now is [RPET 1999; RPMT 1998, 2000; J & K CET 2000; KCET 2002; BHU 2002; BCECE 2003]
A) \[3{{f}_{0}}/4\] done
clear
B) \[{{f}_{0}}\] done
clear
C) \[{{f}_{0}}/2\] done
clear
D) \[2{{f}_{0}}\] done
clear
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question_answer15) If the length of a closed organ pipe is 1.5 m and velocity of sound is 330 m/s, then the frequency for the second note is [CBSE PMT 2002]
A) 220 Hz done
clear
B) 165 Hz done
clear
C) 110 Hz done
clear
D) 55 Hz done
clear
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question_answer16) A pipe 30 cm long is open at both ends. Which harmonic mode of the pipe is resonantly excited by a 1.1 kHz source? (Take speed of sound in air = 330 ms?1) [AMU 2002]
A) First done
clear
B) Second done
clear
C) Third done
clear
D) Fourth done
clear
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question_answer17) Two closed organ pipes, when sounded simultaneously gave 4 beats per sec. If longer pipe has a length of 1m. Then length of shorter pipe will be, (v = 300 m/s) [Pb. PMT 2002]
A) 185.5 cm done
clear
B) 94.9 cm done
clear
C) 90 cm done
clear
D) 80 cm done
clear
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question_answer18) A source of sound placed at the open end of a resonance column sends an acoustic wave of pressure amplitude \[{{\rho }_{0}}\] inside the tube. If the atmospheric pressure is \[{{\rho }_{A}},\] then the ratio of maximum and minimum pressure at the closed end of the tube will be [UPSEAT 2002]
A) \[\frac{({{\rho }_{A}}+{{\rho }_{0}})}{({{\rho }_{A}}{{\rho }_{0}})}\] done
clear
B) \[\frac{({{\rho }_{A}}+2{{\rho }_{0}})}{({{\rho }_{A}}2{{\rho }_{0}})}\] done
clear
C) \[\frac{{{\rho }_{A}}}{{{\rho }_{A}}}\] done
clear
D) \[\frac{\left( {{\rho }_{A}}+\frac{1}{2}{{\rho }_{0}} \right)}{\left( {{\rho }_{A}}\frac{1}{2}{{\rho }_{0}} \right)}\] done
clear
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question_answer19) Two closed pipe produce 10 beats per second when emitting their fundamental nodes. If their length are in ratio of 25 : 26. Then their fundamental frequency in Hz, are [MH CET 2002]
A) 270, 280 done
clear
B) 260, 270 done
clear
C) 260, 250 done
clear
D) 260, 280 done
clear
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question_answer20) A closed organ pipe and an open organ pipe are tuned to the same fundamental frequency. What is the ratio of lengths [BHU 2003; Kerala 2005]
A) 1 : 2 done
clear
B) 2 : 1 done
clear
C) 2 : 3 done
clear
D) 4 : 3 done
clear
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question_answer21) An open pipe resonates with a tuning fork of frequency 500 Hz. it is observed that two successive nodes are formed at distances 16 and 46 cm from the open end. The speed of sound in air in the pipe is [Orissa JEE 2003]
A) 230 m/s done
clear
B) 300 m/s done
clear
C) 320 m/s done
clear
D) 360 m/s done
clear
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question_answer22) Find the fundamental frequency of a closed pipe, if the length of the air column is 42 m. (speed of sound in air = 332 m/sec) [RPET 2003]
A) 2 Hz done
clear
B) 4 Hz done
clear
C) 7 Hz done
clear
D) 9 Hz done
clear
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question_answer23) If v is the speed of sound in air then the shortest length of the closed pipe which resonates to a frequency n [KCET 2003]
A) \[\frac{v}{4n}\] done
clear
B) \[\frac{v}{2n}\] done
clear
C) \[\frac{2n}{v}\] done
clear
D) \[\frac{4n}{v}\] done
clear
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question_answer24) The frequency of fundamental tone in an open organ pipe of length 0.48 m is 320 Hz. Speed of sound is 320 m/sec. Frequency of fundamental tone in closed organ pipe will be [MP PMT 2003]
A) 153.8 Hz done
clear
B) 160.0 Hz done
clear
C) 320.0 Hz done
clear
D) 143.2 Hz done
clear
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question_answer25) If fundamental frequency of closed pipe is 50 Hz then frequency of 2nd overtone is [AFMC 2004]
A) 100 Hz done
clear
B) 50 Hz done
clear
C) 250 Hz done
clear
D) 150 Hz done
clear
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question_answer26) Two open organ pipes of length 25 cm and 25.5 cm produce 10 beat/sec. The velocity of sound will be [Pb. PMT 2004]
A) 255 m/s done
clear
B) 250 m/s done
clear
C) 350 m/s done
clear
D) None of these done
clear
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question_answer27) What is minimum length of a tube, open at both ends, that resonates with tuning fork of frequency 350 Hz ? [velocity of sound in air = 350 m/s] [DPMT 2004]
A) 50 cm done
clear
B) 100 cm done
clear
C) 75 cm done
clear
D) 25 cm done
clear
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question_answer28) Two open organ pipes give 4 beats/sec when sounded together in their fundamental nodes. If the length of the pipe are 100 cm and 102.5 cm respectively, then the velocity of sound is : [Pb. PET 2000; CPMT 2001]
A) 496 m/s done
clear
B) 328 m/s done
clear
C) 240 m/s done
clear
D) 160 m/s done
clear
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question_answer29) The harmonics which are present in a pipe open at one end are [UPSEAT 2000; MHCET 2004]
A) Odd harmonics done
clear
B) Even harmonics done
clear
C) Even as well as odd harmonics done
clear
D) None of these done
clear
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question_answer30) An open pipe is suddenly closed at one end with the result that the frequency of third harmonic of the closed pipe is found to be higher by 100 Hz, then the fundamental frequency of open pipe is: [UPSEAT 2001; Pb. PET 2004]
A) 480 Hz done
clear
B) 300 Hz done
clear
C) 240 Hz done
clear
D) 200 Hz done
clear
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question_answer31) Tube A has both ends open while tube B has one end closed, otherwise they are identical. The ratio of fundamental frequency of tube A and B is [AIEEE 2002; CPMT 2004]
A) 1 : 2 done
clear
B) 1 : 4 done
clear
C) 2 : 1 done
clear
D) 4 : 1 done
clear
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question_answer32) If the temperature increases, then what happens to the frequency of the sound produced by the organ pipe [RPET 1996; DPMT 2000; RPMT 2001]
A) Increases done
clear
B) Decreases done
clear
C) Unchanged done
clear
D) Not definite done
clear
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question_answer33) Apparatus used to find out the velocity of sound in gas is [AFMC 2004]
A) Melde?s apparatus done
clear
B) Kundt?s tube done
clear
C) Quincke?s tube done
clear
D) None of these done
clear
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question_answer34) Standing stationary waves can be obtained in an air column even if the interfering waves are [CPMT 1972]
A) Of different pitches done
clear
B) Of different amplitudes done
clear
C) Of different qualities done
clear
D) Moving with different velocities done
clear
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question_answer35) The stationary wave \[y=2a\sin kx\cos \omega \,t\] in a closed organ pipe is the result of the superposition of \[y=a\sin (\omega \,tkx)\]and [Roorkee 1994]
A) \[y=a\cos (\omega \,t+kx)\] done
clear
B) \[y=a\sin (\omega \,t+kx)\] done
clear
C) \[y=a\sin (\omega \,t+kx)\] done
clear
D) \[y=a\cos (\omega \,t+kx)\] done
clear
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question_answer36) Stationary waves are set up in air column. Velocity of sound in air is 330 m/s and frequency is 165 Hz. Then distance between the nodes is [EAMCET (Engg.) 1995; CPMT 1999]
A) 2 m done
clear
B) 1 m done
clear
C) 0.5 m done
clear
D) 4 m done
clear
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question_answer37) An open pipe of length l vibrates in fundamental mode. The pressure variation is maximum at [EAMCET (Med.) 1999]
A) 1/4 from ends done
clear
B) The middle of pipe done
clear
C) The ends of pipe done
clear
D) At 1/8 from ends of pipe middle of the pipe done
clear
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question_answer38) Fundamental frequency of pipe is 100 Hz and other two frequencies are 300 Hz and 500 Hz then [RPMT 1998, 2003; CPMT 2001]
A) Pipe is open at both the ends done
clear
B) Pipe is closed at both the ends done
clear
C) One end open and another end is closed done
clear
D) None of the above done
clear
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question_answer39) Fundamental frequency of an open pipe of length 0.5 m is equal to the frequency of the first overtone of a closed pipe of length l. The value of lc is (m) [KCET 1999]
A) 1.5 done
clear
B) 0.75 done
clear
C) 2 done
clear
D) 1 done
clear
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question_answer40) In a closed organ pipe the frequency of fundamental note is 50 Hz. The note of which of the following frequencies will not be emitted by it [J & K CET 2000]
A) 50 Hz done
clear
B) 100 Hz done
clear
C) 150 Hz done
clear
D) None of the above done
clear
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question_answer41) On producing the waves of frequency 1000 Hz in a Kundt's tube, the total distance between 6 successive nodes is 85 cm. Speed of sound in the gas filled in the tube is [AFMC 1999]
A) 330 m/s done
clear
B) 340 m/s done
clear
C) 350 m/s done
clear
D) 300 m/s done
clear
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question_answer42) What is the base frequency if a pipe gives notes of frequencies 425, 255 and 595 and decide whether it is closed at one end or open at both ends [UPSEAT 2001]
A) 17, closed done
clear
B) 85, closed done
clear
C) 17, open done
clear
D) 85, open done
clear
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question_answer43) A student determines the velocity of sound with the help of a closed organ pipe. If the observed length for fundamental frequency is 24.7 m, the length for third harmonic will be [RPET 2002]
A) 74.1 cm done
clear
B) 72.7 cm done
clear
C) 75.4 cm done
clear
D) 73.1 cm done
clear
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question_answer44) An open pipe of length 33 cm resonates with frequency of 100 Hz. If the speed of sound is 330 m/s, then this frequency is [RPMT 2002]
A) Fundamental frequency of the pipe done
clear
B) Third harmonic of the pipe done
clear
C) Second harmonic of the pipe done
clear
D) Fourth harmonic of the pipe done
clear
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question_answer45) In a resonance tube the first resonance with a tuning fork occurs at 16 cm and second at 49 cm. If the velocity of sound is 330 m/s, the frequency of tuning fork is [DPMT 2002]
A) 500 done
clear
B) 300 done
clear
C) 330 done
clear
D) 165 done
clear
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question_answer46) Two closed organ pipes of length 100 cm and 101 cm 16 beats in 20 sec. When each pipe is sounded in its fundamental mode calculate the velocity of sound [AFMC 2003]
A) 303 ms?1 done
clear
B) 332 ms?1 done
clear
C) 323.2 ms?1 done
clear
D) 300 ms?1 done
clear
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question_answer47) In open organ pipe, if fundamental frequency is n then the other frequencies are [BCECE 2005]
A) n, 2n, 3n, 4n done
clear
B) n, 3n, 5n done
clear
C) n, 2n, 4n, 8n done
clear
D) None of these done
clear
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question_answer48) If in an experiment for determination of velocity of sound by resonance tube method using a tuning fork of 512 Hz, first resonance was observed at 30.7 cm and second was obtained at 63.2 cm, then maximum possible error in velocity of sound is (consider actual speed of sound in air is 332 m/s) [IITJEE (Screening) 2005
A) 204 cm/sec done
clear
B) 110 cm/sec done
clear
C) 58 cm/sec done
clear
D) 80 cm/sec done
clear
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question_answer49) An organ pipe, open from both end produces 5 beats per second when vibrated with a source of frequency 200 Hz. The second harmonic of the same pipes produces 10 beats per second with a source of frequency 420 Hz. The frequency of source is [DCE 2005]
A) 195 Hz done
clear
B) 205 Hz done
clear
C) 190 Hz done
clear
D) 210 Hz done
clear
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question_answer50) In one metre long open pipe what is the harmonic of resonance obtained with a tuning fork of frequency 480 Hz [J & K CET 2005]
A) First done
clear
B) Second done
clear
C) Third done
clear
D) Fourth done
clear
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question_answer51) An organ pipe open at one end is vibrating in first overtone and is in resonance with another pipe open at both ends and vibrating in third harmonic. The ratio of length of two pipes is [DCE 2005]
A) 1 : 2 done
clear
B) 4 : 1 done
clear
C) 8 : 3 done
clear
D) 3 : 8 done
clear
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question_answer52) In a resonance pipe the first and second resonances are obtained at depths 22.7 cm and 70.2 cm respectively. What will be the end correction [J & K CET 2005]
A) 1.05 cm done
clear
B) 115.5 cm done
clear
C) 92.5 cm done
clear
D) 113.5 cm done
clear
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question_answer53) An open tube is in resonance with string (frequency of vibration of tube is n0). If tube is dipped in water so that 75% of length of tube is inside water, then the ratio of the frequency of tube to string now will be [J & K CET 2005]
A) 1 done
clear
B) 2 done
clear
C) \[\frac{2}{3}\] done
clear
D) \[\frac{3}{2}\] done
clear
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