JEE Main & Advanced Physics Wave Mechanics Question Bank

done Organ Pipe (Vibration of Air Column) Total Questions - 53

• 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
  View Solution play_arrow

• 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
  View Solution play_arrow

• 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
  View Solution play_arrow

• 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
  View Solution play_arrow

• 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
  View Solution play_arrow

• 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
  View Solution play_arrow

• 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
  View Solution play_arrow

• 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
  View Solution play_arrow

• 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
  View Solution play_arrow

• 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 \[y=a\sin (\omega \,t-kx)\]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
  View Solution play_arrow

• 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
  View Solution play_arrow

• 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
  View Solution play_arrow

• 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
  View Solution play_arrow

• 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
  View Solution play_arrow

• 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
  View Solution play_arrow

• 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
  View Solution play_arrow

• 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
  View Solution play_arrow

• 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
  View Solution play_arrow

• 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)                       [IIT-JEE (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
  View Solution play_arrow

• 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
  View Solution play_arrow

• 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
  View Solution play_arrow

• 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
  View Solution play_arrow

• 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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