Figure Shown the Shape of Part of a Long String in Which Transverse Waves Are Produced by Attaching...

P6 2014

1) Figure shown the shape of part of a long string in which transverse waves are produced by attaching one end of the string to tuning fork of frequency 250 Hz. What is the velocity of the waves?

1)1.0ms-1 2) 2.0ms-1 3) 3.0ms-1

4) 1.5ms-1 5)2.5.0ms-1

2) A uniform rope having some mass hangs vertically from a rigid support. A transverse wave pulse is produced at the lower end. The speed (v) of the wave pulse varies with height (h) from the lower end as:

3) A pulse shown here is reflected from the rigid wall A and then from free end B. The shape of the string after these 2 reflection will be

4) A wave pulse on a string has the dimension shown in figure. The waves speed is v = 1 cm/s. If point O is a free end. The shape of wave at time t = 3 s is :

Harshana Perera(B.Sc(phy),BIT,SCJP) 2014 R Kit Turn Over

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5) The graphs in figure show that a quantity y varies with displacement d in a system undergoing simple harmonic motion.

6) A 2 Kg block moving with 10 m/s strikes a spring of constant 2 N/m attached to 2 Kg block at rest kept on a smooth floor. The time for which rear moving block remain in contact with spring will be

7) Source and observer both start moving simultaneously from origin, one along x-axis and the other along y-axis with speed of source = twice the speed of observer. The graph between the apparent frequency observed by observer f and time t would approximately be :

8) Consider two sound sources S1 and S2 having same frequency 100Hz and the observer O located between them as shown in the fig. All the three are moving with same velocity in same direction. The beat frequency of the observer is


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(A) 50Hz (B) 5 Hz (C) zero (D) 2.5 Hz

9) The frequency changes by 10% as a sound source approaches a stationary observer with constant speed vs. What would be the percentage change in frequency as the source recedes the observer with the same speed. Given that vs < v. (v = speed of sound in air)

(A) 14.3% (B) 20% (C) 10.0% (D) 8.5%

10) The speed of sound in a gas, in which two waves of wavelength 1.0 m and 1.02 m produce 6 beats per second, is approximately:

(A) 350 m/s (B) 300 m/s (C) 380 m/s (D) 410 m/s

11) A closed organ pipe and an open pipe of same length produce 4 beats when they are set into vibrations Simultaneously. If the length of each of them were twice their initial lengths, the number of beats produced will be

(A) 2 (B) 4 (C) 1 (D) 8

12) A tuning fork of frequency 280 Hz produces 10 beats per sec when sounded with a vibrating sonometer string. When the tension in the string increases slightly, it produces 11 beats per sec. The original frequency of the vibrating sonometer string is :

A) 269 Hz (B) 291 Hz (C) 270 Hz (D) 290 Hz

13) A closed organ pipe has length ‘l’. The air in it is vibrating in 3rd

overtone with maximum displacement amplitude ‘a’. The displacement amplitude at distance l / 7 from closed end of the pipe is:

(A) a/ 2 (B) a/4 (C) 0 (D) a

14) A pipe’s lower end is immersed in water such that the length of air column from the top open end has a certain length 25 cm. The speed of sound in air is 350 m/s. The air column is found to resonate with a tuning fork of frequency 1750 Hz. By what minimum distance should the pipe be raised in order to make the air column resonate again with the same tuning fork?

(A) 7 cm (B) 5 cm (C) 35 cm (D) 10 cm

15) In a closed end pipe of length 105 cm, standing waves are set up corresponding to the third overtone. What distance from the closed end, amongst the following, is a pressure Node?

(A) 20 cm (B) 60 cm (C) 85 cm (D) 45 cmHarshana Perera(B.Sc(phy),BIT,SCJP) 2014 R Kit Turn Over

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16) An organ pipe P1 closed at one end vibrating in its first overtone. Another pipe P2 open at both ends is vibrating in its third overtone. They are in a resonance with a given tuning fork. The ratio of the length of P1 to that of P2 is :

(A) 8/3 (B) 3/8 (C) ½ (D) 1/3

17) A tuning fork of frequency 340 Hz is vibrated just above a cylindrical tube of length 120 cm. Water is slowly poured in the tube. If the speed of sound is 340 ms–1 then the minimum height of water required for resonance is:

(A) 95 cm (B) 75 cm (C) 45 cm (D) 25 cm

18) Sound waves of frequency 660 Hz fall normally on a perfectly reflecting wall. The shortest distance from the wall at which the air particle has maximum amplitude of vibration is (velocity of sound in air is 330 m/s)

(A) 0.125 m (B) 0.5 m (C) 0.25 m (D) 2 m

19) The figure represents the instantaneous picture of a longitudinal harmonic wave travelling along the negative x-axis. Identify the correct statement(s) related to the movement of the points shown in the figure. The points moving in the direction of wave are(A) b (B) c (C) f (D)

20) The points moving opposite to the direction of propagation are(A) a (B) d (C) f (D)

21) The stationary points are(A) a (B) c (C) g (D)

22) An ambulance with its siren sounding a note of constant frequency fs drives along a straight road. Which of the graphs below best represents the variation of frequency f heard by a man standing close to the road as the ambulance drives past?


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23) The tip of each prong of a tuning fork, emitting a sound wave of frequency 250 Hz, has amplitude of 0.5 mm. What is the speed of each tip when its displacement is 0.4 mm?

A. 0.47 m/s B. 0.79 m/s C. 7.85 m/s D. 740 m/s E. 1.23 m/s24) Two stretched wires are tuned to vibrate transversely at the same frequency of 1 200 Hz. When the tension in one of the wires is reduced by 1%, beats are heard as both wires Vibrate. The beat frequency is

A. 3 Hz. B. 6 Hz .C. 12 Hz. D. 24 Hz. E. 1 188 Hz

25) An aeroplane flies horizontally at a low altitude with a constant speed of 300 m/s. It Transmits a radio signal of frequency 30 MHz as it passes a receiving station. What is theDifference in the frequencies received a long time before and a long time after the passage ofthe plane?

A. 10 Hz. B. 30 Hz. C. 60 Hz. D. 120 Hz. E. 150 Hz

26) If two independent sources, each separately at a noise level of 70 dB, are sounded together, they will produce a noise level of

A. 35 dB. B. 70 dB. C. 73 dB D. 90 dB. E. 140 dB

27) Two waveforms X and Y are displayed on a C.R.O. screen. Which of the following statements is correct?

A. X leads Y by a phase difference of π/4.

B. X leads Y by a phase difference of π/2.

C. Y leads X by a phase difference of π/4.

D. Y leads X by a phase difference of π/2.

E. There is no phase difference between X and Y.

28) If 3/4 of the sound energy produced by a typewriter is absorbed by a sponge rubber pad placed underneath, the sound level produced will fall by

A. 0.25 dB. B. 0.75 dB. C. 3.00 dB. D. 6.00 dB. E. 12 dB.


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29) A loudspeaker at O produces a progressive sound wave of frequency 330 Hz which Propagates along OA with a speed of 330 m/s. The phase difference between the air vibrations at P and Q, 0.5 m apart, is

A. dependent on the distance OP. B. zero. C. 0.5 radians. D. π/2 radians.

E. π radians.

30)

31) The figure shows two pulses travelling to the right along a rope. The right-hand end of the ,rope is fixed to a wall. The following figures represent predicted positions of the pulses at later times (where appropriate, the arrows indicate the direction of a pulse). Which of the following could NOT arise from the initial given condition?

32) A stationary sound wave vibrating in its fundamental mode is set up in a tube closed at one end. P and Q are two points at the end and the middle of the tube along its axis. Neglecting end-correction, what is the phase difference between the vibrations of the air molecules at points P and Q?

A. 0 B. ¼ πradian C. ½ πradian D. πradian E. 1 ¼ πradians


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33) A transistor radio produces a sound of intensity level 40 dB at a point 5 m away from it. What is the intensity level in decibels 20 m from the radio, which may be regarded as a point source?

A. 10 dB B. 28 dB C. 30 dB

D. 34 dB E. 40 dB

34) A loudspeaker L produces sound waves with frequency 1 000 Hz. The sound waves areReflected from a wall S. When a microphone M is moved between L and S, the loudness of the Sound detected varies. (Speed of sound in air = 340 m/s)

Which of the following statements is/are true?(1) The variation in the loudness of the sound is due to diffraction.(2) The separation between consecutive positions of soft sound is 0.34 m.(3) Increasing the sound frequency will make the positions of soft sound closer.

A. (1) only B. (3) only C. (1) and (2) only D. (2) and (3) only E. (1), (2) and (3)

35) Which of the following waves can be polarized?

(1) Microwaves (2) X-rays (3) ultrasonic waves


36) A stationary sound wave vibrating in its fundamental mode is set up in a pipe open at both ends. If an air particle at P oscillates with amplitude a, what are the amplitudes of oscillation of the air particles at Q and R? (Neglect end corrections)

Amplitude at Q Amplitude at RA . 0 a/2B . a/2 0C. 0 aD. a 0E a a

37) The figure shows a sound wave travelling to the right in air. Air particles A and B are at the centre of a compression and a rarefaction


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respectively. Which of the following gives correctly the directions of motion of A and B at the moment shown?

Particle A Particle BA. to the right to the leftB. to the right at restC. to the right to the rightD. at rest to the rightE. to the left to the right

38) The above figure shows a transverse wave propagating to the right along a string. At the moment shown, which of the labeled particles has its velocity and acceleration in opposite directions?

A. P B. Q C. R D. S E. T

39)

Three identical long spiral springs are connected respectively to a wall, a lightThread and a heavy spring. If a crest shaped pulse is sent along each spiral spring towards the respective boundary, which of the following diagrams correctly show(s) the reflected pulse?(Transmitted pulse is not shown.)

A. (1) only B. (3) only

C. (1) and (2) only

D. (2) and (3) onlyE. (1), (2) and (3)

40) Two pipes A and B, with pipe A closed at one end and pipe B open at both ends, are sounded to give fundamental notes of the same frequency. The length ratio of pipe A to pipe B is

A. 1 : 4 B. 1 : 2 C. 1 : 1 D. 2 : 1 E. 4 : 1


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41) The above figure shows a long vertical glass tube containing water. The water level is lowered until the first resonance occurs when a vibrating tuning fork is placed at the opening of the tube. Which of the following statements is/are correct? (Neglect end corrections.)

(1) The sound produced by the air column above the water has the same frequency as the tuning fork.(2) Resonance will occur again if the length of the air column above the water is increased to three times its original value.(3) Resonance will occur again if another tuning fork of twice the frequency is used.


42) Two dippers S1 and S2 1.2 cm apart are attached to a vibrator. They vibrate in phase in a ripple tank and generate waves of wavelength 0.8 cm.

Which of the following statements is/are correct?(1) S1 and S2 are positions of antinodes.(2) There is only one point between S1 and S2 which is always stationary.(3) The separation between two nearest antinodes between S1 and S2 is 0.4 cm.


43)

The above figure shows an instantaneous wave profile representing a sound wave Travelling to the right in air. Which of the following about the part of the wave at P at this instant is/are correct? (Take the displacement towards right as positive.)

(1) P is a centre of compression.(2) The air particle at P has the greatest kinetic energy.(3) The air particle at P is moving towards right.



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44)

A

dot vibrator is moving across the surface of water in a ripple tank with a steady speed as shown. The figure represents the water surface showing the pattern of the water waves against a Background of centimeter squares. The speed of the water waves is 20 cms -1. What is the speed of the dot vibrator?

A. 10 cms-1 B. 8 cms-1 C. 5 cms-1 D. 4 cms-1 E. 2 cms-1

45) A stretched string is 1 m long and is fixed at both ends. Stationary waves of 400 Hz and 450 Hz but no other intermediate frequency can be formed. What is the speed of the mechanical waves along the string?

A. 25 ms-1 B. 50 ms-1 C. 100 ms-1 D. 200 ms-1 (E) 0 ms-1

46) A stretched wire carries a body of density a = 8000 kg/m3 at its end. The fundamental frequency of vibration of wire is 260 Hz. The body is dipped completely in a vessel of water. The new frequency of fundamental mode of vibrations is: (The density of water is p = 1000 kg/m3)

(a) 262 Hz (b) 260 Hz (c) 243.2 Hz (d) 255.5 Hz(E) 264Hz

47) The speed of sound in air is 333 m/s. The fundamental frequency of the open pipe is 333 Hz. The second overtone of the open organ pipe can be produced with a pipe of length :

(a) 0.5 m (b) 1 m (c) 1.5cm (d) 2cm (e) 2.5cm

48) Two passenger trains moving with a speed of 108 km/hour cross each other. One of them blows a whistle whose frequency is 750 Hz. If speed of sound is 300 m/s, then passengers sitting in the other train, after trains cross each other, will hear sound whose frequency will be:

(a) 900 Hz (b) 625 Hz (c) 750 Hz (d) 800 Hz (e) 700Hz

49) A source of sound emitting a note of frequency 200 Hz moves towards an observer with a velocity v equal to the velocity of sound. If the observer also moves away from the source with the same velocity v, the apparent frequency heard by the observer is :


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(a) 50 Hz (b) 100 Hz (c) 150 Hz (d); 200 Hz (e) 75Hz

50) A boy watches a jet plane flying from north to south. When the jet is just seen above his head, the sound of jet appears to reach him making some angle with horizontal from north. If the velocity of sound is v, and velocity of jet is v!2, then the angle is :

(a) 60° (b) 30° (c) 45° (d) 15° (e) 0

51) An organ pipe closed at one end resonates with a tuning fork of frequencies 180 Hz and 300 Hz. It will also resonate with tuning fork of frequencies:

(a) 360 Hz (b) 420 Hz (c) 480 Hz (d) 540 Hz (e) 200Hz

52) A long tube of length I = 25 cm and diameter equal to 2 cm is taken and at its mouth air is blown as shown in figure. The sound emitted by tube will have all the frequencies of the group : (velocity of sound = 330 m/s)

(a) 660, 1320, 1980 Hz (b) 660, 1000, 3300 Hz (c) 302, 684, 1320 Hz (e) 100Hz, 150Hz, 200Hz(d) 330, 990, 1690 Hz

53) Two sources A and B are sounding notes of frequency 680 Hz. A listener moves from A to B with a constant velocity n. If the speed of sound is 340 m/s, what must be the value of w, so that he hears 10 beats per second (a) 2 m/s (b) 2.5 m/s (c) 3 m/s (d) 3.5 m/s (e) 1.5m

54) A mass m, attached to a horizontal massless spring with spring constant k, is set into simple harmonic motion. Its maximum displacement from its equilibrium position is A. What is the mass’s speed as it passes through its equilibrium position?

55) The period of a spring-mass system undergoing simple harmonic motion is T. If the amplitude of the springmass system’s motion is doubled, the period will be:

(A) ¼ T (B) ½ T (C) T (D) 2T (E) 4T

56) A simple pendulum of mass m and length L has a period of oscillation T at angular amplitude θ = 5° measured from its equilibrium position. If the amplitude is changed to 10° and everything else remains constant, the new period of the pendulum would be approximately.

(A) 2T (B) (√2) T (C) T (D) T / (√2) (E) T / 2


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57) A mass m is attached to a spring with a spring constant k. If the mass is set into simple harmonic motion by a displacement d from its equilibrium position, what would be the speed, v, of the mass when it returns to the equilibrium position?


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80) A sonometer wire 65 cm long, is in resonance with a tuning fork of frequency /. If the length of the sonometer wire is increased by 1 cm and it is vibrated with the same tuning fork, 8 beats are heard per second. The value of / is: (a) 256 Hz (b) 512 Hz (c) 260 Hz (d) 520 Hz8) At which temperature, velocity of sound at 27°C doubles? (a) 54°C (b) 327°C (c) 927°C (d) -123°C

81) Velocity of sound waves in air is 330 m/s. For a particular sound in air, a path difference of 40 cm is equivalent to a phase difference of 1.6 n. The frequency of this wave is: (a) 165 Hz (b) 150 Hz (c) 660 Hz (d) 330 Hz

82) A tuning fork and sonometer wire were sounded together and produce 4 beats per second. When the length of sonometer wire is 95 cm or 100 cm, the frequency of the tuning fork is : (a) 156 Hz (b) 152 Hz (c) 148 Hz (d) 160 Hz

83) A source of sound is travelling with a velocity 40 km/hour towards stationary observer and emits sound of frequency 2000 Hz. If velocity of sound is 1220 km/hour, then what is the apparent frequency heard by the observer? (a) 2210 Hz (b) 1920 Hz (c) 2068 Hz (d) 2086 Hz

84) Figure shown the shape of part of a long string in which transverse waves are produced by attaching one end of the string to tuning fork of frequency 250 Hz. What is the velocity of the

85) Six small toy boats are floating in a pond. They are equally spaced. The separation between two boats is 20 cm. Pulses are sent out regularly from the right. The positions of the boats are shown in the figure at four-second time intervals


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The speed of the water pulse in cm/s is

A. 10 B. 20 C. 30 D. 40 E. 501)A 2.00-m-long wire having a mass of 0.100 kg is fixed at both ends. The tension in the wire is maintained at 20.0 N. What are the frequencies of the first three allowed modes of vibration? If a node is observed at a point 0.400 m from one end, in what mode and with what frequency is it vibrating?

2) Find the fundamental frequency and the next three frequencies that could cause a standing-wave pattern on a string that is 30.0 m long, has a mass per length of 9.00 * 10 -3 kg/m, and is stretched to a tension of 20.0 N.

3) A standing wave is established in a 120-cm-long string fixed at both ends. The string vibrates in four segments when driven at 120 Hz. (a) Determine the wavelength. (b) What is the fundamental frequency of the string?

4) A cello A-string vibrates in its first normal mode with a frequency of 220 vibrations/s. The vibrating segment is 70.0 cm long and has a mass of 1.20 g. (a) Find the tension in the string. (b) Determine the frequency of vibration when the string vibrates in three segments

5) A 60.0-cm guitar string under a tension of 50.0 N has a mass per unit length of 0.100 g/cm. What is the highest resonance frequency of the string that can be heard by a person able to hear frequencies of up to 20 000 Hz?

6) A stretched wire vibrates in its first normal mode at a frequency of 400 Hz. What would be the fundamental frequency if the wire were half as long, its diameter were doubled, and its tension were increased four-fold?

7) An earthquake can produce a seiche (pronounced “saysh”) in a lake, in which the water sloshes back and forth from end to end with a remarkably large amplitude and long period. Consider a seiche produced in a rectangular farm pond, as diagrammed in the cross-sectional view of Figure P18.29 (figure not drawn to scale). Suppose that the pond is 9.15 m long and of uniform depth. You measure that a wave pulse produced at one end reaches the other end in 2.50 s. (a) What is the wave speed? (b) To produce the seiche, you suggest that several people stand on the bank at one end and paddle together with snow shovels, moving them in simple harmonic motion. What must be the frequency of this motion?

8) The overall length of a piccolo is 32.0 cm. The resonating air column vibrates as a pipe open at both ends. (a) Find the frequency of the lowest note that a piccolo can play, assuming that the speed of sound in air is 340 m/s. (b) Opening holes in the side effectively shortens the length of the resonant column. If the highest note that a piccolo can sound is 4 000 Hz, find the distance between adjacent antinodes for this mode of vibration


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9) As shown in Figure P18.39, water is pumped into a long Vertical cylinder at a rate of 18.0 cm3/s. The radius of the cylinder is 4.00 cm, and at the open top of the cylinder is a tuning fork vibrating with a frequency of 200 Hz. As the water rises, how much time elapses between successive resonances?

10) A glass tube is open at one end and closed at the other by a movable piston. The tube is filled with air warmer than that at room temperature, and a 384-Hz tuning fork is held at the open end. Resonance is heard when the piston is 22.8 cm from the open end and again when it is 68.3 cm from the open end. (a) What speed of sound is implied by these data? (b) How far from the open end will the piston be when the next resonance is heard?

11) For the arrangement shown in Figure P18.54 ϴ=300, the inclined plane and the smallPulley is frictionless, the string supports the mass M at the bottom of the plane, and the string has a mass m that is small compared with M. The system is in equilibrium, and the vertical part of the string has a length h. Standing waves are set up in the vertical section of the string. Find (a) The tension in the string, (b) the whole length of the string (ignoring the radius of curvature of the pulley), (c) The mass per unit length of the string,(d) The speed of waves on the string, (e) The lowest-frequency standing wave, (f) The period of the standing wave having three nodes, (g) The wavelength of the standing wave having three nodes, and (h) The frequency of the beats resulting from the interference of the sound wave of lowest frequency generated by the string with another sound wave having a frequency that is 2.00% greater.

12) Two train whistles have identical frequencies of 180 Hz. When one train is at rest in the station and is sounding Its whistle, a beat frequency of 2.00 Hz is heard from a train moving nearby. What are the two possible speeds? and directions that the moving train can have?

13) A speaker at the front of a room and an identical speaker at the rear of the room are being driven by the same oscillator at 456 Hz. A student walks at a uniform rate of 1.50 m/s along the length of the room. How many beats does the student hear per second? While Jane waits on a railroad platform, she observes two trains approaching from the same direction at equal speeds of 8.00 m/s. Both trains are blowing their whistles (which have the same frequency), and one train is some distance behind the other. After the first train passes Jane, but before the second train passes her, she hears beats having a frequency of 4.00 Hz. What is the frequency of the trains’ whistles?


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14) A block with a speaker bolted to it is connected to a spring having spring constant k= 20.0 N/m, as shown in Figure P17.38. The total mass of the block and speaker is 5.00 kg, and the amplitude of this unit’s motion is 0.500 m. (a) If the speaker emits sound waves of frequency 440 Hz, determine the highest and lowest frequencies heard by the person to the right of the speaker.(b) If the maximum sound level heard by the person is 60.0 dB when he is closest to the speaker, 1.00 m away, what is the minimum sound level heard by the observer? Assume that the speed of sound is 343 m/s.

15) In the arrangement shown in Figure P18.25, a mass can be hung from a string (with a linear mass density of µ= 0.002 00 kg/m) that passes over a light pulley. The string is connected to a vibrator (of constant frequency f ), and the length of the string between point P and the pulley is L= 2.00 m. When the mass m is either 16.0 kg or 25.0 kg, standing waves are observed; however, no standing waves are observed with any mass between these values. (a) What is the frequency of the vibrator? (Hint: The greater the tension in the string, the smaller the number of nodes in the standing wave.) (b) What is the largest mass for which standing waves could be observed?

16) An ideal spring of unstretched length 0.20 m is placed horizontally on a frictionless table as shown above. One end of the spring is fixed and the other end is attached to a block of mass M = 8.0 kg. The 8.0 kg block is also attached to a massless string that passes over a small frictionless pulley. A block of mass m = 4.0 kg hangs from the other end of the string. When this spring-and-blocks system is in equilibrium, the length of the spring is 0.25 m and the 4.0 kg block is 0.70 m above the floor. (a) On the figures below, draw free-body diagrams showing and labeling the forces on each block when the system is in equilibrium.M = 8.0 kg m = 4.0 kg


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(b) Calculate the tension in the string.(c) Calculate the force constant of the spring. The string is now cut at point P.(d) Calculate the time taken by the 4.0 kg block to hit the floor.(e) Calculate the frequency of oscillation of the 8.0 kg block.(f) Calculate the maximum speed attained by the 8.0 kg block.

17)

A vibrating tuning fork is held above a column of air, as shown in the diagrams above. The reservoir is raised and lowered to change the water level, and thus the length of the column of air. The shortest length of air column that produces a resonance is L1 = 0.25 m , and the next resonance is heard when the air column is L2 = 0.80 m long. The speed of sound in air at 20°C is 343 m/s and the speed of sound in water is 1490 m/s.

(a) Calculate the wavelength of the standing sound wave produced by this tuning fork.

(b) Calculate the frequency of the tuning fork that produces the standing wave, assuming the air is at 20°C.(c) Calculate the wavelength of the sound waves produced by this tuning fork in the water.

(d) The water level is lowered again until a third resonance is heard. Calculate the length L 3

of the air column that produces this third resonance.

(e) The student performing this experiment determines that the temperature of the room is actually slightly higher than 20°C. Is the calculation of the frequency in part (b) too high, too low, or still correct?_____ Too high _____ Too low _____ Still correct Justify your answer.


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18) A simple apparatus for demonstrating resonance in an air column is depicted in Figure 18.15. A vertical pipe open at both ends is partially submerged in water, and a tuning fork vibrating at an unknown frequency is placed near the top of the pipe. The length L of the air column can be adjusted by moving the pipe vertically. The sound waves generated by the fork are reinforced when L corresponds to one of the resonance frequencies of the pipe. For a certain tube, the smallest value of L for which a peak occurs in the sound intensity is 9.00 cm. What are (a) the frequency of the tuning fork and (b) the value of L for the next two resonance frequencies?

19) As shown in Figure P18.39, water is pumped into a long vertical cylinder at a rate of 18.0 cm3/s. The radius of the cylinder is 4.00 cm, and at the open top of the cylinder is a tuning fork vibrating with a frequency of 200 Hz. As the water rises, how much time elapses between successive resonances?

20) Middle C on a piano has a fundamental frequency of 262 Hz, and the first A above middle C has a fundamental frequency of 440 Hz. (a) Calculate the frequencies of the next two harmonics of the C string.


Figure Shown the Shape of Part of a Long String in Which Transverse Waves Are Produced by Attaching...

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