Stationary Waves Questions: Paper - 03 More Physics Questions


The harmonics which are present in a pipe open t one end are (MHT CET 2004)

(a) Odd harmonics

(b) Even harmonics

(c) Even as we as odd harmonics

(d) None of these

Answer: (a)


A closed organ pipe and an open organ pipe have their first overtones identical in frequency. Their lengths are in the ratio

(a) 1:2

(b) 2:3

(c) 3:4

(d) 4:5

Answer: (c)


The frequency of fundamental note emitted by a string of length l clamped at both ends is (n = velocity of sound in string) (CPMT 93)





Answer: (c)


A standing wave is represented by

y = a sin (100t) cos(0.01x) where y and a are in millimeter, t in second and x in metre. Velocity of wave is (C.B.S.E-94)

(a) 104 m/s

(b) 1 m/s

(c) 10-4 m/s

(d) Not derived from above data

Answer: (a)


The type of wave produced in a SITAR wire are (C.P.M.T-92)

(a) Progressive transverse wave

(b) Progressive longitudinal wave

(c) Stationary transverse wave

(d) Stationary longitudinal wave

Answer: (c)


Air is blown at the mouth of a tube (Length 25 cm and diameter 3 cm) closed at one end. Velocity of sound is 330 m/s. the sound which is produced will correspond to the frequencies (CPMT 88)

(a) 330 Hz

(b) Combination of frequencies 330, 660, 990, 120, 1650 Hz

(c) Combination of frequencies 330, 990, 1650, 2310, Hz

(d) Combination of frequencies 300, 900, 1500, 2100, Hz

Answer: (c)


The displacement of a particle executing periodic motion is given by

y = 4 cos2t sin (1000t). this expression may be considered to be a result of superposition of (I.I.T-92)

(a) Two

(b) Three

(c) Four

(d) Five

Answer: (b)


Transverse wave are generated in two uniform steel wires A and B by attaching their free end to a vibrating source of frequency 500 Hz. The diameter of wire A is half that of wire B and the tension on wire A is half that on wire B. what is ratio of the velocity of waves in wires A and B (NCERT 83)

(a) 1: 2

(b) 2: 1



Answer: (d)


A stretched string of 1 m length, fixed at both ends, having a mass of 5 ´ 10-4 kg is under a tension of 20 N. it is plucked at a point situated at 25 cm from one end. The stretched string would vibrate with frequency of

(CPMT 88)

(a) 400 Hz

(b) 100 Hz

(c) 200 Hz

(d) 256 Hz

Answer: (c)


The sonometer wire is vibrating in the second overtone. We may say that there are (CPMT 91)

(a) Two nodes and two antinodes

(b) One nodes and two antinodes

(c) Four nodes and three antinodes

(d) Three nodes and three antinodes

Answer: (c)


Two wires made up of the same material are of equal lengths but their diameters are in the ratio 1: 2. on stretching each of these two strings by the same tension, the ratio between the fundamental frequencies of these strings is (PMT MP 89)

(a) 1: 4

(b) 1: 2

(c) 2: 1

(d) 4: 1

Answer: (c)


The tension in the sonometer wire is increased by 21%. It fundamental frequency (MHT CET 2001)

(a) Increases by 21%

(b) Increases by 10%

(c) Increases by 5%

(d) Increases by 7%

Answer: (b)


Two organ pipes, closed at one end, when sounded together produce 3 beats/second. If their lengths are in the ratio of 101:100, then the fundamental notes produces by them have the frequencies (in Hz)

(a) 100 and 103

(b) 206 and 203

(c) 300 and 303

(d) 400 and 403

Answer: (c)


In a closed organ pipe the fundamental frequency is n. what will be the ratio of frequencies of the next three overtones? (NCERT 90)

(a) 2: 3: 4

(b) 3: 4: 5

(c) 3: 7: 11

(d) 3: 5: 7

Answer: (d)


A tuning fork of frequency 480 Hz is in unison with the first overtone of a pipe closed at one end. What is the fundamental frequency of the closed pipe?

(a) 120 Hz

(b) 140 Hz

(c) 150 Hz

(d) 160 Hz

Answer: (d)


A closed tube has frequency n. if its length is doubled and radius is halved its frequency will become

(PMT, MP 85)



(c) nq

(d) 2 n

Answer: (b)


A wave represented by the equation

y = a cos (kx - wt) is superposed with another wave to form a stationary wave such that the point x = 0 is a node. The equation for the other wave is (I.I.T-88)

(a) a sin (kx + wt)

(b) - a cos (kx + wt)

(c) - a cos (kx - wt)

(d) - a sin (kx + wt)

Answer: (b)


Two linear simple harmonic motions of the same frequency and amplitude are combined and act on a particle are right angles. The resulting motion of the particle will be circular when the phase difference between the two wave is (C.P.M.T-89)



(c) p

(d) Zero

Answer: (a)


Transverse position in Meld’s experiment is chanted to parallel position. If length of string remaining the same and tension is made half. If in perpendicular position 4 loops are formed number of loops formed in parallel position (MHT CET 2003)

(a) 1

(b) 2

(c) 3

(d) 4

Answer: (b)


A cylindrical tube, open at both ends, has fundamental frequency f in air. The tube is dipped vertically in water so that half of it is in water. The fundamental frequency of the air column is now (C.P.M.T. 80, I.I.T. 81)



(c) f

(d) 3f

Answer: (c)


A sonometer wire is unison with a tuning fork. Keeping the same tension, the length of the wire between the bridges is doubled. The tuning fork can still be in resonance with the wire, provided the wire now vibrates in (PMT MP 89)

(a) 4 segments

(b) 6 segments

(c) 3 segments

(d) 2 segments

Answer: (d)


In a stationary wave every particle performs

(a) a S.H.M. at all points of the medium

(b) a S.H.M. at all points except nodal points

(c) a S.H.M. at all points except the antinodes points

(d) a S.H.M. of constant amplitude

Answer: (b)


A tuning fork vibrating with a sonometer having 20 cm wire produces 5 beats per second. The beat frequency does not change if the length of the wire is changed to 2 l cm. the frequency of the tuning fork (in Hz) must be

(MNR 91)

(a) 200

(b) 210

(c) 205

(d) 215

Answer: (c)


A tuning fork of frequency of 500 c/s is sounded on resonance tube. the first and second resonance are obtained at 17 cm and 50 cm. the velocity of sound in m/sec is (CPMT 76)

(a) 170

(b) 350

(c) 520

(d) 850

Answer: (b)


In a stationary wave (ORISSA-J.E.E. 89)

(a) All the particles of the medium vibrate in phase

(b) All the particles of antinodes vibrate in phase

(c) The particles in successive antinodes vibrate out of phase

(d) All the particles between consecutive antinodes vibrate in phase

Answer: (c)