The Science Inn Academy Larkano                     sounded with a tuning fork of frequency
100 produces one beat, then the
                                                    frequency of the other tuning fork is…
Beats                                               (a) 102     (b) 98     (c) 99    (d) 101
03342015628                                      5. A tuning fork sounded together with a
                                                    tuning fork of frequency 256 emits two
By Faisal Wadho                                     beats. On loading the tuning fork of
                                                    frequency 256, the number of beats heard
1. Two tuning forks when sounded together           are 1 per second. The frequency tuning
   produced 4 beats/sec. The frequency of           fork is…
   one fork is 256. The number of beats             (a) 257 (b) 258 (c) 256 (d) 254
   heard increases when the fork of              6. If two tuning forks A and B are sounded
   frequency 256 is loaded with wax. The            together, they produce 4 beats per second.
   frequency of the other fork is…                  A is then slightly loaded with wax, they
   (a) 504     (b) 520     (c) 260   (d) 252        produce 2 beats when sounded again. The
2. Beats are the result of…                         frequency of A is 256. The frequency of
   (a) Diffraction                                  B will be….
   (b) Destructive interference                     (a) 250 (b) 252 (c) 260 (d) 262
   (c) Constructive       and      destructive   7. The frequencies of two sound sources are
       interference                                 256Hz and 260 Hz. At 𝑡 = 0 , the
   (d) Superposition of two waves of nearly         intensity of sound is maximum. Then the
       equal frequency                              phase difference at the time 𝑡 = 1/16 sec
3. Two adjacent piano keys are struck               will be…
   simultaneously. The notes emitted by             (a) Zero (b) 𝑝 (c) 𝑝/2 (d) 𝑝/4
   them have frequencies 𝑛1 and 𝑛2 . The         8. Two tuning forks have frequencies 450
   number of beats heard per second is…             Hz and 454 Hz respectively. On sounding
     1                       1
  (a) (𝑛1 − 𝑛2 )         (b) (𝑛1 + 𝑛2 )             these forks together, the time interval
     2                       2
                                                    between successive intensities will be…
  (c) (𝑛1 − 𝑛2 )          (d) 2(𝑛1 − 𝑛2 )           (a) 1/4 s (b) 1/2 s (c) 1 s (d) 2 s
                                                 9. When a tuning fork of frequency 341 is
4. A tuning fork of frequency 100 when
                                                    sounded with another tuning fork, six
   sounded together with another tuning fork
                                                    beats per second are heard. When the
   of unknown frequency produces 2 beats
                                                    second tuning fork is loaded with wax
   per second. On loading the tuning fork
                                                    and sounded with the first tuning fork, the
   whose frequency is not known and
                                                    number of beats is two per second. The
  natural frequency of the second tuning         one arm of A is filed, then the number of
  fork is…                                       beats increases. Frequency of A will be…
  (a) 334 (b) 339 (c) 343 (d) 347                (a) 502 (b) 507 (c) 517 (d) 522
10. Two tuning forks of frequencies 256 and    15. The beats are produced by two sound
  258 vibrations/sec are sounded together,       sources of same amplitude and of nearly
  then time interval between consecutive         equal frequencies. The maximum
  maxima heard by the observer is…               intensity of beats will be ….that of one
  (a) 2 s (b) 0.5 s (c) 250 s (d) 252 s          source.
11. A tuning fork gives 5 beats with another     (a) Same (b) Double (c) Four times
  tuning fork of frequency 100 Hz. When              (d) Eight times
  the first tuning fork is loaded with wax,    16. Beats are produced by two waves given
  then the number of beats remains               by      𝑦1 = 𝑎 sin 2000𝜋𝑡     and    𝑦2 =
  unchanged, then what will be the               𝑎 sin 2008𝜋𝑡. The number of beats heard
  frequency of the first tuning fork….           per second is…
  (a) 95Hz (b) 100Hz (c) 105Hz (d) 110Hz         (a) Zero (b) One (c) Four (d) Eight
12. Tuning fork 𝐹1 has a frequency of 256      17. A tuning fork whose frequency as given
  Hz and it is observed to produce 6 beats/s     by manufacturer is 512 Hz is being tested
  with another tuning fork 𝐹2 . When 𝐹2 is       with an accurate oscillator. It is found
  loaded with wax, it still produces 6           that the fork produces a beat of 2Hz when
  beats/s with 𝐹1 . The frequency of 𝐹2          oscillator reads 514 Hz but produces a
  before loading was…                            beat of 6 Hz when oscillator reads 510
  (a) 253Hz (b) 262Hz (c) 250Hz (d)259Hz         Hz. The actual frequency of fork is…
13. A tuning fork and a Sonometer wire           (a) 508 Hz            (b) 512Hz
  were sounded together and produces 4
                                                 (c) 516 Hz             (d) 518 Hz
  beats/s. When the length of sonometer
  wire is 95 cm or 100 cm, the frequency of    18. A tuning fork of frequency 480 Hz
  the tuninf fork is…                            produces 10 beats per second when
  (a) 156 Hz           (b) 152 Hz                sounded with a vibrating sonometer
                                                 string. What must have been the
  (c) 148 Hz         (d) 160 Hz
                                                 frequency of the string if a slight increase
14. Two tuning forks A and B vibrating           in tension produces lesser beats per
  simultaneously   produce      5    beats.      second than before…
  Frequency of B is 512. It is seen that if      (a) 460 Hz             (b) 470 Hz
                                                 (c) 480 Hz              (d) 490 Hz
19. When a tuning fork A of unknown            23. A tuning fork A of frequency 200 Hz is
  frequency is sounded with another tuning       sounded with fork B, the number of beats
  fork B of frequency 256 Hz, then 3 beats       per second is 5. By putting some wax on
  per second are observed. After that A is       A, the number of beats increases to 8.
  loaded with wax and sounded, the again 3       The frequency of fork B is…
  beats per second are observed. The             (a) 200 Hz             (b) 195 Hz
  frequency of the tuning fork A is…
                                                 (c) 192 Hz            (d) 205 Hz
  (a) 250 Hz            (b) 253 Hz
                                               24. Two tuning forks, A and B, give 4 beats
  (c) 259 Hz             (d) 262 Hz
                                                 per second when sounded together. The
20. A source of sound gives five beats per       frequency of A is 320 Hz. When some
  second when        sounded with another        wax is added to B and it is sounded with
  source of frequency 100𝑠 −1. The second        A, 4 beats per second are again heard.
  harmonic source of the source together         The frequency of B is…
  with a source of frequency 205 𝑠 −1, gives     (a) 312 Hz            (b) 316 Hz
  five beats per second. What is the
                                                 (c) 324 Hz            (d) 328 Hz
  frequency of the source?
  (a) 105 𝑠 −1            (b) 205 𝑠 −1         25. Two tuning forks have frequencies 380
                                                 and 384 Hz respectively. When they are
  (c) 95 𝑠 −1            (d) 100 𝑠 −1
                                                 sounded together, they produce 4 beats,
21. When     two     sound      waves   are      After hearing the maximum sound, how
  superimposed, beats are produced when          long will it take to hear the minimum
  they have…                                     sound….
  (a) Different amplitudes and phases            (a) 1/2 s            (b) 1/4 s
  (b) Different velocities
                                                 (c) 1/8 s             (d) 1/16 s
  (c) Different phases
  (d) Different frequencies                    26. Beats are produced with the help of two
22. Two tuning fork A and B give 4 beats         sound waves of amplitudes 3 and 5 units.
  per second. The frequency of A is 256          The ratio of maximum to minimum
  Hz. On loading B slightly, we get 5 beats      intensity in the beats is….
  in 2 seconds. The frequency of B after         (a) 2:1 (b) 5:3 (c) 4 :1 (d) 16 :1
  loading is …                                 27. Two waves of lengths 50 cm and 51 cm
  (a) 253.5 Hz             (b) 258.5 Hz          produced 12 beats per second. The
                                                 velocity of sound is…
  (c) 260 Hz               (d) 252 HZ
  (a) 306 m/s      (b) 331 m/s                   (a) 10 (b) 4 (c) 20 (d) 6
                                               34. Two sound waves of slightly different
  (c) 340 m/s      (d) 360 m/s
                                                 frequencies propagating in the same
28. Two waves 𝑦 = 0.25 sin 316𝑡 and 𝑦 =          direction produce beats due to…
  0.25 sin 310𝑡 are travelling in same           (a) Interference
  direction. The number of beats produced        (b) Diffraction
  per second will be….                           (c) Polarization
  (a) 6 (b) 3 (c) 3/p         (d) 3 p            (d) Refraction
29. The couple of tuning forks produces 2      35. On sounding tuning fork A with another
  beats in the time interval of 0.4 seconds.     tuning fork B of frequency 384 Hz, 6
  so the beat frequency is…                      beats are produced per second. After
  (a) 8 Hz            (b) 5 Hz                   loading the prongs of A with some wax
                                                 and then sounding it again with B, 4 beats
  (c) 2 Hz            (d) 10 Hz                  are produced per second. What is the
30. An unknown frequency x produces 8            frequency of the tuning fork A…
  beats per seconds with a frequency of          (a) 388 Hz        (b) 380 Hz
  250Hz and 12 beats with 270 Hz source,         (c) 378 Hz        (d) 390 Hz
  then x is….
  (a) 258 Hz         (b) 242 Hz                36. It is possible to hear beats from the two
                                                 vibrating sources of frequency…
  (c) 262 Hz            (d) 282 Hz               (a) 100 Hz and 150 Hz
31. Beats are produced by two waves 𝑦1 =         (b) 20 Hz and 25 Hz
  𝑎 sin 1000𝜋𝑡 , 𝑦2 = 𝑎 sin 998𝜋𝑡 . The          (c) 400 Hz and 500 Hz
  number of beats heard/sec is…                  (d) 1000 Hz and 1500 Hz
  (a) 0      (b) 2     (c) 1    (d) 4          37. A tuning fork gives 4 beats with 50 cm
32. The wavelength of two waves are 50 and       length of a sonometer wire. If the length
  51 cm respectively. If the temperature of      of the wire is shortened by 1 cm, the
  the room is 200 𝐶, then what will be the       number of beats is still the same. The
  number of beats produced per second by         frequency of the fork is…
  these waves, when the speed of sound at        (a) 396 (b) 400 (c) 404 (d) 384
  00 𝐶 332 m/s ….                              38. Two sound waves of wavelengths 5m
  (a) 14 (b) 10 (c) 24 (d) N.O.T                 and 6 m formed 30 beats in 3 seconds.
33. Maximum number of beats frequency            The velocity of sound is…
  heard by a human being is…                     (a) 300 𝑚𝑠 −1          (b) 310 𝑚𝑠 −1
  (c) 320 𝑚𝑠 −1       (d) 330 𝑚𝑠 −1              (c) 256− 2 Hz
                                                 (d) 256− 5Hz
39. The wavelength of a particle is 99 cm
                                               44. When temperature increases,          the
  and that of other is 100 cm. Speed of
                                                 frequency of a tuning fork….
  sound is 396 m/s. The number of beats
                                                 (a) Increases         (b) Decreases
  heard is…
  (a) 4       (b) 5     (c) 1      (d) 8         (c) Remains same        (d) Increases or
40. A tuning fork arrangement (pair)             Decreases depending on the material
  produces 4beats/s with one fork of
                                               45. Two strings X and Y of a sitar produce a
  frequency 288 cps. A little wax is placed
                                                 beat frequency 4 Hz. When the tension of
  on the unknown fork and it then produces
                                                 the string Y is slightly increased the beat
  2beats/s. The frequency of the unknown
                                                 frequency is found to be 2 Hz. If the
  fork is…
                                                 frequency of X is 300 Hz, then the
  (a) 286 cps (b) 292 cps (c) 294 cps (d)
                                                 original frequency of Y was….
      288 cps
                                                 (a) 296 Hz               (b) 298 Hz
41. A tuning fork vibrates with 2beats in
  0.04second. The frequency of the fork          (c) 302 Hz               (d) 304 Hz
  is…
  (a) 50 Hz (b) 100 Hz (c) 80 Hz (d)           46. The frequency of tuning forks A and B
      none                                       are respectively 3% more and 2% less
42. Two sound sources when sounded               than the frequency of tuning fork C. when
  simultaneously produce four beats in           A and B are simultaneously excited, 5
                                                 beats per second are produced. Then the
  0.25second. The difference in their
  frequencies must be….                          frequency of the tuning fork A (in Hz)
  (a) 4 (b) 8 (c) 16 (d) 1                       is…
43. A tuning fork of known frequency 256         (a) 98 (b) 100 (c) 103 (d) 105
  Hz makes 5 beats per second with the         47. When a tuning fork vibrates, the waves
  vibrating string of a piano. The beat          produced in the fork are….
                                                 (a) Longitudinal
  frequency decreases to 2 beats per second
                                                 (b) Transverse
  when the tension in the piano string is
                                                 (c) Progressive
  slightly increased. The frequency of the
  piano string before increasing the tension     (d) Stationary
  was…                                         48. Two vibrating tuning forks produce
  (a) 256 + 5 Hz                                 progressive waves given by 𝑦1 =
  (b) 256 + 2 Hz                                 4 sin 500𝜋𝑡 , and 𝑦2 = 2 sin 506𝜋𝑡 ,
  Number of beats produced per minute
  is…
  (a) 360 (b) 180 (c) 3 (d) 60
49. When a tuning fork produces sound
  waves in air, which one of the following
  is same in the material of tuning fork as
  well as in air…
  (a) Wavelength           (b) Frequency
  (c) Velocity             (d) Amplitude
50. The disc of a siren containing 60holes
  rotates at a constant speed 460 rpm. The
  emitted sound is in unison with a tuning
  fork of frequency….
  (a) 10 Hz                 (b) 360 Hz
  (c) 216 Hz               (d) 6 Hz
                   Answer Key OF BEATS TEST MSCQs
1.   C   11.   C          21.      D         31.    C   41.   A
2.   D   12.   B          22.      C         32.    A   42.   C
3.   C   13.   A          23.      D         33.    A   43.   D
4.   A   14.   C          24.      C         34.    A   44.   B
5.   D   15.   C          25.      C         35.    D   45.   A
6.   B   16.   C          26.      D         36.    B   46.   C
7.   C   17.   C          27.      A         37.    A   47.   A
8.   A   18.   B          28.      C         38.    A   48.   B
9.   D   19.   C          29.      B         39     A   49.   B
10   B   20.   A          30.      A         40.    B   50.   B