Class XI

Two sinusoidal waves on the same string exhibit interference, adding or cancelling according to the principle of superposition. If the two are travelling in the same direction and have the same amplitude a and frequency but differ in phase by a phase constant φφ, the result is a single wave with the same frequency ωω :If φφ = 0 or an integral multiple of 2 ππ ,
  1. the waves are exactly out of phase and the interference is desstructive.
  2. the waves are exactly in phase and the interference is constructive.
  3. the waves are exactly in phase and the interference is destructive.
  4. the waves are exactly out of phase and the interference is constructive.
A stretched string fixed at both ends has n nodes then the length of string in terms of wavelength is
  1. (n + 1) λ2
  2. (n - 1) λ2
  3. (2n - 1) λ2
  4. n λ2
The quantity similar to extension or compression of the spring in sound wave propagation (air) is
  1. the change in air composition
  2. the change in air particles
  3. the change in air humidity
  4. the change in air density
56 tuning forks are arranged in a series that each fork gives 4 beats/sec, with the previous one. The frequency of last fork is 3 times that of first. Then frequency of first fork is
  1. 60 Hz
  2. 52 Hz
  3. 110 Hz
  4. 110 Hz
Two waves represented by Y1Y1 = a1a1 sin wt and Y2Y2 = a2a2 cos wt are superimposed at a point at a particular instant. The amplitude of resultant wave is
  1. a1+a2
  2. a21+a22−−−−−−√
  3. a1−a2
  4. a21−a22−−−−−−√
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