Final answer:
The statement that two waves can have identical PRFs with different periods is false because PRF is the inverse of period. Statements about wave superposition, standing waves, wave-particle duality, and wave propagation have also been assessed for accuracy.
Step-by-step explanation:
The statement "Two waves can have identical PRFs even if their periods are different." is false. The Pulse Repetition Frequency (PRF) is essentially the reciprocal of the period. So, if two waves have different periods, they cannot have the same PRF. The PRF is defined as the number of pulses that occur per second, and if the period of a wave is the duration of one complete cycle of the wave, then having different periods implies different PRFs.
Assessment of Other Statements
- Statement 56: Waves can superimpose if their frequencies are different. - True
- Statement 58: The amplitude of one wave is affected by the amplitude of another wave only when they are precisely aligned. - False
- Statement 60: A standing wave is a superposition of two identical waves that are in phase and propagating in the same direction. - False
- Statement 9: The amplitudes of waves add up only if they are propagating in the same line. - False
- Statement 26: Wave-particle duality exists for objects on the macroscopic scale. - False
- Statement 4: A pebble dropped in water is an example of a pulse wave. - True
- Statement 62: Waves propagate faster in a less dense medium if the stiffness is the same. - True
- Statement 42: The amplitudes of two waves get added when they are propagating along the same line in opposite directions. - True
- Under the conditions where two waves are in phase at integer multiples of half of a period, the result is a wave that is twice the amplitude of the individual waves. - This illustrates constructive interference.