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Waves

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Question 4

An underwater sound wave is incident on a small circular hydrophone port of a marine research probe.

The displacement amplitude of the sound wave is 15 pm15\text{ pm}15 pm. The intensity of the sound at the port is 8.5×10−8 W m−28.5 \times 10^{-8}\text{ W m}^{-2}8.5×10−8 W m−2.

a.

Determine the power of the sound wave incident at the hydrophone port by estimating the diameter of the circular port in mm\text{mm}mm.

diameter of port≈………………………… mm \text{diameter of port} \approx \dots\dots\dots\dots\dots\dots\dots\dots\dots\dots\text{ mm} diameter of port≈………………………… mm power=………………………… W \text{power} = \dots\dots\dots\dots\dots\dots\dots\dots\dots\dots\text{ W} power=………………………… W
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b.

A different underwater sound wave is now incident on the port. The intensity of this wave is 7.65×10−7 W m−27.65 \times 10^{-7}\text{ W m}^{-2}7.65×10−7 W m−2.

Calculate the amplitude AAA in pm\text{pm}pm of this sound wave.

A=………………………… pm A = \dots\dots\dots\dots\dots\dots\dots\dots\dots\dots\text{ pm} A=………………………… pm
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c.

State the principle of superposition.

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d.

The diagram below shows monochromatic light of frequency 4.80×1014 Hz4.80 \times 10^{14}\text{ Hz}4.80×1014 Hz from a laser incident normally on a double-slit.

Experimental setup showing laser light incident on a double-slit with a motorized light sensor moving along a track

A small light sensor is mounted on a motorized stage. The sensor travels along the track at a constant speed of 5.0 mm s−15.0\text{ mm s}^{-1}5.0 mm s−1.

The separation between the slits is 0.20 mm0.20\text{ mm}0.20 mm. The perpendicular distance between the slits and the track is 4.0 m4.0\text{ m}4.0 m.

A series of bright and dark fringes are detected by the moving light sensor.

Explain, in terms of phase difference, the origin of the fringes.

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e.

Calculate the time interval ttt between successive bright fringes to the detector. Write your answer to 2 significant figures.

t=………………………… s t = \dots\dots\dots\dots\dots\dots\dots\dots\dots\dots\text{ s} t=………………………… s
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Waves Questions

  1. A Level
  2. /Physics
  3. /Waves