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Physics

Equal volumes of water are added to three cylindrical jars A, B and C of same height and radii rA, rB and rC respectively with rB < rA < rC. If you blow air into the mouth of these jars, which tube will produce the shrillest note?

  1. A
  2. B
  3. C
  4. All will produce the notes of same shrillness

Sound

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Answer

B

Reason — When air is blown across the mouth of a jar, the pitch of the sound depends on the length of the air column above the water. A shorter air column produces a higher-pitched (shriller) sound, while a longer air column produces a lower pitch.

As, volume of a cylindrical jar is given by,

Volume = πr2h

Where r is the radius and h is the height of the jar and since equal volumes of water are poured into jars with radii rB < rA < rC, the jar with the smallest radius (B) will have the greatest height of water, leaving the shortest air column.

Therefore, jar B produces the shrillest note.

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