b) As the head of the Students' Wing of the RWA of your colony, you have been assigned the
responsibility of organising an
Award Function to Felicitate the students of Classes X and XII of
your colony who have scored more than 90 per cent marks in the Board Exams. Write a proposal
in about 150 words, stating the steps you would take to successfully organise this function. [10]
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In a certain survey, it was found out that out of 148 first year Criminology students, 97 like to use pilot pen. 56 like to use Faber castel pen and 23 like to use both brands?â
The crest of a Parasaurolophus dinosaur skull is shaped somewhat like a trombone and contains a nasal passage in the form of a long, bent tube open at both ends. The dinosaur may have used the passage to produce sound by setting up the fundamental mode in it. (a) If the nasal passage in a certain Parasaurolophus fossil is 2.0 m long, what frequency would have been produced? (b) If that dinosaur could be recreated (as in Jurassic Park), would a person with a hearing range of 60 Hz to 20 kHz be able to hear that fundamental mode and, if so would the sound be high of low frequency? Fossil skulls that contain shorter nasal passages are thought to be those of the female Parasaurolophus. (c) Would that make the female's fundamental frequency higher or lower than the male's?
SOLUTION
(a) We know that, and , we find
for the fundamental frequency in a nasal passage of length
(subject to various assumptions about the nature of the passage as a "bent tube open at both ends").
(b) The sound would be perceptible as sound (as opposed to just a general vibration) of very low frequency.
(c) Smaller implies larger by the formula cited above. Thus, the female's sound is of higher pitch (frequency).
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A pipe open at both ends has a fundamental frequency f in air. The pipe is dipped vertically in water so that half of it is in water. The fundamental frequency of the air column is now:
A pipe of length is closed at one end. Taking the speed of sound in air as the air column in the pipe cannot resonate for the frequency (in Hz )
The air column here is closed at one end because the surface of water acts as a wall. Which of the following is correct?
Explanation:
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