Question
Two closed organ pipes when sounded together produced 2.5 beats per second at temperature 300K. Find the number of beats produced in one second at temperature 312.12K.
Solution
Let l1 and l2 be the lengths of two pipes.
The number of beats produced by two pipes when sounded together is,
where,
v be the velocity of sound.
Let v1 and v2 be the velocity of sound at 300K and 312.12K and b1 and b2 be the number of beats produced per second respectively.
Thus,
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, is the number of beats produced in one second at temperature 312.12 K.
The number of beats produced by two pipes when sounded together is,
where,
v be the velocity of sound.
Let v1 and v2 be the velocity of sound at 300K and 312.12K and b1 and b2 be the number of beats produced per second respectively.
Thus,
, is the number of beats produced in one second at temperature 312.12 K.
