two strings A and string B playing the note 'Ga' are slightly out of tune and produce beats of frequency 6Hz. The tension in the string A is slightly reduced and the beat frequency is found to reduce to 3Hz. if the original frequency of A is 324 Hz what is the frequency of B?
 

Asked by sammy123 | 21st Mar, 2015, 04:26: PM

Expert Answer:

begin mathsize 12px style The space original space frequency space of space straight A space equals space 324 space Hz Beat space of space frequency space produced space by space the space strings space straight A space and space straight B space space equals space 6 space Hz Hence comma space the space probable space frequency space of space the space string space straight B space equals space 324 space plus-or-minus space 6 space equals space 330 space Hz space or space 318 space Hz Since comma space the space tension space in space the space string space straight A space is space slightly space reduced space straight i. straight e. space it space will space become space less space than space 324 space Hz. space Cosidering space that space string space straight B space has space frequency space 330 space Hz comma as space the space tension space in space straight A space is space reduced space its space beat space frequency space would space increase space to space greater space than space 6 space Hz. But space we space know space that space the space beat space frequency space is space found space to space reduce space to space 3 space Hz space so space the space frequency space of space straight B space need space not space to space be space 330 space Hz. Therefore comma space frequency space of space string space straight B space has space to space be space 318 space Hz. space end style

Answered by Priyanka Kumbhar | 22nd Mar, 2015, 04:47: PM

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