Two cello strings, with the same tension and length, are played simultaneously. their fundamental frequencies produce audible beats with a frequency of 8 hz. the string with the lower pitch (frequency) is tuned to an “a” (a frequency of 220 hz). what is the approximate ratio of the linear mass density μ of the string with the higher pitch to that of the string with the lower pitch?

Explanation:

Let f₁ is the fundamental frequency,

Lower pitch frequency,

Fundamental frequency is, .....(1)

Lower frequency is, ..............(2)

Dividing equation (1) and (2) as :

So, the ratio of  linear mass density μ of the string with the higher pitch to that of the string with the lower pitch is 0.00132. Hence, this is the required solution.

the ima (higher than 1m) will be greater than the ima with the height of 1m.

80cm/s.

24cm/s.

53.3cm/s.