Question

The fundamental frequency of an organ pipe, closed at one end, is 255.6 Hz.

a)What is the fundamental frequency of this organ pipe if the temperature drops to 1.20°C? (Hz)

The fundamental frequency of an organ pipe, open at both ends, is 278.9 Hz.

b) What is the fundamental frequency of this organ pipe if the temperature drops to 1.00°C?

Answer 1

Note :- here throughout the question we have to assume the temperature of the air is 293K

Q1.

Here we have given that,

The fundamental frequency of an organ pipe, closed at one end, is 255.6 Hz.

a)

So that fo the fundamental frequency of this organ pipe if the temperature drops to 1.20°C? (Hz) will be related as,

V2 = V1 (T2/T1)^0.5

V2 = 255.6 × (274.2/293)^0.5

V2 = (247.26392824592) Hz

Q2.

Here we have given that,

The fundamental frequency of an organ pipe, open at both ends, is 278.9 Hz.

b) so that for the fundamental frequency of this organ pipe if the temperature drops to 1.00°C

V2 = V1 (T2/T1)^0.5

V2 = 278.9 × (274/93)^0.5

V = (269.70561337124) Hz