Department of Pre-University Education, KarnatakaPUC Karnataka Science Class 11
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The Fundamental Frequency of a Closed Pipe is 293 Hz When the Air in It is a Temperature of 20°C. - Physics

Sum

The fundamental frequency of a closed pipe is 293 Hz when the air in it is a temperature of 20°C. What will be its fundamental frequency when the temperature changes to 22°C?

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Solution

Given:
The fundamental frequency of a closed pipe is 293 Hz. Let this be represented by f1.
Temperature of the air in closed pipe T1 = 20°C = 20 + 273 = 293 K
Let f2 be the frequency in the closed pipe when the temperature of the air is T2 .
∴​ T= 22°C = 22 + 273 = 295 K

Relation between f and T : \[f \propto \sqrt{T}\]

\[\frac{f_1}{f_2} = \frac{\sqrt{T_1}}{\sqrt{T_2}}\] 

\[ \Rightarrow   \frac{293}{f_2} = \frac{\sqrt{293}}{\sqrt{295}}\] 

\[ \Rightarrow    f_2  = \frac{293 \times \sqrt{295}}{\sqrt{293}} = 294  \text { Hz }\]

Concept: Wave Motion
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APPEARS IN

HC Verma Class 11, 12 Concepts of Physics 1
Chapter 16 Sound Waves
Q 53 | Page 356
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