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

Question

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

Philoid · Accepted Answer

Given:
The fundamental frequency of a closed pipe is 293 Hz. Let this be represented by .
Temperature of the air in closed pipe = 20°C = 20 + 273 = 293 K

Let be the frequency in the closed pipe when the temperature of the air is .

∴ = 22°C = 22 + 273 = 295 K

Relation between and :

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

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