The speed of sound in air is given by the formula:
v = fλ
where v is the speed of sound, f is the frequency, and λ is the wavelength.
Rearranging the formula to solve for v, we get:
v = fλ
v = (536 Hz)(1.10 m)
v = 589.6 m/s
The speed of sound is also related to the air temperature (T) through the following formula:
v = 331.5 + 0.6T
where v is the speed of sound in m/s and T is the air temperature in degrees Celsius.
Rearranging the formula to solve for T, we get:
T = (v - 331.5) / 0.6
Substituting the calculated speed of sound, we get:
T = (589.6 m/s - 331.5) / 0.6
T = 446 degrees Celsius
Therefore, the air temperature is 446 degrees Celsius. However, this temperature is higher than the maximum temperature at which air can exist, which is around 2000 degrees Celsius. Therefore, there must be an error in the calculation, and the correct answer is not possible to determine with the given information.