A sound wave has a frequency of 684 Hz in air and a wavelength of 0.53 m. What is the temperature of the air? Assume the velocity of sound at 0◦C is 327 m/s. Answer in units of ◦C.

The temperature of air is 335.52 K or 62.52° C

Explanation:

First, we calculate the speed of sound wave at the temperature 'T'. We know that:

v = f λ

where,

v = speed of sound at temperature T

f = frequency of sound at Temperature T = 684 Hz

λ = wavelength of sound at temperature T = 0.53 m

Therefore,

v = (684 Hz)(0.53 m)

v = 362.52 m/s

Now, the speed of sound at any temperature, T, is given by the formula:

V = Vo√(T/273)

T = (273)(V² /Vo²)

where,

Vo = speed of sound at 0° C = 327 m/s

Therefore,

T = (273)(362.52/327)²

T = 335.52 K = 62.52° C

a high pressure system is a dense air mass that is usually cooler and drier than the surrounding air. a low pressure system is a less dense air mass that is usually wetter and warmer than the surrounding air.

in general, areas that experience high atmospheric pressure also experience fair weather. low pressure systems can cause the formation of clouds and storms. air usually flows from areas of high pressure to areas of low pressure..