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

the minimum amperage that the current in this wire would have to have so that its weight is completely supported by the magnetic force due to earth's field, assuming that no other forces except gravity act on it

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