To determine the speed of sound in air at a given temperature, we use a standard formula that relates the speed of sound [tex]\( v \)[/tex] in air to the temperature [tex]\( T \)[/tex] in degrees Celsius:
[tex]\[ v = 331.4 + 0.6 \times T \][/tex]
In this particular situation, the atmospheric temperature is given as 15°C. We can substitute this value into our formula to calculate the speed of sound:
[tex]\[ v = 331.4 + 0.6 \times 15 \][/tex]
When we perform the multiplication:
[tex]\[ 0.6 \times 15 = 9 \][/tex]
Next, we add this result to 331.4:
[tex]\[ v = 331.4 + 9 = 340.4 \][/tex]
Therefore, the speed of sound at 15°C is 340.4 meters per second. Among the given options, the closest value is 340 meters per second.
So, the correct answer is:
A. 340 meters/second
