Final answer:
The period of a sound wave with a wavelength of 1.5 m in air can be found by first calculating the frequency using the formula f = v/λ, where v is the speed of sound and λ is the wavelength. Once the frequency is found, the period can be calculated using T = 1/f. In this case, the period is 4.35 s.
Step-by-step explanation:
The period of a sound wave is the time it takes for one complete oscillation or cycle. To find the period of a sound wave in air, we can use the formula T = 1/f, where T is the period and f is the frequency. However, in this case, the frequency is not given, only the wavelength. To find the period, we need to find the frequency first.
The formula to calculate the frequency of a sound wave is: f = v/λ, where f is the frequency, v is the velocity or speed of sound, and λ is the wavelength. In air at room temperature, the speed of sound is approximately 343 m/s. Plugging in the given wavelength of 1.5 m into the formula, we can calculate the frequency as:
f = 343 m/s / 1.5 m = 228.7 Hz
Now that we have the frequency, we can find the period using T = 1/f:
T = 1 / 228.7 Hz = 0.00436 s
Therefore, the correct answer is a) T = 4.35 s.