Answered

the radius of the earth is 6380 km. suppose scientists measure the speed of sound in the earth's interior to be 8000 m/s. if a long wave is sent into the earth, with half-wavelength equal to the diameter of the earth, what is the period of the wave in minutes ?



Answer :

MathPhys

Answer:

26.6 min

Explanation:

The speed of a wave is equal to the frequency (number of waves per second) times the wavelength (length of the wave). The period of a wave (seconds per wave) is the inverse of the frequency.

v = fλ

8000 m/s = f (2 × 6.38×10⁶ m)

f = 6.27×10⁻⁴ Hz

T = 1/f

T = 1 / (6.27×10⁻⁴ Hz)

T = 1595 s

T ≈ 26.6 min