Answer:
700 m.
Explanation:
Wavelength: This can be defined as the distance in meter required by a wave to complete one oscillation. The S.I unit of of wavelength is meter (m).
the expression connecting velocity, frequency and wavelength is given as,
v = λf......................... Equation 1
Where v = velocity of the earthquake, λ = wavelength of the earthquake, f = frequency of the earthquake.
make λ the subject of the equation
λ = v/f ................. Equation 2
recall,
v = distance/time
v = d/t ................. Equation 2
Where d = distance, t -= time.
Given: d = 84 km = 84000 m, t = 12 s.
Substitute into equation 2
v = 84000/12
v = 7000 m/s.
Also given: f = 10 Hz.
Substitute into equation 2
λ = 7000/10
λ = 700 m.
Hence the wavelength of the earthquake = 700 m.
