A large volcanic eruption triggers a tsunami. At a seismic station 250 km away, the instruments...

Question:

A large volcanic eruption triggers a tsunami. At a seismic station 250 km away, the instruments record that the time difference between the arrival of the tidal wave and the arrival of the sound of the explosion is 9.25 min. Tsunamis typically travel at approximately 800 km/h. (Use 343 m/s for the speed of sound in air. Use 2.00 x 10{eq}^{9} {/eq} Pa and 1000 kg/m{eq}^{3} {/eq} as the bulk modulus of water and the density of water, respectively.) (a) Which sound arrives first, the sound in the air or in the water? (b) How long after the explosion does it take for the first sound wave to reach the seismic station? (c) How long after the explosion does it take for the tsunami to reach the seismic station?

Speed of Sound in a Medium

Sound is wave and it travels in air, fluids and solids as a longitudinal wave but in solids it can travel as transverse wave also. Its speed in medium is proportional to the square root of the modulus of elasticity of the medium and inversely proportional to the square root of the density of the medium. So its speed can be expressed as {eq}v = \sqrt { \dfrac { K } { \rho } } {/eq}. Here {eq}K , \ \ \rho {/eq} are the modulus of elasticity and density of the medium. In the case of air medium, the modulus of elasticity replaced with the product of pressure of the air and adiabatic constant.

Answer and Explanation: 1

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Given points

  • Distance of the seismic station form the point of volcanic eruption s = 250 km
  • The time difference in arrival of the tidal waves and...

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