To analyze the statements regarding the arrival times of seismic waves at two recording stations (N and S) located at different distances from an earthquake's epicenter, we need to consider how seismic waves travel.
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P-waves (Primary waves) are faster than S-waves (Secondary waves). Therefore, when an earthquake occurs, P-waves will arrive at any given station before S-waves.
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The distance from the epicenter to each station:
- Station N is located 200 km north of the epicenter.
- Station S is located 100 km south of the epicenter.
Now let's evaluate the statements one by one:
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A. At Recording Station S, the S-wave would arrive before the P-wave.
This statement is false as P-waves always arrive before S-waves. -
B. The P-wave would arrive at Station N before it would arrive at Station S.
This statement is false because Station S is closer to the epicenter (100 km vs 200 km). The P-wave will arrive at Station S before Station N. -
C. The value of At at Station N would be greater than At at Station S, so it would take a longer time for the waves to hit Station N.
This statement is true for travel time (At) since Station N is further from the epicenter (200 km compared to 100 km for Station S). Therefore, the time taken for waves to reach Station N will be greater. -
D. The value of At at Station N would be less than At at Station S, so it would take less time for the waves to hit Station N.
This statement is false, as explained above.
The correct statement is C. The value of At at Station N would be greater than At at Station S, so it would take a longer time for the waves to hit Station N.
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