17.
A seismograph receivers a S-wave 60s after it receives the P-wave. If
the velocities of P- and S-waves are 7km/s and 6km/s respectively,
then the distance of the seismic focus from the seismograph is
A)
2520 km
B)
42 km
C)
7070 km
D)
72km
Solution:
Formula:
t_s-t_p = D( \frac{1}{V_s} -\frac{1}{V_p}) ----(1)
The difference between S and P –wave is (t_s- t_p) = 60s
Velocity of the P-wave (V_p) = 7 km/s
Velocity of the S-wave (V_s) = 6 km/s
D is the distance from focus to seismograph
Substitute above values in eq(1)
60 = D*(\frac{1}{6}–\frac{1}{7})
60= D*\frac{(7-6)}{42}
60= \frac{D}{42}
D= 60*42
Therefore, (D) = 2520 km
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