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The earth has a radius of 6400km. The in...

The earth has a radius of 6400km. The inner core of 1000 km radius is solid. Outside it, there is a region from 1000 km to a radius of 3500km which is in molten state. Then again from 3500km to 6400 km, the earth is solid. Only longitudinal (P) waves can travel inside a liquid. Assume that the P wave has a speed of `8kms^(-1)` in solid parts and of `5kms^(-1)` in liquid parts of the earth. Calculate the time after which it will be recorded in a seismometer at a diametrically opposite point on earth if wave travels along diameter.

Text Solution

Verified by Experts

Speed of wave =8 km/s

Speed of wave in liquid =5 km/s
Required time `=[(1000)/(5)+(3500-1000)/(5)+(6400-3500)/(8)]xx2" " [ :. "diameter =radius"xx2]`
`" " =[(1000)/(8)+(2500)/(5)+(2900)/(8)]xx2" " ["time"=("distance")/("speed")]`
As we are considering at diametrically opposite point, hence there is a multiplication of 2.
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Knowledge Check

  • The radius of the earth is 6400 km, the order of magnitude is

    A
    `10^(7)`m
    B
    `10^(4)`m
    C
    `10^(3)`m
    D
    `10^(2)m`
  • The earth is a solid sphere of radius 6400 km, the value of acceleration due to gravity at a height 800 km above the surface of the earth is

    A
    `5.35m//s^(2)`
    B
    `6.35m//s^(2)`
    C
    `7.35m//s^(2)`
    D
    `8.35m//s^(2)`
  • If the TV telecast is to cover a radius of 120 km ( Given , the radius of the earth = 6400 km ), the height of the transmitting antenna is

    A
    1280 m
    B
    1125 m
    C
    1560 m
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