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Question

The masses of the Earth's crust, its mantle and core are in the ratio 7: 690: 303. Then their contributions to the Earth's gravity field will be in the ratio

The correct answer is

 7: 690: 303

Understanding Earth's Gravity Field Mass Ratio

The question provides the mass ratio of the Earth's major layers: Crust : Mantle : Core = 7 : 690 : 303.

The contribution of any component to the Earth's overall gravity field is fundamentally related to its mass. In the absence of specific information about the location or context for calculating the field (e.g., surface gravity vs. internal field), the most direct interpretation is that the contribution is proportional to the mass itself.

Gravity Field Contribution Principle

Gravitational field strength is directly proportional to the mass creating the field. Therefore, the ratio of contributions to the gravity field by different parts of the Earth will directly reflect the ratio of their masses.

Determining the Contribution Ratio

  • Given Mass Ratio (Crust : Mantle : Core) = $7 : 690 : 303$
  • Principle: Contribution to gravity field $\propto$ Mass
  • Therefore, Contribution Ratio (Crust : Mantle : Core) = Mass Ratio
  • Contribution Ratio = $7 : 690 : 303$

This matches the ratio provided for the masses.

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Important Questions from Gross Composition

  1. The crust forming processes concentrate
  2. Which one of the following represents the correct increasing order of abundance in the Earth’s crust?

  3. The relative abundance of elements, in decreasing order, in the Earth is
  4. Which of the following sets represents mechanical layering of the Earth from the surface to the centre?
  5. In the Earth's interior, the increase of P-wave velocity at 670 km discontinuity is caused by phase transition from
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