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Question

The average density of the earth


A

The complex function of g

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B

Does not depend on g

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C

Inversely proportional to g

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D

Directly proportional to g

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Solution

The correct option is D

Directly proportional to g


Step 1: Given information

We know,

Mass of the earth =5.97×1024kg

The radius of the earth =6.37×106m

The volume of a sphere,

V=43×π×r3

Step 2: To find

We have to determine the average density of the earth.

Step 3: Calculation

Let us consider,

g=GMR2=×VR2=×43πR2R2=43ρπG

Therefore, the average density of the earth is directly proportional to g.


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