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Dependence of intensity of gravitational...

Dependence of intensity of gravitational field `(E)` of earth with distance `(r)` from centre of earth is correctly represented by

A

B

C

D

Text Solution

Verified by Experts

The correct Answer is:
A
Intensity of Gravitational field at a point inside the earth is,
vecE_("in")= - (GM r)/(R^(3)) hatr`
or `E_("in") = - (GM r)/(R^(3))`, i.e. `-E_(r) prop r`
and Intensity of Gravitational field at a point outside the earth is,
`vecE_("out")= - (GM)/(r^(2)) hatr` or `E_("out") = - (GM)/(r^(2))`
or `-E_("out") prop (1)/(r^(2))`
the negative sign shown the gravitational force is of attractive nature.
Thus, option (a) is true.
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