Question

If the density of earth varies as ρ(r) = A – Br. Then find the value of g(r) inside the earth.

• A.
• B. $\frac { 4 } { 3 } \pi \mathrm { GR } \left( \mathrm { A } - \frac { 3 } { 4 } \mathrm { Br } \right)$
• C. $4 \pi \mathrm { G } \left( \mathrm { Ar } - \frac { \mathrm { Br } ^ { 2 } } { 2 } \right)$
• D. None

Answer 1

Answer: (B)

$\frac { 4 } { 3 } \pi \mathrm { GR } \left( \mathrm { A } - \frac { 3 } { 4 } \mathrm { Br } \right)$

Answer 2

g =

=

= $\frac { 4 \pi \mathrm { GR } } { 3 } \left( \mathrm {~A} - \frac { 3 } { 4 } \mathrm { Br } \right)$.