Question

Select One Option Correct from the following :A spherical body of radius R consists of a fluid of constant density and is in equilibrium under its own gravity. If P (r) is the pressure at r(r < R), then the correct option(s) is (are)
(A) P (r = 0) = 0
(B) $\frac{P(r=3 R/4)}{P(r=2 R/3)} =\frac{63}{80}$
(C) $\frac{P(r=3 R/5)}{P(r=2 R/5)} =\frac{16}{21}$
(D) $\frac{P(r=R/2)}{P(r=R/3)} =\frac{20}{27}$

Answer 1

d option is correct.
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Answer 2

Select One Option Correct from the following :A spherical body of radius R consists of a fluid of constant density and is in equilibrium under its own gravity. If P (r) is the pressure at r(r < R), then the correct option(s) is (are)

(A) P (r = 0) = 0

(B) $\frac{P(r=3 R/4)}{P(r=2 R/3)} =\frac{63}{80}$

(C) $\frac{P(r=3 R/5)}{P(r=2 R/5)} =\frac{16}{21}$

✔️ (D) $\frac{P(r=R/2)}{P(r=R/3)} =\frac{20}{27}$