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
C
D
Text Solution
Verified by ExpertsThe correct answer is:
CHECK THE SOLUTION.
(b, c)
Sol. Gravitative field at a distance r
= 
= 
Consider a small patch of width dr at a distance r
– dP. Δ A = 
G πρ r Δ A dr. ρ
–P = 
P = 
P = c (R 2 – r 2 )
r = 
, P 1 = 
= c 
r = 
, P 2 = c 
= 
r = 
, P 3 = 
= 
r = 
, R 4 = 
= 
= 
r = R P 5 = 
= 
r = 
P 6 = 
= 
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