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Properties of Matter question

2015 · Shift 2 · Q42
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Properties of Matter question

2015 · Shift 2 · Q42

JEE AdvancedPhysicsProperties of MatterMultiple correct+4 / −2
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)
  1. A
    P(r=0)=0P(r = 0) = 0P(r=0)=0
  2. B
    P(r=3R/4)P(r=2R/3)=6380{{P(r = 3R/4)} \over {P(r = 2R/3)}} = {{63} \over {80}}P(r=2R/3)P(r=3R/4)​=8063​
  3. C
    P(r=3R/5)P(r=2R/5)=1621{{P(r = 3R/5)} \over {P(r = 2R/5)}} = {{16} \over {21}}P(r=2R/5)P(r=3R/5)​=2116​
  4. D
    P(r=R/2)P(r=R/3)=2027{{P(r = R/2)} \over {P(r = R/3)}} = {{20} \over {27}}P(r=R/3)P(r=R/2)​=2720​
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