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Properties of Matter question

2020 · 8 Jan · Shift 1 · Q45
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Properties of Matter question

2020 · 8 Jan · Shift 1 · Q45

JEE MainPhysicsProperties of MatterMCQ+4 / −1
Consider a solid sphere of radius R and mass density ρ(r)=ρ0(1−r2R2)\rho \left( r \right) = {\rho _0}\left( {1 - {{{r^2}} \over {{R^2}}}} \right)ρ(r)=ρ0​(1−R2r2​), 0<r≤R0 \lt r \le R0<r≤R The minimum density of a liquid in which it will float is :
  1. A
    2ρ03{{2{\rho _0}} \over 3}32ρ0​​
  2. B
    2ρ05{{2{\rho _0}} \over 5}52ρ0​​
  3. C
    ρ05{{{\rho _0}} \over 5}5ρ0​​
  4. D
    ρ03{{{\rho _0}} \over 3}3ρ0​​
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