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Motion question

2017 · Shift 2 · Q47
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Motion question

2017 · Shift 2 · Q47

JEE AdvancedPhysicsMotionMCQ+3 / −0.75
Consider an expanding sphere of instantaneous radius R whose total mass remains constant. The expansion is such that the instantaneous density ρ\rhoρ remains uniform throughout the volume. The rate of fractional change in density (1ρdρdt)\left( {{1 \over \rho } {{d\rho } \over {dt}}} \right)(ρ1​dtdρ​) is constant. The velocity vvv of any point on the surface of the expanding sphere is proportional to
  1. A
    RRR
  2. B
    R3{R^3}R3
  3. C
    1R{1 \over R}R1​
  4. D
    R2/3{R^{2/3}}R2/3
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