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Work Power and Energy question

2025 · 29 Jan · Shift 2 · Q56
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Work Power and Energy question

2025 · 29 Jan · Shift 2 · Q56

JEE MainPhysicsWork Power and EnergyMCQ+4 / −1
A sand dropper drops sand of mass m(t) on a conveyer belt at a rate proportional to the square root of speed (v) of the belt, i.e., dmdt∝v\frac{dm}{dt} \propto \sqrt{v}dtdm​∝v​. If P is the power delivered to run the belt at constant speed then which of the following relationship is true?
  1. A
    P ∝v\propto \sqrt{v}∝v​
  2. B
    P ∝v\propto v∝v
  3. C
    P2∝v3P^2 \propto v^3P2∝v3
  4. D
    P2∝v5P^2 \propto v^5P2∝v5
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