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JEE Main 2020 (3 Sep, Shift 2) · Power

Power question from JEE Main 2020 (3 Sep, Shift 2)

Q30JEE Main 2020 · 3 SEP · SHIFT 2Easy

Power

A particle is moving unidirectionally on a horizontal plane under the action of a constant power supplying energy source. The displacement (s) - time (t) graph that describes the motion of the particle is (graphs are drawn schematically and are not to scale):

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Answer: (b)

tss ∝ t^(3/2)
  1. Constant power gives v∝t1/2v \propto t^{1/2}, so s∝t3/2s \propto t^{3/2}.
  2. s∝t3/2s \propto t^{3/2} starts at the origin, and its slope dsdt∝t1/2\dfrac{ds}{dt} \propto t^{1/2} keeps increasing.
  3. So the graph curves upward (concave up) from the origin.
  4. So the answer is (b).
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