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JEE Main 202118 MarchMorning Shift
Exam
JEE Main
Year
2021
Date
18 March
Shift
Morning Shift
Subject
Physics
Chapter
Work, Power and Energy

JEE Main 2021 · 18 March · Morning Shift · Physics · Work, Power and Energy

A constant power delivering machine has towed a box, which was...

A constant power delivering machine has towed a box, which was initially at rest, along a horizontal straight line. The distance moved by the box in time tt is proportional to :-

Options

  1. At23t\dfrac{2}{3}
  2. Bt32t\dfrac{3}{2}
  3. Ctt
  4. Dt12t\dfrac{1}{2}

Correct answer

B. t32t\dfrac{3}{2}

Step-by-step solution

P=C⇒FV=C⇒MdVdtV=CP = C⇒ FV = C⇒ M\dfrac{dV}{dt}V = C
⇒V22∝t⇒ \dfrac{V2}{2} ∝ t
⇒V∝t1/2⇒ V ∝ t^{1 / 2}
⇒dxdt∝t1/2⇒ \dfrac{dx}{dt} ∝ t^{1 / 2}
⇒x∝t3/2⇒ x ∝ t^{3 / 2}
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