JEE Main 2016PhysicsLaws of MotionHardMCQ

JEE Main 2016 — Laws of Motion Question with Solution

JEE Main 2016 (09 Apr Online)

Question

Which of the following option correctly describes the variation of the speed υ and acceleration 'a' of a point mass falling vertically in a viscous medium that applies a force F=-kυ , where 'k' is a constant, on the body? (Graphs are schematic and not drown to scale)

Choose an option

Show full solutionCorrect option: C
Correct answer
C

Step-by-step explanation

a = (g - α v)

dv dt = g - α v

∫0vdvg-αv=∫0tdt⇒ℓng-αvg=-αt

v=v01-e-αta=dvdt=v0αe-αt=a0e-αt

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About this question

This is a previous-year question from JEE Main 2016, covering the Laws of Motion chapter of Physics. PrepSharp catalogues every PYQ from JEE Main with a verified answer key and step-by-step solution prepared by IIT alumni — so you can search by chapter, topic or year and revise efficiently.