JEE Main 2016PhysicsMechanical Properties of SolidsHardMCQ

JEE Main 2016 — Mechanical Properties of Solids Question with Solution

JEE Main 2016 (10 Apr Online)

Question

A bottle has an opening of radius a and length b. A cork of length b and radius a+∆a where ∆a≪a, is compressed to fit into the opening completely (see figure). If the bulk modulus of cork is B and the coefficient of friction between the bottle and cork is μ, then the force needed to push the cork into the bottle is

Choose an option

Show full solutionCorrect option: D
Correct answer
D4πμBb∆a

Step-by-step explanation

Pressure=NA=N2πab

⇒   stress=B×strain 

N2πab=B2πa∆a×b πa2b

⇒N=B4πb△a

f=μN=μ4πbBΔa

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About this question

This is a previous-year question from JEE Main 2016, covering the Mechanical Properties of Solids 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.