A steel ring of radius r and cross-sectional area A is fitted on to a wooden disc of radius R (R > r). If Young's modulus be Y, then the force with which the steel ring is expanded is

Engineering

Physics

Stress Strain and Hookes Law New

Question

AY $(\frac{R - r}{r})$

$\frac{Y r}{AR}$

$\frac{Y}{A} (\frac{R - r}{r})$

AY $(\frac{R}{r})$

LiveFree JEE Main Previous Year Online Papers Live Free JEE Advance Previous Year Online Papers

College PredictorLive

Know your College Admission Chances Based on your Rank/Percentile, Category and Home State.

Get your JEE Main Personalised Report with Top Predicted Colleges in JoSA

Strain = $\frac{Δℓ}{ℓ}$ = $(\frac{2 πR - 2 πr}{2 πr})$
Strain = $(\frac{R - r}{r})$
Y = $\frac{R / A}{\frac{Δℓ}{ℓ}}$ , Y $\frac{Δℓ}{ℓ}$ A = F
F = AY $(\frac{R - r}{r})$