Physics · 2016
JEE Main · 10 April 2016, Shift 1 · Q7
A bottle has an opening of radius a and length b. A cork of length b and radius (a+Δ a) where (Δ a ≪ a) is compressed to fit into the opening…
A bottle has an opening of radius $\displaystyle a$ and length $\displaystyle b$. A cork of length $\displaystyle b$ and radius $\displaystyle (a+\Delta a)$ where $\displaystyle (\Delta a \ll a)$ is compressed to fit into the opening completely (See figure). If the bulk modulus of cork is $\displaystyle B$ and frictional coefficient between the bottle and cork is $\displaystyle \mu$ then the force needed to push the cork into the bottle is :
Official answer
(4)
$\displaystyle (4 \pi \mu B b) \Delta a$
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JEE Main 2016 Physics question, with the answer from NTA’s final answer key. Where our answers come from.