A bottle has an opening of radius a and ...

A bottle has an opening of radius a and length b. A cork of length b and radius `(a+Delta A)` is compressed to fit into the opening completely (See figure). If the bulk modulus of cork is B and frictional coefficient between the bottle and cork is  then the force needed to push the cork into the bottle is :

`(2pimuBb)Deltaa`

`(pimuBb)Deltaa`

`(4pimuBb)Deltaa`

`(pimuBb)a`

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