A cuboidal piece of wood has dimensions a, b and c. its relatively density is d. it is floating in a large body of water such that side a is vertical. It is pushed down a bit and released. The time period of SHM executed by it is

Options

A. `2pisqrt((abc)/(g))`
B. `2pisqrt((g)/(da))`
C. `2pisqrt((bc)/(dg))`
D. `2pisqrt((da)/(g))`

Answer

D

Explanation

`W=B`
`abcd g=xbc xx 1 xx g" "implies x=ad`
`F_(R)=-Deltaxbcg" "impliesF_(R)=-bcgDeltaximplies" "K=bcg`
`T=2pisqrt((m)/(K))" "impliesT=2pisqrt((abcd)/(bcg))implies" "T=2pisqrt((ad)/(g))`