Question

# A block of wood floats on water with 1/4 th of its volume above the water surface. The density of the wooden block will be? Take, density of water = 1 gcm−3.

A

0.25 gcm3

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B

0.50 gcm3

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C

0.75 gcm3

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D

1 gcm3

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Solution

## The correct option is C 0.75 gcm−3 let the volume of the block be V and density of wood be ρ. The volume of the block above the surface= 14V The volume of the immersed block (v) =V−14V= 34V We know, Weight of the block = weight of water displaced by immersed part of the block. i.e. V x ρ x g = 34V x 1 x g ρ = 34 =0.75 gcm−3

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