Question

While floating in water 5/6 part of volume of a wood is immersed in water. What is relative density of wood base ?

Answer 1

Form the floatation law,

Weight of the wooden piece = Weight of water displaced by immersed portion  

or

Mass of the wooden piece = Mass of water displaced by immersed portion  

Rdwood × V = Rdwater × begin mathsize 14px style 5 over 6 end styleV

Rdwood = Rdwater × begin mathsize 14px style 5 over 6 end style

Rdwood  = 1 × begin mathsize 14px style 5 over 6 end style

Rdwood = begin mathsize 14px style 5 over 6 end style

Therefore, the relative density of wooden piece is 5/6