# What is the depth does the body immersed in water which having realative density D?

1
by svpsumanth

2015-10-05T18:37:45+05:30

### This Is a Certified Answer

Certified answers contain reliable, trustworthy information vouched for by a hand-picked team of experts. Brainly has millions of high quality answers, all of them carefully moderated by our most trusted community members, but certified answers are the finest of the finest.
Object relative density = D  wrt  water.

let mass of object = M.    let its volume = V.  Its density = d.
density of water = d_w.        then  D = d / d_w    and  M = d V

1)  if   D > 1  then  the body is denser than water.  Then it will sink to the bottom of the water container.

2)  if  D = 1,   then the body is as denser as water.  It will float on water surface.  The upper part of the body will be just at the same level as water surface.  The entire body will be under water.

3)  if  D < 1.  then the body will float on water.  Let some part (volume V1)  be immersed in water.  As per Archimedes law

mass of the body = mass of water displaced.
D* d_w * V =  V1 * d_w

V1 = volume immersed =  D * V =  d / d_w * V = M / d_w

If we take the CGS system,  d_w = 1 gm/cc
Volume immersed = Mass in grams.

If we take the MKS system,  d_w = 1000 kg/m^3
Volume immersed =  (mass in kg  /1000 )    m^3

click on thanks button above pls;;select best answer