UPSEE Solved Model Paper 6

Here, we have to find out the relative density of the given body.
Weight of the floating body = weight of the liquid displace
i.e., Vdg = vρg
where
V - volume of the floating body
d - density of floating body
g - acceleration due to gravity
v - volume of the submerged
ρ - density of the liquid
i.e., Vd = vρ
d =

vρ

V

=

3 4 Vρ

V

=

3

4

ρ
∴

d

ρ

=

3

4

Now, Relative density
=

Density‌of‌body

Density‌of‌water

=

d

ρ

=

3

4

That is, the relative density of the given body is 3/4.