Answer to Q.No 9 H.C.Verma.
Buoyant Force acting on the ornament is
Wt. In air - wt. In water = 36 - 34 = 2 grms.
Also buoyant force is the volume of the solid immersed x density of the liquid.
Therefore 2 = (36 - m ) / 19.3 + ( m) / 8.9
Which gives the value of 'm' where m is the mass of copper mixed.
Answer to Q.10 of H.C.Verma
Let the volume of the cavity be 'V'
Therefore Volume of the solid immersed + V = buoyant force / density of liquid.
Considering density of water =1 grm / cc.
Then 2 = (36 / 19.3 ) + V
Which gives the value of 'V'
Answer to Q.11 of H.C. Verma.
The equation for the equilibrium of the metal piece is
N + F = m g ------------------ (1)
Where F is the buoyant force and N the normal reaction.
F = mg x density of the liquid / density of the solid = mg / 8
Therefore
N = mg - F = mg - mg / 8 = 7 mg / 8.