Paper Questions (Raw)
Q1. A 700 g solid cube having an edge of length 10 cm floats in water. The volume of cube outside water is
1) 50 cm
2) 100 (cm^3)
3) 300 (cm^3)
4) 500 (cm^3)
Q2. A body of density (d) and volume (V) floats with volume (V_1) of its total volume (V) immersed in a liquid of density (d_1) and the rest of the volume (V_2) immersed in another liquid of density (d_2\left(. The volume (V_1) immersed in liquid of density (d_1) is
1) (\left(\frac{d-d_2}{d_1-d_2}\right) V)
2) (\left(\frac{d+d_2}{d_1+d_2}\right) V)
3) (\left(\frac{d_1-d_2}{d_1}\right) V)
4) (\frac{d_1}{d_2} V)
Q3. A solid floats in a liquid in the partially submerged position
1) The solid exerts a force equal to its weight on the liquid
2) The liquid exerts a force of buoyancy on the solid which is equal to the weight of the solid
3) The weight of the displaced liquid equals the weight of the solid
4) All of the above
Q4. Assume the density of brass weights to be (8 g cm^{-3}) and that of air to be (0.0012 g cm^{-3}). What fractional error arises from neglecting the buoyancy of air in weighting an object (3.4 g cm^{-3}) on a beam balance?
1) (2 \times 10^{-1})
2) (2 \times 10^{-2})
3) (2 \times 10^{-3})
4) (2 \times 10^{-4})
Q5. A vessel contains oil (density (0.8 g / cc)) over mercury (density (13.6 g / cc)). A homogeneous sphere floats with half its volume immersed in mercury and the other half in oil. The density of the material of the sphere in g/cc is
Q6. A piece of ice is floating in jar containing. When the ice melts, then the level of water
1) Rises
2) Falls
3) Remains unchanged
4) Rises or falls depending upon the size of piece