Q9. A wooden block floating in a bucket of water has 4 of its volume submerged. When certain amount of an oil is 5 poured into the bucket, it is found that the block is just under the oil surface with half of its volume under water and half in oil. The density of oil relative to that of water is: (1) 0.8 (2) 0.7 (3) 0.5 (4) 0.6
What This Question Tests
The question tests the application of Archimedes' principle in two different scenarios for a floating object, first in water and then in a two-liquid system, to find the relative density of the unknown liquid.
Concepts Tested
Formulas Used
F_buoyant = ρ_fluid * V_submerged * g
Weight = mg = ρ_body * V_body * g
📚 NCERT Sections This Tests
9.3 — A Tank Is Filled With Water To A Height Of 12.5 Cm. The Apparent
Physics Class 12 · Chapter 9
9.3 A tank is filled with water to a height of 12.5 cm. The apparent depth of a needle lying at the bottom of the tank is measured by a microscope to be 9.4 cm. What is the refractive index of water? If water is replaced by a liquid of refractive index 1.63 up to the same height, by what distance would the microscope have to be moved to focus on the needle again?
9.5 — A Small Bulb Is Placed At The Bottom Of A Tank Containing Water To A
Physics Class 12 · Chapter 9
9.5 A small bulb is placed at the bottom of a tank containing water to a depth of 80cm. What is the area of the surface of water through which light from the bulb can emerge out? Refractive index of water is 1.33. (Consider the bulb to be a point source.)
1.25 — Amongst The Following Compounds, Identify Which Are Insoluble, Partially
Chemistry Class 11 · Chapter 1
1.25 Amongst the following compounds, identify which are insoluble, partially soluble and highly soluble in water? (i) phenol (ii) toluene (iii) formic acid (iv) ethylene glycol (v) chloroform (vi) pentanol. 1.26 If the density of some lake water is 1.25g mL–1 and contains 92 g of Na+ ions per kg of water, calculate the molarity of Na+ ions in the lake.
📋 Question Details
- Chapter
- Properties of Matter
- Topic
- Fluids
- Year
- 2019
- Shift
- 09 Apr Shift 2
- Q Number
- Q9
- Type
- MCQ
- NCERT Ref
- Class 11 Physics Ch 10: Mechanical Properties of Fluids
More from this Chapter
Q24.A cylinder of height 20 m is completely filled with water. The velocity of efflux of water (in ms−1 ) through a small hole on the side wall of the cylinder near its bottom is (1) 10 (2) 20 (3) 25.5 (4) 5
Q26.A wire suspended vertically from one of its ends is stretched by attaching a weight of 200 N to the lower end. The weight stretches the wire by 1 mm. Then the elastic energy stored in the wire is (1) 0.2 J (2) 10 J (3) 20 J (4) 0.1 J
Q17.A wire fixed at the upper end stretches by length by applying a force F. The work done in stretching is (1) F/2 (2) Fℓ (3) 2 Fℓ (4) Fℓ/2
Q24.Spherical balls of radius R are falling in a viscous fluid of viscosity η with a velocity v. The retarding viscous force acting on the spherical ball is JEE Main 2004 JEE Main Previous Year Paper (1) directly proportional to R but inversely (2) directly proportional to both radius R and proportional to v. velocity v. (3) inversely proportional to both radius R and (4) inversely proportional to R but directly velocity v. proportional to velocity v.