Q7. A sphere of relative density σ and diameter D has concentric cavity of diameter d. The ratio of Dd , if it just floats on water in a tank is : (1) ( σ+2σ−2 ) 1/3 (2) ( σ−1σ )1/3 (3) σ−1 1/3 (4) σ+1 1/3 ( σ ) ( σ−1 )
What This Question Tests
This question involves the principle of floatation for a hollow sphere, requiring calculation of the effective density of the object with a cavity.
Concepts Tested
Formulas Used
F_buoyant = ρ_fluid V_submerged g
Density = Mass / Volume
📚 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.)
13.4 — Obtain Approximately The Ratio Of The Nuclear Radii Of The Gold Isotope
Physics Class 12 · Chapter 13
13.4 Obtain approximately the ratio of the nuclear radii of the gold isotope 197 79 Au and the silver isotope 10747 Ag .
📋 Question Details
- Chapter
- Properties of Matter
- Topic
- Buoyancy and Floatation
- Year
- 2024
- Shift
- 09 Apr Shift 1
- Q Number
- Q7
- Type
- MCQ
- NCERT Ref
- Class 11 Physics Ch 10: Mechanical Properties of Fluids
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