Object floats with 40% volume submerged. Density ratio (object/liquid) is: MCQ with Answer and Explanation

Object floats with 40% volume submerged. Density ratio (object/liquid) is:
A. 0.6
B. 2.5
C. 1.4
D. 0.4
Answer: Option D
Solution (By JKSSB Mock Tests)
Floatation: weight = buoyant force ⇒ ρ_obj·V·g = ρ_liq·V_sub·g ⇒ ρ_obj/ρ_liq = V_sub/V = 0.4. Fraction submerged equals density ratio. Memory tip: 'Submerged fraction = ρ_object/ρ_fluid'. Direct Archimedes' principle application frequently tested in buoyancy sections of competitive exams.

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Question #1
The boiling point of water on Kelvin scale is
A. 100 K
B. 0 K
C. 273.15 K
D. 373.15 K

Correct Answer: Option D


Explanation:
Boiling point of water = 100°C = 100 + 273.15 = 373.15 K. Melting point of ice 0°C = 273.15 K. Kelvin is SI unit, no degree symbol.

This question belongs to: Science Physics
Question #2
The phenomenon of diffraction limits the resolving power of optical instruments because:
A. Mirrors reflect imperfectly
B. Lenses absorb light
C. Light bends around edges, causing image blurring
D. Atmospheric turbulence distorts light

Correct Answer: Option C


Explanation:
Diffraction causes light waves to spread when passing through apertures or around obstacles, creating Airy patterns instead of point images. This fundamental wave effect limits the minimum resolvable detail (Rayleigh criterion: θ_min ≈ 1.22λ/D). Options B, C, D are practical limitations but not the fundamental diffraction limit. Memory tip: 'Diffraction limit: smaller λ or larger aperture ⇒ better resolution'. This wave optics concept is frequently tested in competitive exams. Always distinguish fundamental limits (diffraction) from technical limitations (aberrations, turbulence) in instrument performance.

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Question #3
A force F gives an acceleration a to mass m. If mass doubled and force halved, acceleration becomes
A. a/4
B. 2a
C. a/2
D. a

Correct Answer: Option A


Explanation:
a' = (F/2)/(2m) = F/(4m) = a/4.

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