An aluminium sphere is dipped into water. Which of the following statement is true? [NCERT Exemplar]
see full answer
Your Exam Success, Personally Taken Care Of
1:1 expert mentors customize learning to your strength and weaknesses – so you score higher in school , IIT JEE and NEET entrance exams.
An Intiative by Sri Chaitanya
a
Buoyancy will be less in water at 0° C than that in water at 4° C.
b
Buoyancy will be more in water at 0° C than that in water at 4° C.
c
Buoyancy in water at 0° C will be same as that in water at 4° C.
d
Buoyancy may be more or less in water at 4° C depending on the radius of the sphere.
answer is A.
(Unlock A.I Detailed Solution for FREE)
Best Courses for You
JEE
NEET
Foundation JEE
Foundation NEET
CBSE
Detailed Solution
Let volume of the sphere be V and ρ be its density, then we can write buoyant force as F = V ρ g (g = acceleration due to gravity)⇒ F ∝ ρ (∵V and g both are constants)⇒ F4°CF0°C=ρ4°Cρ0°C>1 (∵ ρ4∘C>ρ0∘C)Hence, buoyancy will be less in water at 0° C than that in water at 4° C.