NEET Class neet Answered
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Asked by Prashant DIGHE | 09 Oct, 2019, 10:01: PM
Expert Answer
when an object is floating on liquid, upthrust given by liquid is balanced by weight of the object
Since half of volume of hollow sphere is immersed, upthrust = (V/2) ρw g ........................(1)
where V is full geometrical volume of sphere, ρw is density of water and g is acceleration due to gravity.
weight of the hollow sphere = Vs ρs g ................................(2)
where Vs is shell volume of sphere and ρs is density of material of hollow sphere.
By equating (1) and (2), we have, (V/2) ρw = Vs ρs or ρs = (1/2) ( V / Vs ) ρw ........................(3)
Volume ration V/Vs = [ (4/3)π 83 ] / [ (4/3)π ( 83 - 63 ) ] ≈ 1.73
Hence density of material of hollow sphere, ρs = (1/2)×1.73×1000 = 865 kg /m3
Answered by Thiyagarajan K | 10 Oct, 2019, 09:35: AM
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