A sphere of brass released in a long liquid column attains a
terminial speed v₀. If the terminal speed attained by sphere
of marble of the same radius and released in the same liquid
is nv₀, then the value of n will be (Given : The specific
gravities of brass, marbles and the liquid are 8.5, 2.5 and 0.8
respectively.)
(a) 5/17
(b) 17/77
(c) 11/31
(d) 17/5
Answers
Answered by
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Explanation:
Terminal velocity V=
3μρ
4gd(ρ
s
−ρ)
where ρ
s
=is the density of the object,
ρ=is the density of the fluid , d=diameter
v
0
=
3μ×0.8
4gd(8.5−0.8)
..(1)
nv
0
=
3μ×0.8
4gd(2.5−0.8)
...(2)
dividing equation 2 by 1
n=
77
17
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