7If a ball of steel (density p = 7.8 g cm ) attains a terminal velocity of 10 cm s 'when falling in a water (Coefficient of
Viscosity nwater = 8.5 x 10+ Pa. s) then its terminal velocity in glycerin (p = 1.2 g cm, n=132 Pa. s.) would be, nearly
\(A*) 6.25 x 104 cm s' (B) 6.45 x 10-4 cm s-1 (C) 1.5 x10 cm s-1 (D) 1.6 10-5 cm
cms-
(AIEEE-2011)
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Answers
Answered by
2
Answer:
Terminal velocity of ball when falling in liquid is given by
(ρb−ρl)Vg=6πηrv...eq(1)
1. case
when ball falling in tank of water of density ρwater=1gcm−3, ρball=7.8gcm−3ηwater=8.5×10−4Pa.s and terminal velocity v=10cms−1
Put all the above value in eq(1)
⇒(7.8−1)Vg=6π×8.5×10−4r×10...eq(2)
2. case
when ball falling in tank of glycerin
ρball=7.8gcm−3ηglycerin=13.2Pa.s and terminal velocity v1
put all the value in eq(1)
⇒(7.8−1.2)Vg=6π×13.2r×v1...eq(3)
divide eq(3) b eq(1)
7.8−17.8−1.2=8.5×10−4×1013.2×v1
⇒v1=6.8×13.26
hope it will help you
Answered by
1
Explanation:
I think the A is the correct answer
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