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A uniform solid sphere of relative density 5 is released in water filled in a long vertical tube.ved is V. If another uniform solid sphere of same material but double the radius isreleased in the same water then the terminal velocity achieved will be(A) V(B) 4V(C) V/4(D) 2Vfall vertically |
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Answer» force (F) = 6piRkV (V is terminal velocity)Fi/Ff= (Ri/Rf).(Vi/Vf) ..........1 (i , f denotes initial & final)F = vg(p - pw) (v is volume)F1/F2= v1/v2 (v = 4/3 piR3)F1/F2= (Ri/Rf)2 ...............2equating 1 & 2(Ri/Rf)2= (Vi/Vf)final radius is double soVi/Vf= 1/4Vf= 4V |
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