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Pinky Nigam
Asked: 2022-11-09T21:23:45+05:30 In:

A uniform solid sphere of relative density 5 is released in water filled in a long vertical tube. Its terminal velocity achived is `V`. If another uniform solid sphere of same material but double the radius is released in the same water then the terminal velocity achived will be.
A. `V`
B. `4V`
C. `(V)/(4)`
D. `2V`

A uniform solid sphere of relative density 5 is released in water filled in a long vertical tube. Its terminal velocity achived is `V`. If another uniform solid sphere of same material but double the radius is released in the same water then the terminal velocity achived will be.
A. `V`
B. `4V`
C. `(V)/(4)`
D. `2V`
Parabola
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1 Answer

  1. Correct Answer – B
    Initially the terminal velocity `V` of sphere of radius `a` is
    `W_(eff)=6pietaaV` (1)`(W_(eff)=`weight`-`Buoyant force)
    As the radius is doubled, mass is increased to 8 times and new terminal velocity will be
    `8W_(eff)=6pieta2aV^(`)` .(2)
    From (1) and (2) `V^(`)=4V`

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