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One spherical ball of radius R, density ...

One spherical ball of radius `R`, density of released in liquid of density `d//2` attains a terminal velocity V. Another ball of radius 2R and density 1.5 d released in the liquid will attain a terminal velocity

A

2 V

B

4 V

C

6 V

D

8 V

Text Solution

Verified by Experts

The correct Answer is:
D
`v=(2)/(9)(r^(2)(rho-rho_(0))g)/(eta)(v_(1))/(v_(2))=(r_(1)^(2))/(r_(2)^(2))xx((rho_(1)-rho_(0))/(rho_(2)-rho_(0)))`
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Knowledge Check

  • A sphere of radius R and density rho_1 is dropped in a liquid of density sigma . Its terminal velocity is v_1 . If another sphere of radius R and density rho_2 is dropped in the same liquid, its terminal velocity will be:

    A
    `((rho_2-sigma)/(rho_1-sigma))v_1`
    B
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    C
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    D
    `((rho_2)/(rho_1))v_1`

  • A sphere of radius R is gently dropped into liquid of viscosity eta in a vertical uniform tube. It attains a terminal velocity v. Another sphere of radius 2 R when dropped into the same liquid, will attain its teriminal velocity.

    A
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    B
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    A
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