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A big water drop is formed by the combin...

A big water drop is formed by the combination of 'n' small water drops of equal radii. The ratio of the surface energy of 'n' drops to the surface energy of big drop is

A

`n^(2):1`

B

n:1

C

`sqrtn: 1`

D

`3sqrtn :1`

Text Solution

Verified by Experts

The correct Answer is:
D
`(E_(2))/(E_(1))=n^(1//3)=(3sqrtn)/(1)`
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Knowledge Check

  • If 64 raindrops combine into a single drop . The ratio of total surface energy of 64 drops to that of a single drop is ,

    A
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    B
    `3:1`
    C
    `16:1`
    D
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    B
    `1:1000`
    C
    `10:1`
    D
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  • Two drops of equal radius coalesce to form a bigger drop. What is ratio of surface energy of bigger drop to smaller one?

    A
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    B
    `1:1`
    C
    `2^(2//3):1`
    D
    None of these

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