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A liquid drop of radius R breaks into 64...

A liquid drop of radius `R` breaks into 64 tiny droplets each of radius `r` if the surface tension of liquid is `T` then gain in energy is

A

`48piR^(2)T`

B

`12pir^(2)T`

C

`96pir^(2)T`

D

`192pir^(2)T`

Text Solution

Verified by Experts

The correct Answer is:
D
`W=4pir^(2)T(n-n^(2//3))`
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Knowledge Check

  • A liquid drop of radius R is broken into 1000 drops each of radius r. If T is surface tension, change in surface energy is

    A
    `4piR^2T`
    B
    `72piR^2T``
    C
    `16piR^2T`
    D
    `36piR^2T`

  • A liquid drop of diameter D breaks upto into 27 small drops of equal size. If the surface tension of the liquid is sigma , then change in surface energy is

    A
    `piD^(2) sigma `
    B
    `2piD^(2)sigma`
    C
    `3piD^(2)sigma`
    D
    `4piD^(2) sigma`

  • A spherical liquid drop of radius R is split up ino 8 equal droplets .If T is the surface tension of the liquid , then the work done in this process is

    A
    `4piR^(2)T`
    B
    `8piR^(2)T`
    C
    `3piR^(2)T`
    D
    `2piR^(2)T`
    • NARAYNA-MECHANICAL PROPERTIES OF FLUIDS-EXERCISE - II (H.W) (WORK & SURFACE ENERGY)
    1. A liquid drop of radius R breaks into 64 tiny droplets each of radius ...

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