Home
Class 11
PHYSICS
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))`
Doubtnut Promotions Banner Mobile Dark
|

Topper's Solved these Questions

  • MECHANICAL PROPERTIES OF FLUIDS

    NARAYNA|Exercise EXERCISE - II (H.W) (CAPILLARITY AND CAPILLARY RISE)|4 Videos

  • MECHANICAL PROPERTIES OF FLUIDS

    NARAYNA|Exercise EXERCISE - II (H.W) (EXCESS PRESSURE IN A LIQUID DROP AND IN A SOAP BUBBLE|5 Videos

  • MECHANICAL PROPERTIES OF FLUIDS

    NARAYNA|Exercise EXERCISE - II (H.W) (PORCE DUE TO SURFACE TENSION)|4 Videos

  • MATHEMATICAL REVIEW & PHYSICAL WORLD

    NARAYNA|Exercise C.U.Q|13 Videos

  • MECHANICAL PROPERTIES OF SOLIDS

    NARAYNA|Exercise LEVEL-II (H.W)|24 Videos

Similar Questions

Explore conceptually related problems

A liquid drop of radius R breaks into N smaller droplets of radii r, If liquid has density rho, specific heat s and surface tension, T, than the drop in temeperature is given

A liquid drop of diameter D breaks up into 27 tiny drops. Find the resulting change in energy. Take surface tension of liquid as rho .

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`

    • Similar Questions

    Explore conceptually related problems

    If 10^(6) tiny drops coalesce to form a big drop. The surface tension of liquid is T. Then find the % fractional energy loss?

    What is the change in surface energy , when a mercury drop of radius R split up into 1000 droplets of radius of r ? [ The surface tension of mercury is T ]

    A water drop of radius R is split into n smaller drops , each of radius r. If T is the surface tension of water ,then the work done in the process is

    A liquid drop of diamtere D breaks into 27 tiny drops. The resultant change in energy is

    A liquid drop of radius R is broken up into n small droplets. The work done is proportional to

    Home
    Profile