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When a big drop of water is formed from ...

When a big drop of water is formed from n small drops of water, the energy loss is 3E, where, E is the energy of the bigger drop. If the radius of the bigger drop is R and r is the radius of the smaller drop, then number of smaller drops (n) is

A

`4R/r^(2)`

B

`4R/r`

C

`2R^(2)/r`

D

`4R^(2)/r^(2)`

Text Solution

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The correct Answer is:
C
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Knowledge Check

  • When a big drop of water is formed from n small drops of water, the energy loss is 3E, where, E is the energy of the bigger drop. IfR the radius of the bigger drop and r is the radius of the smaller drop, then number of smaller drops (n) is

    A
    `4R/r^(2)`
    B
    `4R/r`
    C
    `2R^(2)/r`
    D
    `4R^(2)/r^(2)`
  • When a big drop of water is formed from m small drops of water, the energy loss is 3E where E is energy of bigger drop. If R is radius of bigger drop and r is radius of smaller drop then number of smaller drops(n) is

    A
    `(4R)/(r )`
    B
    `(2R^(2))/(r )`
    C
    `(4R^(2))/(r^(2))`
    D
    `(4R)/(r^(2))`
  • If n small droplets of water each of radiur r, coalesce to form a single drop of radius R. The amount of heat generated is

    A
    `4piT(nr^(2)-R^(2))`
    B
    `4piT(nR^(2)-r^(2))`
    C
    `(4pi)/T(nr^(2)-R^(2))`
    D
    `(4piT)/n(r^(2)-R^(2))`
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