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A drop of water of radius 8 mm breaks into number of droplets each of radius 1 mm. How many droplets will be formed? -

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Question

A drop of water of radius 8 mm breaks into number of droplets each of radius 1 mm. How many droplets will be formed?

Numerical

Solution

Radius of a big drop (R) = 8 mm,

Radius of a small drop (r) = 1 mm.

Number of droplets (n) = `"Volume of big drop"/"Volume of each droplet"`

`=(4/3piR^3)/(4/3pir^3)`

`n = (R/r)^3=(8/1)^3`

n = 512 

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