# a mercury drop of radius 1 cm is sprayed

questioned by administrator @ in Physics viewed by 107 People

a mercury drop of radius 1 cm is sprayed into 10^6 droplets of equal size. calculate energy expended. surface tension of mercury = 32× 10^-2 N/m​

A mercury drop of radius 1 cm is sprayed into 10^6 droplets of equal size, the surface tension of mercury = 32× 10^-2 N/m​. Calculate the energy expended.

Explanation:

• From the above-given data, Let us consider 'R' as the radius of the big drop, and 'r' as the radius of the small drop.
• The total volume is conserved on the formation of small drops.
• Solution:  4/3 πr³ × = 4/3 πR³
• The other form is ⇒ r = R × = 0.01 cm
• To calculate the energy expended, the formula is

Energy expended = Surface tension × Increase in surface area

= T × 4π(R² - r²)

= 32 ×   × 4 × 3.14 [ (0.01 × ) - ()²]

= 401.92 × × J

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