what will be the work done in increasing the radius of soap bubble from r/2 to 2r,if surface tension of soap solution is T
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Answered by
27
Answer:
Explanation:
=> Surface energy of soap bubble :
U = T * 4πr²
U₁ = T * 4π(r/2)² = T * 4π(r²/4) = πTr²
U₂ = T * 4π(2r)² = 16πTr²
=> The work done in increasing the radius of soap bubble is equal to the increase in surface energy.
∴W = (U₂ - U₁)
= 16πTr² - πTr²
= 15πTr²
Thus, the work done in increasing the radius of soap bubble will be 15πTr².
Answered by
11
Answer:Surface energy of soap bubble :
U = T * 4πr²
U₁ = T * 4π(r/2)² = T * 4π(r²/4) = πTr²
U₂ = T * 4π(2r)² = 16πTr²
=> The work done in increasing the radius of soap bubble is equal to the increase in surface energy.
∴W = (U₂ - U₁)
= 16πTr² - πTr²
= 15πTr²
Thus, the work done in increasing the radius of soap bubble will be 15πTr².
Explanation:
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