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A film of water is formed between two st...

A film of water is formed between two straight parallel wires each 10cm long and at a separation 0.5cm. Calculate the work required to increase 1 mm distance between them. Surface tension of water `=72xx10^(-3)N//m`

Text Solution

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Initial surface area `=2xx"length"xx"separation"`
`=2xx10cmxx0.5cm=10cm^(2)=10xx10^(-4)m^(2)`
Final surface area `=2xx10cmxx(0.5+0.1)cm`
`=2xx10xx0.6cm^(2)=12xx10^(-4)m^(2)`
The required work
`WT/_\A=72xx10^(-3)xx(12xx10^(-4)-10xx10^(-4))J`
`=72xx10^(-3)xx2xx10^(-4)=144xx10^(-7)J`
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