1.

A soap bubble, having radius of 1 mm, is blown from a detergent solution having radius of 1 mm is blown from a detergent solution having a surface tension of `2.5xx10^(-2)N//m`. The pressure inside the bubble equals at a point `Z_(0)` below the free surface of water in a container. Taking `g=10 m//s^(2)`, density of water `=10^(3) kg//m^(3)`, the value of `Z_(0)` is :A. 0.5cmB. 100 cmC. 10 cmD. 1 cm

Answer» Correct Answer - D
Pressure inside soap bubble `=P_(0)+(4T)/(R)`
Pressure at a point `Z_(0)` below surface of water `=P_(0)+rhogZ_(0)`
`P_(0)`= atomospheric pressure
`(4T)/(R)=rhogZ_(0)`
`Z_(0)=(4T)/(rhogR)`
`Z_(0)=(4xx2.5xx10^(-2))/(10^(3)xx10xx1xx10^(-3))`
`Z_(0)=1cm`


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