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 :

Options

A. 100cm
B. 10cm
C. 1cm
D. 0.5cm

Answer

C

Explanation

Excess pressure `=(4T)/(R )`
Gauge pressure `= rho g Z_(0)`
Pressure at equation
`P_(0) + (4T)/(R )= P_(0) + rho gZ_(0)`
`Z_(0) = (4T)/(R xx rho g)`
`Z_(0)= (4 xx 2.5 xx 10^(-2))/(10^(-3) xx 1000 xx 10)m`
`Z_(0)=1cm`