If the work done in blowing a soap bubble of volume ' V ' is ' W ', then the work done in blowing a soap bubble of volume ' 2 V ' will be

Step-by-step solution

The work done is given as W = T A Volume of sphere is V= 4 3 r ^3 Area of sphere is A =4 r ^2 array ll & A ~V ^ 2 3 & ~W ~V ^ 2 3 array aligned & W ^ W = V ^ 2 3 ~V ^ 2 3 & ~W ^ W = (2 ~V )^ 2 3 ~V ^ 2 3 ~W ^ W & =2^ 2 3 =4^ 1 3 ~W ^ & =4^ 1 3 ~W aligned ( V =2 ~V )