If the work done in blowing a bubble of radius R is W, then the work done in blowing a bubble of radius 2R from that solution is :

Options

A. W/2
B. 2W
C. 4W
D. `2^(1//3)W`

Answer

C

Explanation

Work done = T `xx` increase in area.
`thereforeW_(1)=T.2[4piR^(2)-0]`
`W_(1)=8piR^(2)T.`
& `W_(2)=T.2[4pi(2R)^(2)-0]`
`=32piR^(2)T.`
`therefore(W_(2))/(W_(1))=(32piR^(2)T)/(8piR^(2)T)rArr(W_(2))/(W_(1))=4`
`rArrW_(2)=4W_(1)`
Thus correct choice is (c).