The correct option is A 1:27
Let us suppose, radius of first and second soap bubble is r1 and r2 respectively. Also suppose, T is surface tension.
Now, excess pressure inside first bubble,
p1=4Tr1 .......(1)
and excess pressure inside second bubble,
p2=4Tr2 .......(2)
Given, p1=3p2
4Tr1=3×4Tr2 [ from (1) and (2) ]
⇒r1r2=13 .......(3)
Ratio of their volumes,
V1V2=43πr3143πr32
⇒V1V2=(r1r2)3=127 [ from (3) ]