Is the answer 30.6cm???
Here consider liquid lens having one side plane and other side convex of radius R(which is to be found)
Then there glass lens which has one side plane and other side concave of radius R
Then use lens makers formula for both to find the individual focal length of each.....
1/f
1 = (
l-1)/R (for liquid lens)
1/f
2 = -(
g-1)/R (for glass lens)
Then since there is plane mirror......it's focal length is infinity
And since the ray of light is reflected we can write,
1/F = 2/f1 + 2/f2 + 0 = 0.34/R
Now this whole arrangement behaves as a mirror.....
Using mirror formula,
-1/180 + (-1/180) = -0.34/R
R= 30.4 cm
PLz rate if satisfied........and nudge me if any doubts r there.......