Given - critical angle for glass =θ1
critical angle for water =θ2
critical angle for water glass interface =θ
for glass, the critical angle is
sinθ1=1aμg
for water, the critical angle is
sinθ2=1aμw
as we know aμg>aμw
hence sinθ2>sinθ1
for water glass interface ,the critical angle is
sinθ=1wμg
or sinθ=aμwaμg=sinθ1sinθ2
but sinθ2>sinθ1
therefore sinθ>sinθ2
or θ>θ2