In the spectrum of hydrogen atom the ratio of the longest wavelength in the Balmer series to the longest wavelength in the Lyman series is
$\frac{9}{4}$
$\frac{4}{9}$
$\frac{27}{5}$
$\frac{5}{27}$
A spherical liquid drop of radius R is divided into 64 equal droplets. If surface tension is $T$ then the work done in this process will be
$8 \pi R^2 T$
$\quad 12 \pi R^2 T$
$4 \pi R^2 T$
$\quad 16 \pi R^2 T$
A lens of power +5 D is put in contact with a lens of power -3 D . The combination will behave like a
convergent lens of focal length 75 cm .
divergent lens of focal length 16 cm .
convergent lens of focal length 50 cm .
divergent lens of focal length 40 cm .
A glass capillary of radius 0.35 mm is inclined at $60^{\circ}$ with the vertical in water. The length of water column in the capillary tube is (surface tension of water $=7 \times 10^{-2} \mathrm{Nm}^{-1}$, acceleration due to gravity $=10 \mathrm{~m} / \mathrm{s}^2, \cos 0^{\circ}=1$, $\cos 60^{\circ}=0.5$, density of water $=1 \mathrm{gram} / \mathrm{cm}^3$ )
16 cm
4 cm
8 cm
0.8 cm
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