A string of length $L$ is fixed at one end and carries a mass m at the other end. The string makes $\frac{3}{\pi}$ revolutions per second around the vertical axis through the fixed end. The tension in the string is

8 mL
12 mL
24 mL
36 mL
When three capacitors of capacitances ' C ', ' 2 C '? and ' 3 C ' are connected in series. The potential difference applied across the combination is ' $V$ '. The energy stored in the circuit is
$\frac{1}{11} \mathrm{CV}^2$
$\frac{3}{11} \mathrm{CV}^2$
$\frac{5}{11} \mathrm{CV}^2$
$\frac{7}{11} \mathrm{CV}^2$
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
$8 \pi R^2 T$
$\quad 12 \pi R^2 T$
$4 \pi R^2 T$
$\quad 16 \pi R^2 T$
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