Pressure Distribution in a Liquid subjected to constant Vertical acceleration

Q. A 10 m high rocket containing liquid fuel of specific gravity 1.2 lifts off at an acceleration of 5 g. The pressure on the bottom plate of the rocket during lift-off is

1. 6.7 kg/c$m^2$
2. 7.2 kg/c$m^2$
3. 8.4 kg/c$m^2$
4. 8.9 kg/c$m^2$

Q. A 50 cm high, 30 cm x 30 cm tank is filled with oil having specific gravity 0.8 upto a depth of 30 cm, what is the maximum acceleration to which tank may be translated on a level road without spilling the oil ? ($g=9.81m/se{c}^2$)

1. $5.17m/se{c}^2$
2. $7.35m/se{c}^2$
3. $9.69m/se{c}^2$
4. $13.1m/se{c}^2$

Q. A cylinder of diameter $0.4$ $m$ is rotated at an angular velocity 25 radian/second about its axis. Now consider two causes, one when closed and other when open from top. What will be the difference in total force at the bottom of cylinder for two causes? (Take ${\gamma }_w=10$ $kN/m^3$)

1. $1.57$ $kN$
2. $15.7$ $kN$
3. $25.12$ $kN$
4. $80$ $kN$

Q. A 50 cm high and 40 cm dia cylinder containing water is given a horizontal acceleration and vertical upward acceleration of 3 $m/s^2$ and 4 $m/se{c}^2$ respectively. What should be maximum original height of water in cylinder so that water does not spill out ?

1. 36.41 cm
2. 41.32 cm
3. 45.66 cm
4. 48.24 cm