EASY
11th West Bengal Board
IMPORTANT
Earn 100

A body when immersed in a liquid floats with 14th of its volume above the liquid surface. The body is taken to depth d cm of liquid and then released. Show that the body will reach the surface after 6xg second from the time of release.

Important Questions on Fluid Statics

EASY
11th West Bengal Board
IMPORTANT
A wooden block A is kept immersed in a liquid contained in a vessel by a thread connected to the bottom of the vessel. The densities of wood and liquid are ρ and ρ1ρ<ρ1. When the system is at rest, the tension in the thread is T. If the vessel now starts moving upward with acceleration a, find the new tension. 
EASY
11th West Bengal Board
IMPORTANT
A solid ball of density half that of water falls freely under gravity from a height of 19.6 m and then enters water. Upto what depth will the ball go ? How much time will it take to come to the water surface again ? Neglect air resistance and velocity effects in water.
EASY
11th West Bengal Board
IMPORTANT
If W1 and W2 be the weights of a given body when it is immersed in fluids of specific gravities S1 and S2 respectively, show that its weight in vacuum is W1S2-W2S1/S2-S1.
EASY
11th West Bengal Board
IMPORTANT
A body weighs w1, w2 and w3 when immersed in three liquids of specific gravities S1, S2 and S3 respectively. Show that S3w1-w2+S2w3-w1+S1w2-w3=0.
MEDIUM
11th West Bengal Board
IMPORTANT
A barometer contains some air above the mercury whose height is 70 cm. The top of the barometer is 80 cm above the mercury level in the cistern and the atmospheric pressure is 75 cm of Hg. What is the atmospheric pressure when this barometer reads 67.5 cm ?
MEDIUM
11th West Bengal Board
IMPORTANT
A helicopter is flying at an altitude of 600 m. The average density of air below the copter is 1.2 kgm-3 and the atmospheric pressure on the surface of the earth is 1013 millibar. What is the air pressure in the helicopter ?
EASY
11th West Bengal Board
IMPORTANT
An ideal gas is trapped between a mercury column and the closed lower end of a narrow vertical tube of uniform bore. The upper end of the tube is open to atmosphere (Atmospheric pressure =76 cm of Hg). The lengths of the mercury and the trapped gas columns are 20 cm and 43 cm respectively. What will be the length of the gas column when the tube is tilted slowly in a vertical plane through an angle of 60° ? Assume constant temperature all through.
HARD
11th West Bengal Board
IMPORTANT
A tube 100 cm long, kept vertical with its open end downward is inserted into mercury contained in a vessel. If the column of mercury entering into the tube be 20 cm long, what length of the tube will remain outside the mercury ? Atmospheric pressure is 76 cm of mercury.