If pressure at the half depth of a lake is equal to `3/4` times the pressure at its bottom, then find the depth of the lake. [Take g = 10 m/`s^(2)`]

If pressure at half the depth of a lake is equal to 2//3 pressure at the bottom of the lake then what is the depth of the lake ?

A point source of light is placed at the bottom of a water lake. If the area of the illuminated circle on the surface is equal to 3 times the square of the depth of the lake. The refractive index of water is

A lead ball dropped into a lake from a diving board 5 m above the water hits the water with certain velocity and then sinks to the bottom with the same constant velocity. If it reaches the bottom in 3s after it is dropped the depth of the lake is (g = 10 ms^(-2))

As an air bubble rises from the bottom of a lake to the surface, its volume is doubled. Find the depth of the lake. Take atmospheric pressure = 76 cm of Hg.

If the gauge pressure, at the bottom of a water tank is 2.7 kPa, what is the height of the water [Take g = 10 m s^(-2) ] Hint : Gauge Pressure = absolute pressure - atmospheric pressure = pgh

If the container filled with liquid gets accelerated horizontally or vertically, pressure in liquid gets changed. In liquid ( a_(y) ) for calculation of pressure, effective g is used. A closed box horizontal base 6 m by 6 m and a height 2m is half filled with liquid. It is given a constant horizontal acceleration g//2 and vertical downward acceleration g//2 . Water pressure at the bottomof centre of the box is equal to (atmospheric pressure =10^(5)N//m^(2) density of water =1000 kg//m^(3),g=10m//s^(2) )

An air bubble starts rising from the bottom of a lake. Its diameter is 3.6 mm at the bottom and 4 mm at the surface. The depth of the lake is 250 cm and the temperature at the surface is 40^@ C . What is the temperature at the bottom of the lake? Given atmospheric pressure = 76 cm of Hg and g = 980 cm//s^2 .

A rubber ball of mass 10 gram and volume 15 cm^3 is dipped in water to a depth of 10m. Assuming density of water uniform throughout the depth, find the acceleration of the ball ("Take g" =980 cm//s^2)

An air bubble doubles in radius on rising from bottom of a lake to its surface. If the atmosphere pressure is equal to that due ot a column of 10 m of water, then what will be the depth of the lake. (Assuming that surface tension is negligible)?

A water pond appears to be 2*7m dep. If the refractive index of water is 4//3 , find the actual depth of the pond.