A horizontal cylinderical tank `(6)/(pi)m` in diameter is half full of water. The space above the water is filled with a pressurized gas of unknown refractive index. A small laser can move along the curved bottom of the water and aims a light beam towards the centre of the water surface. When the laser has moved a distance `s=1m` or more (measured from curved face) from the lowest point in water, no light enters the gas. The refractive index of gas is `(mu_("water") = 4//3)`

A horizontal cylindrical tank is half full of water ( refractive index =(4)/(3)) . The space above the water is filled with a light liquid of unknown refractive index (mu) . A small laser source (s) can move along the curved bottom of the cylinder and aims a light beam towards the centre of the cylinder. The time needed by the laser beam to travel from the source to the rim of the cylinder depends on position (theta) of the source as shown in the graph. Find mu , it is given that sin theta_(0) = (5)/(6) .

A laser beam enters from air to soap solution in water then

In a tank filled with a liquid of refractive index 5//3 , a point source of light is placed 2 m below the surface of water. To cut off all light coming out of water from the source, what should be the minimum diameter of a disc, which should be placed over the source on the surface of water ?

A large tank containing water has a small hole near the bottom of the tank 1.5 m below the surface of water. What is the velocity of water flowing from the hole?

A rectangular tank 8m deep is full of water. By how much does the bottom appear to be raised if the refractive index of water is 4//3 ?

There is a small hole of diameter 2 mm in the wall of a water tank at a depth of 10 m below free water surface. Then the velocity of efflux of water from the hole will be

A point source is placed at a depth h below the surface of water (refractive index = mu ). The medium above the surface area of water is air from water.

A point source is placed at a depth h below the surface of water (refractive index = mu ). The medium above the surface of water is air from water.

A point source of light is placed at a depth of h below the surface of water of refractive index mu . A floating opaque disc is placed on the surface of water so that light from the source is not visible from the surface. The minimum diameter of the disc is