A student sees the top edge and the bottom center C of a pool simultaneously from an angle θ above the horizontal as shown in the figure. The refraction index of water which fills up to the top edge of the pool is 4/3. If h/x = 7/4 then `cos theta` is

Shots are fired from the top of a tower and from bottom simultaneously at angle 30^(@) and 60^(@) as shown. If horizontal distance of the point of collision is at a distance 'a' from the tower. Then height of tower h is

A particle is projected from the top of a tower of height H. Initial velocity of projection is u at an angle theta above the horizontal . Particle hits the ground at a distance R from the bottom of tower. What should be the angle of projection theta so that R is maximum ? What is the maximum value of R?

A shallow glass dish is 4.00 cm wide at the bottom as shown in figure. When an observer's eye is positioned as shown, the observer sees the edge of the bottom of the empty dish. When this dish is 4.00 cm wide at the bottom as shown in figure. When an observer's eye is positioned as shown, the observer sees the edge of the empty dish. When this dish is filled with water, the observer sees the centre of the bottom of the dish. Find the height of dish mu_w=4//3.

An observer can see through a pin-hole the top end of a thin rod of height h, placed as shown in the figure. The beaker height is 3h and its radius h. When the beaker is filled with a liquid up to a height 2h, he can see the lower end of the rod. Then the refractive index of the liquid is

An observer can see through a pin-hole the top end of a thin rod of height h, placed as shown in the figure. The height of beaker is 3h and its radius is h. When the beaker is filled with a liquid up to a height 2h, he can see the lower end of the rod. Then the refractive index of the liquid is .

An observer can see through a pin-hole the top end of a thin rod of height h, placed as shown in the figure. The height of beaker is 3h and its radius is h. When the beaker is filled with a liquid up to a height 2h , he can see the lower end of the rod. Then the refractive index of the liquid is

An observer can see through a pin-hole the top end of a thin rod of height h, placed as shown in the figure. The beaker height is 3h and its radius h. When the beaker is filled with a liquid up to a height 2h, he can see the lower end of the rod. Then the refractive index of the liquid is

An observer can see through a pin-hole the top end of a thin rod of height h, placed as shown in the figure. The beaker height is 3h and its radius h. When the beaker is filled with a liquid up to a height 2h, he can see the lower end of the rod. Then the refractive index of the liquid is

A rectangular rigid fixed block has a long horizontal edge. A solid homogeneous cylinder of radus R is placed horizontally at rest its length parallel to the edge such that the exis of the cylinder and the endg of the block are in the same vertical plane as shown in the figure below. Ther is sufficinet friction present at the edge s that a very small displacement causes the cylinder to roll off the edge without slipping. Determine: (a) the angle theta_c through which the cylinder rotates before it leaves contact with the edge, (b) the speed of the centre of mass of the cylinder before leaving contact with the edge, and (c) the ratio of the translational to rotational kinetic energy of the cylinder when its centre of mass is in horizontal line with the edge.