An ancient building has a done of 5m radius and uniform but small thickness. The surface tension of its masionary structure is about `500 "Nm"^(-1)` . Treated as hemisphere, find the maximum load that dome can support.

The high domes of ancient buildings have structural value (besides beauty). It arises from pressure difference on the 2 faces due to curvature (as in soap bubbles). There is a dome of radius 5 m and uniform (but small ) thickness. The surface tension of its masonry structure is about 500 N/m. Treated as hemispherical, the maximum load that the dome can support is nearest to

A steel cable with a radius of 1.5 cm support a chairlift at a ski area.if the maximum stress is not to exceed 10^(8) Nm^(-2) , what is the maximum load the cable can support?

Find out work done to expend soup bobble to radius R = 5 cm (surface tension of water = 0.1 N/m)

The lower end of a capillary tube of diameter 2.0 mm is dipped 8.00cm below the surface of water in a beaker. What is the pressure required in the tube in order to blow a hemispherical bubble at its end in water? The surface tension of water at temperature of the experiments is 7.30 xx 10^(-2) Nm^(-1) . 1 atmospheric pressure = 1.01 xx 10^(5) Pa , density of water = 1000 kg//m^(3), g=9.80 ms^(-2) . also calculate the excess pressure.

Two capillaries of small cross section are connected as shown in the figure. The right tube has cross sectional radius R and left one has a radius of r (lt R) . The tube of radius R is very long where as the tube of radius r is of short length. Water is slowly poured in the right tube. Contact angle for the tube wall and water is theta = 0^(@) . Let h be the height difference between water surface in the right and left tube. Surface tension of water is T and its density is rho . (a) Find the value of h if the water surface in the left tube is found to be flat. (b) Find the maximum value of h for which water will not flow out of the left tube .

A satellite of mass m is going around the earth in a circular orbital at a height (R)/(2) from the surface of the earth. The satellite has lived its life and a rocket, on board, is fired to ake it leave the gravity of the earth. The rocket remains active for a very small interval of time and imparts an impulse in the direction of motion of the satellite. Neglect any hange in mass due to firing of the rocket. Find the minimum impulse imparted by the rocket to the satellite. Find the minimum work done by the rocket engine. Mass of the earth = M, Radius of the earth = R

In Young's double-slit experiment, a point source is placed on a solid slab of refractive index 6//5 at a distance of 2 mm from two slits spaced 3 mm apart as shown and at equal distacne from both the slits. The screen is at a distance of 1 m from the slits. Wavelength of light used is 500 nm. a. Find the position of the central maximum. b. Find the order of the fringe formed at O. c. A film of refractive index 1.8 is to be placed in front of S_(1) so that central maxima is formed where 200th maxima was formed. Find the thickness of film.

Find the work done in blowing a soap bubble of surface tension 0.06 Nm^(-1) from 2 cm radius to 5 cm radius.

A light rigid rod has a small ball of mass m attached to its one end. The other end is hinged on a table and the rod can rotate freely in vertical plane. The rod is released from vertical position and while falling the ball at its end strikes a hemisphere of mass m lying freely on the table. The collision between the ball and the hemisphere is elastic. The radius of hemisphere and length of the rod are R and 2R respectively. Find the velocity of the hemisphere after collision.

A structural steel rod has a radius of 10 mm and length of 1.0 m. A 100 kN force stretches it along its length. Young’s modulus of structural steel is 2xx10^11Nm^(_2) . The percentage strain is about