A rhombus shaped field has green grass for 18 cows to graze. If each side of the rhombus is 30 m and its longer diagonal is 48 m, how much area of grass field will each cow be getting ?
The shape of a field is an isosceles triangle. The length of two equal sides of the field is 30 m and the length of the third side is 20 m. Find its area.
A rhombus has each side of length 20 cm and one pair of opposite angles 60^(@) each. Find the length of its diagonals.
A cow is tied with a rope of length 14 m at the corner of a rectangular field of dimensions 20m xx 16 m . Find the area of the field in which the cow can graze.
A horse is tied to a peg at one corner of a square shaped grass field of side 15 m by means of a 5m long rope. Find : (1) the area of that part of the field in which the horse can graze. (2) the increase in the grazing area if the rope were 10m long instead of 5m. (use pi = 3.14 )
The pillars of a temple are cyclindrically shaped (see the given figure). If each pillar has a circular base of radius 20 cm and height 10 m, how much concrete mixture would be required to build 14 such pillars ?
Hameed has built a cubical water tank with lid for his house, with each outer edge 1.5 m long. He gets the outer surface of the tank excluding the base, covered with square tiles of side 25 cm (see the given figure). Find how much he would spend for the tiles, if the cost of the tiles is Rs. 360 per dozen.
An accelration produces a narrow beam of protons, each having an initial speed of v_(0) . The beam is directed towards an initially uncharges distant metal sphere of radius R and centered at point O. The initial path of the beam is parallel to the axis of the sphere at a distance of (R//2) from the axis, as indicated in the diagram. The protons in the beam that collide with the sphere will cause it to becomes charged. The subsequentpotential field at the accelerator due to the sphere can be neglected. The angular momentum of a particle is defined in a similar way to the moment of a force. It is defined as the moment of its linear momentum, linear replacing the force. We may assume the angular momentum of a proton about point O to be conserved. Assume the mass of the proton as m_(P) and the charge on it as e. Given that the potential of the sphere increases with time and eventually reaches a constant velue. One the potential of the sphere has reached its final, constant value, the minimum speed v of a proton along its trajectory path is given by
An accelration produces a narrow beam of protons, each having an initial speed of v_(0) . The beam is directed towards an initially uncharges distant metal sphere of radius R and centered at point O. The initial path of the beam is parallel to the axis of the sphere at a distance of (R//2) from the axis, as indicated in the diagram. The protons in the beam that collide with the sphere will cause it to becomes charged. The subsequentpotential field at the accelerator due to the sphere can be neglected. The angular momentum of a particle is defined in a similar way to the moment of a force. It is defined as the moment of its linear momentum, linear replacing the force. We may assume the angular momentum of a proton about point O to be conserved. Assume the mass of the proton as m_(P) and the charge on it as e. Given that the potential of the sphere increases with time and eventually reaches a constant velue. The total energy (E) of a proton in the beam travelling with seed v at a distance of r (r ge R) from point O. Assuming that the sphere has acquired an electrostatic charge Q is
1muC charge is placed on each vertex of a regular hexagon. Side of hexagon is 1 m, then electric field at its centre is.......
In a particular double star system two stars of mass 3 xx10^(30) kg each revolve about their common centre of mass 1xx10^(11) m on away. (i). Calculate their common period of revolution (ii). Suppose that a meteoroid (small solid particle in space) passes through this centre of mass moving at right angles to the orbital plane of the stars. What must its speed be if it is to escape from the gravitational field of the double star?
