A beam is supported at its end points by supports which are 12 metres apart. Since the load is concentrated at its centre, there is a deflection of 3 cm at the centre and the deflected beam is in the shape of a parabola. How far from the centre is the deflection 1 cm ?

The radius of a circle is 8 cm and the length of its chords is 12 cm. Fid the distance of the from the centre.

Two charges +-10muC are placed 5.0 mm apart. Determine the electric field at a point on the axis of the dipole 15 cm away from its centre 0 on the side of the positive charge

The towers of a bridge, hung in the form of a parabola, have their tops 30 metres above the roadway and are 200 metres apart. If the cable is 5 metres above the road way at the centre of the bridge, find the length of the vertical supporting cable 30 metres from the centre.

The magnetic field due to a current carrying loop of radius 3 cm at a point on axis at a distance of 4 cm from its centre of 54 mu T . Then , the value of the magnetic field at the centre of the loop is

A bar magnet is 0.1 m long and its pole strength is 12 Am. Find the magnetic induction at a point on its axis at a distance of 0.2 m from its centre.

The length of a chord of a circle is 4 cm. If its perpendicular distance from the centre is 1.5 cm, determine the radius of the circle.

A spherical conductor of radius 12 cm has a charge of 1.6 xx 10^-7C distributed uniformly on its surface. What is the electric field at a point 18 cm from the centre of the sphere?

If the distribution of weight is uniform, then the rope of the suspended bridge takes the form of parabola.The height of the supporting towers is 20m, the distance between these towers is 150m and the height of the lowest point of the rope from the road is 3m. Find the equation of the parabolic shape of the rope considering the floor of the parabolic shape of the rope considering the floor of the bridge as X-axis and the axis of the parabola as Y-axis. Find the height of that tower which supports the rope and is at a distance of 30 m from the centre of the road.

A short bar magnet is placed in a horizontal plane with its axis in the magnetic merdian . Null points are found on its equitorial line (i.e., its normal bisector) at 12.5 cm and the earth's magnetic field at the place is 0.38 G the angle of dip is zero. (i) What is the total magnetic field at points on the axis of the magnet located by the same distance (12.5 cm) as the null-points from the centre? (ii) Locate the null points when the magnet is turned around by 180^(@) . Assume that the length of the magnet is negligible as compared to the distance of the null-point from the centre of the magnet.

A short bar magnet is placed with its north pole pointin north. The neutral point is 10 cm away from the centre of the magnet. If H=0.4G, calculate the magnetic moment of the magnet.