A straight canal is `4 1/2m i l e s` from a place and the shortest route from this place to the canal is exactly north-east. A village is `3 m i l e s` north and four miles east from the place. Does it lie by the nearest edge of the canal?

Two bar magnets A and B , each having a magnetic length of 4 cm are placed along a straight line with their north poles 8 cm apart and facing each other . The neutral point lies on the axis , 2 cm from the north pole of the magnet A . Calculate the ratio of the magnetic moments of A and B . [ Ignore the effect of earth ' s magnetic field ] .

A cube of side 2 m is placed in fornt of a large concave mirror of focal length 1 m is such a way that the face of the cube A is at a distance of 3 m and the face B at a distance of 5 m from the mirror. The distance between the images of the faces A and B will be

A short bar magnet placed on a horizontal plane has its axis aligned along the magnetic north- south direction . Null points are found on the magnet . The earth's magnetic field at the place is 0.36G . What is the magnet at the total magnetic field on the normal bisector of the same distance as the null points (i.e., 14 cm) from the centre of the magnet (at null points , field due to a magnet is equal and opposite to the horizontal component of earth's magnetic field . )

A cube of side 2 m is placed in fornt of a large concave mirror of focal length 1 m is such a way that the face of the cube A is at a distance of 3 m and the face B at a distance of 5 m from the mirror. The height of the image of the face A will be

In a bucket and ball race, a bucket is placed at the starting point, which is 5 m from the first ball, and the other balls are placed 3 m apart in a straight line. There are ten balls in the line. A competitor starts from the bucket, picks up the nearest ball, runs back with it, drops it in the bucket, runs back to pick up the next ball, runs to the bucket to drop it in, and she continues in the same way until all the balls are in the bucket. What is the total distance the competitor has to run? (Hint: To pick up the first ball and the second ball, the total distance (in metres) run by a competitor is 2 x 5 + 2 x (5+3)]