A canal is `4 1/2` kms from a place and the shortest route from this place to the cenal is exactly north-east. A village is 3 kms north and 4 kms east from the place. Does it lie on canal?

What is the empirical probability that an engineer lives : less than 7 km from her place of work ?

What is the empirical probability that an engineer lives : more than or equal to 7 km from her place of work ?

What is the empirical probability that an engineer lives : within 1/2 km from her place of work ? 12

A person walks distance of 4 km from his home in the north direction. Then he covers distance of 3 km in west direction. Now t from this place he direction walks toward home on the path of minimum distance between that place and home. What would be the total Home distance covered by this person?

Three equal masses of 1 kg each are placed at the vertices of an equilateral Delta PQR and a mass of 2kg is placed at the centroid O of the triangle which is at a distance of sqrt(2) m from each the verticles of the triangle. Find the force (in newton) acting on the mass of 2 kg.

A particle of mass 1kg is placed at a distance of 4m from the centre and on the axis of a uniform ring mass 5kg and radius 3m . The work done to increase the distance of the particle from 4m to 3sqrt(3) m is

A man walks a distance of 3 units from the origin towards north-east to reach position A. from there he walks a distance of 4 units towards North west to reach position P. Then position of P in argand plane is

A body lost in a jungle finds a note. In the note was written the following things. Displacements 1. 300 m 53^(@) South of East . 2. 400 m 37^(@) North of East 3. 500 m North 4. 500sqrt(2) m North- West 5. 500 m South He starts walking at constant speed 2m/s following these displacements in the given order. How far and in which direction has he finally displaced after all the displaced after all the displacements in the note ?

A square loop of side 10 cm and resistance 0.5 Omega is placed vertically in the east-west plane. A uniform magnetic field of 0.5 T is set up across the plane in the north-east direction. The magnetic field is decreased to zero in 1.4 s at a steady rate. Determine the magnitudes of induced emf and current during this time interval .