Question

Why is the handle on a door provided at the largest possible distances form the hinges?

Answer 1

torque = r x F

if r is max then for less force also door can be opened

Answer 2

Torque is a measure of the force that can cause an object to rotate about an axis.

The magnitude of the torque vector for a torque τ produced by a given force F is

τ=F . rsinθ

where r is the length of the moment arm and θ is the angle between the force vector and the moment arm.

If you apply a force near the axis of rotation, the torque would be small because the distance is small.

If you apply the same force farther away from the axis, the torque is larger. Hence, the door opens easily with less effort.

Hence always  handle on a door, is  provided at the largest possible distances form the hinges.