Question

Column I describes the motion of the object and one or more of the entries of Column II may be the cause of motions described in Column I. Match the entries of Column I with the entries of Column II.

$\begin{array}{cccc}& \text{Column I}& & \text{Column II}\\ \text{i.}& \text{An object is moving}& \text{a.}& \text{Net force acting on the}\\ & \text{towards east}& & \text{object must be towards east}\\ \text{ii.}& \text{An object is moving}& \text{b.}& \text{At least one force must}\\ & \text{towards east with}& & \text{act towards east}\\ & \text{constant acceleration}& & \\ \text{iii.}& \text{An object is moving}& \text{c.}& \text{No force may act towards}\\ & \text{towards east with vary-}& & \text{east}\\ & \text{ing acceleration}& & \\ \text{iv.}& \text{An object is moving}& \text{d.}& \text{No force may act on the}\\ & \text{towards east with con-}& & \text{object}\\ & \text{stant velocity}& & \end{array}$

• A. i-c, d; ii-a, c; iii-a, c; iv-c, d
• B. i-c, d; ii-a, c; iii-a, d; iv-c, d
• C. i-c; ii-a, c; iii-a, c; iv-c, d
• D. i-c, d; ii-a, c; iii-a, c; iv-c, d

Answer 1

The correct option is A i-c, d; ii-a, c; iii-a, c; iv-c, d

For (i), it is not mentioned whether the object is accelerated or moving with a constant velocity. So nothing can be predicted with surety.
If no net force is acting along east; then also it can move with a constant velocity, and if no force is acting at all, then also it can move with a constant velocity.
For (ii) and (iii): As the object is accelerated (whether uniform or non-uniform) a force must act on the object in such a manner that a component or whole of the force would be along east, and also the net force must be towards east.
For (iv): It is moving with a constant velocity, so the net force is zero, that is, it implies no force may act on the object.