A block of mass `1kg `is placed on a rough horizontal surface. A spring is attached to the block whose other end is joined to a rigid wall, as shown in the figure. A horizontal force is applied on the block so that it remains at rest while the spring is elongated by `x(x ge (mumg)/(k))`. Let `F_(max)` and `F_(mi n)` be the maximum and minimum values of force `F` for which the block remains in equilibrium. For a particular `x, F_(max)-F_(mi n)=2N`. Also shown is the variation of `F_(max)+F_(mi n)` versus `x`, the elongation of the spring.

The value of `F_(mi n)`, if `x=3cm` is `:`

Options

A. 0
B. `0.2N`
C. `5N`
D. `1N`

Answer

A

Explanation

When `x=0.03`
`kx=25xx0.3`
`=0.75N`, which is less than `mu mg=0.1xx10=1N`
`:. ` The block will be at rest, without applying force `F`.