MCQ
The displacement x of a particle varies with time according to the relation $\text{x}=\frac{\text{a}}{\text{b}}(1-\text{e}^{-\text{bt}}).$ The:
- AAt $t=\frac{1}{\text{b}},$ the displacement of the particle is nearly $\Big(\frac{2}{3}\Big)\Big(\frac{\text{a}}{\text{b}}\Big).$
- BThe particle cannot reach a point at a distance $x$ from its starting position if $\text{x}>\frac{\text{a}}{\text{b}}.$
- CThe velocity and acceleration of the particle at $ t = 0$ are $a$ and $-ab$ respectively.
- ✓The particle will come back to its starting point as $\text{t}\rightarrow\infty.$
