An alpha particle enters a hollow tube of $4 \, m$ length with an initial speed of $1 \, km/s$. It is accelerated in the tube and comes out of it with a speed of $9 \, km/s$. The time for which it remains inside the tube is
- A$8 \times 10^{-3} \, s$
- B$80 \times 10^{-3} \, s$
- C$800 \times 10^{-3} \, s$
- D$8 \times 10^{-4} \, s$
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Match the relations in Column-$I$ with the equations in Column-$II$ for uniformly accelerated motion.
Column-$I$ Column-$II$ $(1)$ Velocity-time relation $(a)$ $v = v_0 + at$ $(2)$ Velocity-displacement relation $(b)$ $S = v_0t + \frac{1}{2}at^2$ $(c)$ $v^2 = v_0^2 + 2as$
| Column-$I$ | Column-$II$ |
|---|---|
| $(1)$ Velocity-time relation | $(a)$ $v = v_0 + at$ |
| $(2)$ Velocity-displacement relation | $(b)$ $S = v_0t + \frac{1}{2}at^2$ |
| $(c)$ $v^2 = v_0^2 + 2as$ |
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