The position of a particle at time $t$ is given by the relation $x(t) = \left( {\frac{{{v_0}}}{\alpha }} \right)\,\,(1 - {e^{ - \alpha t}})$, where ${v_0}$ is a constant and $\alpha > 0$. The dimensions of ${v_0}$ and $\alpha $ are respectively
The position of a particle at time $t$ is given by the relation $x(t) = \left( {\frac{{{v_0}}}{\alpha }} \right)\,\,(1 - {e^{ - \alpha t}})$, where ${v_0}$ is a constant and $\alpha > 0$. The dimensions of ${v_0}$ and $\alpha $ are respectively
- A
${M^0}{L^1}{T^{ - 1}}$ and ${T^{ - 1}}$
- B
${M^0}{L^1}{T^0}$ and ${T^{ - 1}}$
- C
${M^0}{L^1}{T^{ - 1}}$ and $L{T^{ - 2}}$
- D
${M^0}{L^1}{T^{ - 1}}$ and $T$
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- [KVPY 2014]