A particle of unit mass undergoes one dimensional motion such that its velocity varies according to $ v(x)= \beta {x^{ - 2n}}$, where $\beta$ and $n$ are constants and $x$ is the position of the particle. The acceleration of the particle as a function of $x$, is given by
A particle of unit mass undergoes one dimensional motion such that its velocity varies according to $ v(x)= \beta {x^{ - 2n}}$, where $\beta$ and $n$ are constants and $x$ is the position of the particle. The acceleration of the particle as a function of $x$, is given by
- [AIPMT 2015]
- A
$-2n$${\beta ^2}{X^{ - 2n - 1}}$
- B
$-2n$${\beta ^2}{X^{ - 4n - 1}}$
- C
$-2n$${\beta ^2}{X^{ - 2n + 1}}$
- D
$-2n$${\beta ^2}{X^{ - 4n + 1}}$
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