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QAIPM-2015-Ph-1341: NEET 2015 Physics - Class 11 AIPM-2015-Ph-1341 Solution: A particle of unit mass undergoes one-dimensional motion such…

A particle of unit mass undergoes one-dimensional motion such that its velocity varies according to v(x)=βx−2nv(x) = \beta x^{-2n} where β\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 −2nβ2x−4n−1-2n\beta^2 x^{-4n-1} −2nβ2e−4n+1-2n\beta^2 e^{-4n+1} −2nβ2x−2n−1-2n\beta^2 x^{-2n-1} −2nβ2x−4n+1-2n\beta^2 x^{-4n+1}

Multiple Choice Options

  • A −2β2x−2n+1- 2{\beta ^2}{x^{ - 2n + 1}} _ 2 _ 2 x _ 2 n + 1
  • B −2nβ2e−4n+1- 2n{\beta ^2}{e^{ - 4n + 1}} _ 2 n _ 2 e _ 4 n + 1
  • C −2nβ2x−2n−1- 2n{\beta ^2}{x^{ - 2n - 1}} _ 2 n _ 2 x _ 2 n _ 1
  • D −2nβ2x−4n−1- 2n{\beta ^2}{x^{ - 4n - 1}} _ 2 n _ 2 x _ 4 n _ 1

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