Question

A particle of unit mass undergoes one dimensional motion such that its velocity varies according to v(x) = β x^-2n, where B 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) -2β²x^-2n+1

(b) -2nβ²e^-4n+1

(c) -2nβ²x^-2n-1

(d) -2nβ²x^-4n-1

Answer 1

Correct option (d) -2nβ²x^-4n-1

Explanation:

According to question, velocity of unit mass varies as

v(x) = β x^-2n   ...(i)

dv/dx = -2nβ²x^-2n-1

Acceleration of the particle is given by