A particle of unit mass is moving along the x-axis under the influence of a force...

Transcribed Image Text:

A particle of unit mass is moving along the x-axis under the influence of a force and its total energy is conserved. Four possible forms of the potential energy of the particle are given in column I (a and U are constants). Match the potential energies in column I to the corresponding statement(s) in column II. Column I Column II (A) (B) U(x)= 1- U 2 U(x) = (C) U (x)= U(x 0 2 (D) U(x) = - 4()*[)] exp a a 2 a X 1/x 0-4[10] 2 a 3 a (P) (Q) The force acting on the particle is zero at x = 0. (R) (S) The force acting on the particle is zero at x = a. (T) The force acting on the particle is zero at x = - a. The particle experiences an attractive force towards x = 0 in the region |x| A particle of unit mass is moving along the x-axis under the influence of a force and its total energy is conserved. Four possible forms of the potential energy of the particle are given in column I (a and U are constants). Match the potential energies in column I to the corresponding statement(s) in column II. Column I Column II (A) (B) U(x)= 1- U 2 U(x) = (C) U (x)= U(x 0 2 (D) U(x) = - 4()*[)] exp a a 2 a X 1/x 0-4[10] 2 a 3 a (P) (Q) The force acting on the particle is zero at x = 0. (R) (S) The force acting on the particle is zero at x = a. (T) The force acting on the particle is zero at x = - a. The particle experiences an attractive force towards x = 0 in the region |x|