Question

An electric line of force in the xy plane is given by equation x2+y2=1. A particle with unit positive charge, initially at rest at the point x=1,y=0 in the xy plane

Answer 1

your question is incomplete. A complete question is -----> An electric line of force in the xy plane is given by equation x² + y² = 1. A particle with unit positive charge, initially at rest at the point x = 1, y = 0 in the xy plane,

A) not move at all.

B) will move along straight line.

C)will move along the circular line of force.

D) information is insufficient to draw any conclusion.

answer : option (C)

explanation : we know, standard equation of circle is x² + y² + 2gx + 2fy + c = 0 , where $g,f,c\in\mathbb{R}$

An electric line of force in the xy plane is given by equation x² + y² = 1 is similar equation of circle. where g = 0, f = 0 and c = 1

hence, center of x² + y² = 1 is (0,0) and radius is 1.

here equation of electric lines of force is circular so, particle will move along the circular line of force.

hence, option (c) is correct choice.

Answer 2

Explanation:

option B is answer please check i have given explanation