1.

Two identical positive charges are fixed on the y-axis, at equal distances from the origin O. A particle with a negative charge starts on the negative x-axis at a large distance from O, moves along the x-axis, passed through O and moves far away from O. Ita acceleration a is taken as positive along its direction of motion. The particle's acceleration ais plotter against its x-co-ordinate. Which of the following best represents the plot ?

Answer»

Solution :When the particle is to the left of the origin O, the net force F on it is towards and HENCE, cause acceleration a `F = 2F_0 COS theta`
`= 2k (qQ)/((x^2 + 1^2)) cdot x/(SQRT(x^2 + 1^2))`
`2kQ q (x)/((x^2 + 1^2)^3//2)`
F is zero for large values of x and also for x=0.

Thus, it must increase to a maximum and fall to zero at O. The acceleration a=F/m, must have the same nature. To the right of O, the net force is to the left while motion is to the right. Thus, the direction of a is opposite to the particle.s direction of motion and is TAKEN as negative. The variation of a with x will follow the same pattern. Hence, 2nd graph represents the pattern.


Discussion

No Comment Found

Related InterviewSolutions