Question

2 particles have the same net negative charge, -q but different masses, m and M.   Both particles are initially moving directly toward the right along the x-axis with the same velocity as they enter the uniform electric field. If the larger mass, M, is exactly twice the smaller mass, m (i.e, M = 2m), which of the following best describes the motion of the larger mass, M

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-q Select the correct answer Mass M will be deflected upward with half the acceleration as mass m. Mass M will be deflected upward with the same acceleration as mass m Mass M will be deflected downward with the same acceleration as masS m. Mass M will be deflected downward with half the acceleration as mass m Mass M will be deflected upward with twice the acceleration as mass m Mass ЛГ will be deflected downward with twice the acceleration as mass m

Answer 1

Let as go to the basics first As both particles are negatively charged so they will be (opp. To direction of electric filed). Now, force on smaller mass F_1 = q E acceleration, a_1 of smaller mass a_1 = qE/m equation (1) a_2 of bigger mass a_2 = qE/M equation (2) (1) (2) = > a_1/a_2 = M/m = > a_1/a_2 = 2m/m = > a_1/a_2 = 2 = > a_1 = 2 a_2 so, smaller mass will have twice acceleration = > Correct option = > first = > mass M will be up ward with half acceleration as mass on.