A positive, singly ionized atom of mass number A_ M is accelerated from rest by the voltage 192 ~V . Thereafter, it enters a rectangular region of width w with magnetic field B _0=0.1 k Tesla, as shown in the figure. The ion finally hits a detector at the distance x below its starting trajectory. [Given: Mass of neutron/proton =(5 / 3) 10^ -27 ~kg , charge of the electron =1.6 10^ -19 C .] Which of the following option(s) is(are) correct?
B. The value of x for an ion with A_ M =144 is 48 ~cm .
aligned & x =2 R \\ & x =2 P qB x = 2 2 mqV qB x = 2 ~B 2 mV q aligned Option A For H ^ + m = 5 3 10^ -27 ~kg x= 2 0.1 2 5 3 10^ -27 192 1.6 10^ -19 =4 ~cm Option B For A _ m =144 x= 2 0.1 2 144 5 3 10^ -27 192 1.6 10^ -19 =48 ~cm Option C for A _m=1 x =4 ~cm \& for A _ m =196 x =56 ~cm . so x _0=4 ~cm \& x _1=56 ~cm x _1- x _0=52 ~cm . Option D Minimum width =R for A _ M =196 aligned & R = P qB = 2 mqV qB \\ & R = 1 ~B 2 mV q \\ & w _ = R = 1 0.1 2 196 5 3 10^ -27 192 1.6 10^ -19 =28 ~cm aligned
Related: Physics — Magnetic Effects of Current · All PYQ Banks