The figure shows a region containing a uniform magnetic field B , which is increasing at the rate d B d t . The region is gravity free. A disc of mass m and radius R is kept in this magnetic field. Tw

Question

The figure shows a region containing a uniform magnetic field $B,$ which is increasing at the rate $\frac{d B}{d t} .$ The region is gravity free. A disc of mass $m$ and radius $R$ is kept in this magnetic field. Two charged particles having charge $q_{1}$ and $q_{2}$ and masses $m$ and $2 m$ are embedded to the non-conducting disc on the circumference at diametrically opposite points. The disc is free to translate as well as rotate.

If $q_{1} =- q$ and $q_{2} = q,$ then the initial acceleration of $q_{1}$ will be

Options:

Answer:

A

Solution:

$E = \frac{R}{2} \frac{d B}{d t}$

$a = \frac{2 q E}{3 m} = \frac{q R}{3 m} \frac{d B}{d t}$

TestHub · Accepted Answer

E = R 2 d B d t a = 2 q E 3 m = q R 3 m d B d t

Physics - EMI/AC Question with Solution | TestHub

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