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(A) Statement $(A)$ is true: In the absence of an external electric field,free electrons move randomly in all directions due to thermal energy. Betwee

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$A$ and $B$ are true

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(A) Statement $(A)$ is true: In the absence of an external electric field,free electrons move randomly in all directions due to thermal energy. Between two successive collisions,there is no external force acting on the electron,so it moves in a straight line at a constant velocity.Statement $(B)$ is true: When an electric field $E$ is applied,the electrons experience a force $F = -eE$. This force causes a constant average acceleration $a = -eE/m$. The drift velocity is defined as $v_d = a	au$,where $	au$ is the average relaxation time. Since $a$ and $	au$ are constant for a given conductor and temperature,the drift velocity $v_d$ is independent of time.

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