A thin, straight conducting rod of mass and length can slide without friction on a…

PHYSICS · Single correct · CBSE · Physics · Electromagnetic Induction · Electromagnetic Induction

Problem

A thin, straight conducting rod of mass

0.050\,\text{kg}

and length

0.40\,\text{m}

can slide without friction on a pair of fixed, vertical conducting rails. The rails are connected at the bottom through a resistor of

0.50\,\Omega

. A uniform horizontal magnetic field of

0.80\,\text{T}

is perpendicular to the plane of the rod and rails. If the rod is released from rest, it quickly reaches a terminal speed

v_t

. Which of the following is the closest value of

v_t

? (a)

0.96\,\text{m\,s}^{-1}

(b)

1.9\,\text{m\,s}^{-1}

(c)

2.4\,\text{m\,s}^{-1}

(d)

4.8\,\text{m\,s}^{-1}