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A conducting rod {P}{Q} of mass {m} and length {l} is placed o

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A conducting rod $P Q$ of mass $m$ and length $l$ is placed on two long parallel (smooth and conducting) rails connected to a capacitor as shown. The rod $P Q$ is connected to a non conducting spring of spring constant $k$ , which is initially in relaxed state. The entire arrangement is placed in a magnetic feild perpendicular to the plane of figure.
Neglect the resistance of the rails and rod.
Now, the rod is imparted a velocity $v_{0}$ towards right, then acceleration of the rod as a function of its displacement $x$ given by

\frac{k x}{m}

\frac{k x}{m + B ^{2} l ^{2} C}

\frac{k x}{m - B ^{2} l ^{2} C}

\frac{k x}{B ^{2} l ^{2} C}

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Evelyn Discussed

A conducting rod

P Q

of mass

m

and length

l

is placed on two long parallel (smooth and conducting) rails connected to a capacitor as shown. The rod

P Q

is connected to a non conducting spring of spring constant

k

, which is initially in relaxed state. The entire arrangement is placed in a magnetic feild perpendicular to the plane of figure.
Neglect the resistance of the rails and rod.
Now, the rod is imparted a velocity

v_{0}

towards right, then acceleration of the rod as a function of its displacement

x

given by

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Question Text	A conducting rod $P Q$ of mass $m$ and length $l$ is placed on two long parallel (smooth and conducting) rails connected to a capacitor as shown. The rod $P Q$ is connected to a non conducting spring of spring constant $k$ , which is initially in relaxed state. The entire arrangement is placed in a magnetic feild perpendicular to the plane of figure. Neglect the resistance of the rails and rod. Now, the rod is imparted a velocity $v_{0}$ towards right, then acceleration of the rod as a function of its displacement $x$ given by
Answer Type	Video solution: 1
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