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Question

A charged particle is whirled in a horizontal circle on a frictionless table by attaching it to a string fixed at one end. If a magnetic field is switched on in the vertical direction, the tension in the string

A
will increase.
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B
will decrease.
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C
remains same.
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D
may increase or decrease.
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Solution

The correct option is D may increase or decrease.
Let the string makes an angle θ with the vertical.

Initially, before the magnetic field is applied, Tsinθ=mv2r

If the particle experiences a force outward in the direction of the radius, tension T will increase.
If the particle experiences a force inward in the direction of the radius towards the center, tension T will decrease.

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