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Moving Charges and Magnetism question

2018 · Q122
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Moving Charges and Magnetism question

2018 · Q122

NEETPhysicsMoving Charges and MagnetismMCQ+4 / −1
A metallic rod of mass per unit length 0.5 kg m–1 is lying horizontally on a smooth inclined plane which makes an angle of 30° with the horizontal. The rod is not allowed to slide down by flowing a current through it when a magnetic field of induction 0.25 T is acting on it in the vertical direction. The current flowing in the rod to keep it stationary is
  1. A
    7.14 A
  2. B
    5.98 A
  3. C
    14.76 A
  4. D
    11.32 A
View written solutionFree

Correct answer: D

Given Mass per unit length of a metallic rod is
ml{m \over l}lm​ = 0.5 kg m-1

NEET 2018 Physics - Moving Charges and Magnetism Question 22 English Explanation


From figure, for equilibrium

mg sin 30o = IlllB cos 30o

⇒\Rightarrow⇒ I = mglBtan⁡30∘{{mg} \over {lB}}\tan 30^\circ lBmg​tan30∘

= 0.5×9.80.25×3{{0.5 \times 9.8} \over {0.25 \times \sqrt 3 }}0.25×3​0.5×9.8​ = 11.32 A

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