Magnetic Effects of Current & Magnetism · JEE Advanced previous year questions

2024 4 questions

1. Q192024 · 26 May 2024 · Paper 1

   An infinitely long wire, located on the $z$-axis, carries a current $I$ along the $+z$-direction and produces the magnetic field $\vec{B}$. The magnitude of the line integral $\int \vec{B}\cdot d\vec{l}$ along a straight line from the point $(-\sqrt{3}a,a,0)$ to $(a,a,0)$ is given by [${\mu }_0$ is the magnetic permeability of free space.]

   1. A.$7{\mu }_{0}I/24$
   2. B.$7{\mu }_{0}I/12$
   3. C.${\mu }_{0}I/8$
   4. D.${\mu }_{0}I/6$
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   Answer: A

2. Q182024 · 26 May 2024 · Paper 2
   
   1. A.(A)
   2. B.(B)
   3. C.(C)
   4. D.(D)
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   Answer: A

3. Q212024 · 26 May 2024 · Paper 2
   
   1. A.$\tan \theta =\pi rI{B}_0/(mg)$
   2. B.$\tan \theta =2\pi rI{B}_0/(mg)$
   3. C.$\tan \theta =\pi rI{B}_0/(2mg)$
   4. D.$\tan \theta =mg/(\pi rI{B}_0)$
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   Answer: A

4. Q242024 · 26 May 2024 · Paper 2· One or more correct
   
   1. A.The value of $x$ for $H^{+}$ ion is 4 cm.
   2. B.The value of $x$ for an ion with $A_{\mathrm{M}}=144$ is 48 cm.
   3. C.For detecting ions with $1\le A_{\mathrm{M}}\le 196$, the minimum height $(x_1-x_0)$ of the detector is 55 cm.
   4. D.The minimum width $w$ of the region of the magnetic field for detecting ions with $A_{\mathrm{M}}=196$ is 56 cm.
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   Answer: A, B