Which of the following statements regarding magnetic lines of force is correct?

  • A

    Total magnetic flux linked with a closed surface is always zero

  • B

    They need not be perpendicular to the surface from where they start or where they meet

  • C

    They may or may not pass through a conductor

  • D

    All of these

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Two circular coils $P$ and $Q$of $100$ turns each have same radius of $\pi \mathrm{cm}$. The currents in $\mathrm{P}$ and $\mathrm{R}$ are $1 \mathrm{~A}$ and $2 \mathrm{~A}$ respectively. $\mathrm{P}$ and $\mathrm{Q}$ are placed with their planes mutually perpendicular with their centers coincide. The resultant magnetic field induction at the center of the coils is $\sqrt{\mathrm{x}} \mathrm{mT}$, where X=___.

$\left[\text { Use } \mu_0=4 \pi \times 10^{-7} \mathrm{TmA}^{-1}\right]$

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The fractional change in the magnetic field intensity at a distance $'r'$ from centre on the axis of current carrying coil of radius $'a'$ to the magnetic field intensity at the centre of the same coil is : (Take $r << a )$

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The magnetic induction at the centre $O$ of the current carrying bent wire shown in the adjoining figure is