A long vertical wire carries a steady current of $5.0 \,A$. Asensitive magnetic compass is placed in a plane perpendicular to the wire and $10.0$ $cm$ south of it. It registers a deflection $60^{\circ}$ north of east. The magnitude of the horizontal component of the earth's magnetic field is (permeability of free space is $4 \pi \times 10^{-7} \,N/A{ }^2$ )
A long vertical wire carries a steady current of $5.0 \,A$. Asensitive magnetic compass is placed in a plane perpendicular to the wire and $10.0$ $cm$ south of it. It registers a deflection $60^{\circ}$ north of east. The magnitude of the horizontal component of the earth's magnetic field is (permeability of free space is $4 \pi \times 10^{-7} \,N/A{ }^2$ )
- [KVPY 2021]
- A
$0.0 \,T$
- B
$0.6 \times 10^{-5} \,T$
- C
$1.0 \times 10^{-5} \,T$
- D
$1.7 \times 10^{-5} \,T$
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- [AIIMS 2000]
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