The Bar Magnet
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PHXII05:MAGNETISM and MATTER

360626 A 10\(cm\) long magnet has pole strength 12\(Am\). The magnetic field at a distance 2\(m\) from it on its axial line is

1 \(9.0 \times {10^{ - 8}}\;T\)
2 \(3 \times {10^{ - 8}}\;T\)
3 \(2.4 \times {10^{ - 5}}\;T\)
4 \(3.8 \times {10^{ - 6}}\;T\)
PHXII05:MAGNETISM and MATTER

360627 Assertion :
The pole of magnet cannot be separated by breaking into two pieces.
Reason :
The magnetic moment will be reduced to half when a magnet is broken into two equal pieces.

1 Both Assertion and Reason are correct and Reason is the correct explanation of the Assertion.
2 Both Assertion and Reason are correct but Reason is not the correct explanation of the Assertion.
3 Assertion is correct but Reason is incorrect.
4 Assertion is incorrect but reason is correct.
PHXII05:MAGNETISM and MATTER

360628 A north pole of \(40\;A\,{\rm{ - }}\,m\) is placed \(20\;cm\) apart from a south pole of \(80\;A\,{\rm{ - }}\,m\). Calculate the distance of a point from the south pole on the line joining the two poles where the resultant field due to these poles is zero.

1 \(8.2\;cm\) towards north pole
2 \(8.2\;cm\) away from north pole
3 \(48.2\;cm\) towards north pole
4 \(48.2\;cm\) away from north pole
AIIMS - 2013
PHXII05:MAGNETISM and MATTER

360629 Two identical bar magnets each of magnetic moment \(M\), separated by some distance are kept perpendicular to each other. The magnetic induction at a point at the same distance \(d\) from the centre of magnets, is ( \(\mu_{0}=\) permeability of free space)

1 \(\dfrac{\mu_{0}}{4 \pi}(\sqrt{3}) \dfrac{M}{d^{3}}\)
2 \(\dfrac{\mu_{0}}{4 \pi}(\sqrt{2}) \dfrac{M}{d^{3}}\)
3 \(\dfrac{\mu_{0}}{4 \pi}(\sqrt{5}) \dfrac{M}{d^{3}}\)
4 \(\dfrac{2 \mu_{0}}{\pi} \dfrac{M}{d^{3}}\)
PHXII05:MAGNETISM and MATTER

360630 Two identical magnetic dipoles of magnetic moment \(1.0\;A\;{m^2}\) each, placed at a separation of \(2\;m\) with their axes perpendicular to each other. The resultant magnetic field at a point midway between the dipoles is

1 \(\sqrt 5 \times {10^{ - 7}}\;T\)
2 \(5 \times {10^{ - 7}}\;T\)
3 \({10^{ - 7}}\;T\)
4 \(2 \times {10^{ - 7}}\;T\)
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PHXII05:MAGNETISM and MATTER

360626 A 10\(cm\) long magnet has pole strength 12\(Am\). The magnetic field at a distance 2\(m\) from it on its axial line is

1 \(9.0 \times {10^{ - 8}}\;T\)
2 \(3 \times {10^{ - 8}}\;T\)
3 \(2.4 \times {10^{ - 5}}\;T\)
4 \(3.8 \times {10^{ - 6}}\;T\)
PHXII05:MAGNETISM and MATTER

360627 Assertion :
The pole of magnet cannot be separated by breaking into two pieces.
Reason :
The magnetic moment will be reduced to half when a magnet is broken into two equal pieces.

1 Both Assertion and Reason are correct and Reason is the correct explanation of the Assertion.
2 Both Assertion and Reason are correct but Reason is not the correct explanation of the Assertion.
3 Assertion is correct but Reason is incorrect.
4 Assertion is incorrect but reason is correct.
PHXII05:MAGNETISM and MATTER

360628 A north pole of \(40\;A\,{\rm{ - }}\,m\) is placed \(20\;cm\) apart from a south pole of \(80\;A\,{\rm{ - }}\,m\). Calculate the distance of a point from the south pole on the line joining the two poles where the resultant field due to these poles is zero.

1 \(8.2\;cm\) towards north pole
2 \(8.2\;cm\) away from north pole
3 \(48.2\;cm\) towards north pole
4 \(48.2\;cm\) away from north pole
AIIMS - 2013
PHXII05:MAGNETISM and MATTER

360629 Two identical bar magnets each of magnetic moment \(M\), separated by some distance are kept perpendicular to each other. The magnetic induction at a point at the same distance \(d\) from the centre of magnets, is ( \(\mu_{0}=\) permeability of free space)

1 \(\dfrac{\mu_{0}}{4 \pi}(\sqrt{3}) \dfrac{M}{d^{3}}\)
2 \(\dfrac{\mu_{0}}{4 \pi}(\sqrt{2}) \dfrac{M}{d^{3}}\)
3 \(\dfrac{\mu_{0}}{4 \pi}(\sqrt{5}) \dfrac{M}{d^{3}}\)
4 \(\dfrac{2 \mu_{0}}{\pi} \dfrac{M}{d^{3}}\)
PHXII05:MAGNETISM and MATTER

360630 Two identical magnetic dipoles of magnetic moment \(1.0\;A\;{m^2}\) each, placed at a separation of \(2\;m\) with their axes perpendicular to each other. The resultant magnetic field at a point midway between the dipoles is

1 \(\sqrt 5 \times {10^{ - 7}}\;T\)
2 \(5 \times {10^{ - 7}}\;T\)
3 \({10^{ - 7}}\;T\)
4 \(2 \times {10^{ - 7}}\;T\)
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PHXII05:MAGNETISM and MATTER

360626 A 10\(cm\) long magnet has pole strength 12\(Am\). The magnetic field at a distance 2\(m\) from it on its axial line is

1 \(9.0 \times {10^{ - 8}}\;T\)
2 \(3 \times {10^{ - 8}}\;T\)
3 \(2.4 \times {10^{ - 5}}\;T\)
4 \(3.8 \times {10^{ - 6}}\;T\)
PHXII05:MAGNETISM and MATTER

360627 Assertion :
The pole of magnet cannot be separated by breaking into two pieces.
Reason :
The magnetic moment will be reduced to half when a magnet is broken into two equal pieces.

1 Both Assertion and Reason are correct and Reason is the correct explanation of the Assertion.
2 Both Assertion and Reason are correct but Reason is not the correct explanation of the Assertion.
3 Assertion is correct but Reason is incorrect.
4 Assertion is incorrect but reason is correct.
PHXII05:MAGNETISM and MATTER

360628 A north pole of \(40\;A\,{\rm{ - }}\,m\) is placed \(20\;cm\) apart from a south pole of \(80\;A\,{\rm{ - }}\,m\). Calculate the distance of a point from the south pole on the line joining the two poles where the resultant field due to these poles is zero.

1 \(8.2\;cm\) towards north pole
2 \(8.2\;cm\) away from north pole
3 \(48.2\;cm\) towards north pole
4 \(48.2\;cm\) away from north pole
AIIMS - 2013
PHXII05:MAGNETISM and MATTER

360629 Two identical bar magnets each of magnetic moment \(M\), separated by some distance are kept perpendicular to each other. The magnetic induction at a point at the same distance \(d\) from the centre of magnets, is ( \(\mu_{0}=\) permeability of free space)

1 \(\dfrac{\mu_{0}}{4 \pi}(\sqrt{3}) \dfrac{M}{d^{3}}\)
2 \(\dfrac{\mu_{0}}{4 \pi}(\sqrt{2}) \dfrac{M}{d^{3}}\)
3 \(\dfrac{\mu_{0}}{4 \pi}(\sqrt{5}) \dfrac{M}{d^{3}}\)
4 \(\dfrac{2 \mu_{0}}{\pi} \dfrac{M}{d^{3}}\)
PHXII05:MAGNETISM and MATTER

360630 Two identical magnetic dipoles of magnetic moment \(1.0\;A\;{m^2}\) each, placed at a separation of \(2\;m\) with their axes perpendicular to each other. The resultant magnetic field at a point midway between the dipoles is

1 \(\sqrt 5 \times {10^{ - 7}}\;T\)
2 \(5 \times {10^{ - 7}}\;T\)
3 \({10^{ - 7}}\;T\)
4 \(2 \times {10^{ - 7}}\;T\)
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PHXII05:MAGNETISM and MATTER

360626 A 10\(cm\) long magnet has pole strength 12\(Am\). The magnetic field at a distance 2\(m\) from it on its axial line is

1 \(9.0 \times {10^{ - 8}}\;T\)
2 \(3 \times {10^{ - 8}}\;T\)
3 \(2.4 \times {10^{ - 5}}\;T\)
4 \(3.8 \times {10^{ - 6}}\;T\)
PHXII05:MAGNETISM and MATTER

360627 Assertion :
The pole of magnet cannot be separated by breaking into two pieces.
Reason :
The magnetic moment will be reduced to half when a magnet is broken into two equal pieces.

1 Both Assertion and Reason are correct and Reason is the correct explanation of the Assertion.
2 Both Assertion and Reason are correct but Reason is not the correct explanation of the Assertion.
3 Assertion is correct but Reason is incorrect.
4 Assertion is incorrect but reason is correct.
PHXII05:MAGNETISM and MATTER

360628 A north pole of \(40\;A\,{\rm{ - }}\,m\) is placed \(20\;cm\) apart from a south pole of \(80\;A\,{\rm{ - }}\,m\). Calculate the distance of a point from the south pole on the line joining the two poles where the resultant field due to these poles is zero.

1 \(8.2\;cm\) towards north pole
2 \(8.2\;cm\) away from north pole
3 \(48.2\;cm\) towards north pole
4 \(48.2\;cm\) away from north pole
AIIMS - 2013
PHXII05:MAGNETISM and MATTER

360629 Two identical bar magnets each of magnetic moment \(M\), separated by some distance are kept perpendicular to each other. The magnetic induction at a point at the same distance \(d\) from the centre of magnets, is ( \(\mu_{0}=\) permeability of free space)

1 \(\dfrac{\mu_{0}}{4 \pi}(\sqrt{3}) \dfrac{M}{d^{3}}\)
2 \(\dfrac{\mu_{0}}{4 \pi}(\sqrt{2}) \dfrac{M}{d^{3}}\)
3 \(\dfrac{\mu_{0}}{4 \pi}(\sqrt{5}) \dfrac{M}{d^{3}}\)
4 \(\dfrac{2 \mu_{0}}{\pi} \dfrac{M}{d^{3}}\)
PHXII05:MAGNETISM and MATTER

360630 Two identical magnetic dipoles of magnetic moment \(1.0\;A\;{m^2}\) each, placed at a separation of \(2\;m\) with their axes perpendicular to each other. The resultant magnetic field at a point midway between the dipoles is

1 \(\sqrt 5 \times {10^{ - 7}}\;T\)
2 \(5 \times {10^{ - 7}}\;T\)
3 \({10^{ - 7}}\;T\)
4 \(2 \times {10^{ - 7}}\;T\)
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PHXII05:MAGNETISM and MATTER

360626 A 10\(cm\) long magnet has pole strength 12\(Am\). The magnetic field at a distance 2\(m\) from it on its axial line is

1 \(9.0 \times {10^{ - 8}}\;T\)
2 \(3 \times {10^{ - 8}}\;T\)
3 \(2.4 \times {10^{ - 5}}\;T\)
4 \(3.8 \times {10^{ - 6}}\;T\)
PHXII05:MAGNETISM and MATTER

360627 Assertion :
The pole of magnet cannot be separated by breaking into two pieces.
Reason :
The magnetic moment will be reduced to half when a magnet is broken into two equal pieces.

1 Both Assertion and Reason are correct and Reason is the correct explanation of the Assertion.
2 Both Assertion and Reason are correct but Reason is not the correct explanation of the Assertion.
3 Assertion is correct but Reason is incorrect.
4 Assertion is incorrect but reason is correct.
PHXII05:MAGNETISM and MATTER

360628 A north pole of \(40\;A\,{\rm{ - }}\,m\) is placed \(20\;cm\) apart from a south pole of \(80\;A\,{\rm{ - }}\,m\). Calculate the distance of a point from the south pole on the line joining the two poles where the resultant field due to these poles is zero.

1 \(8.2\;cm\) towards north pole
2 \(8.2\;cm\) away from north pole
3 \(48.2\;cm\) towards north pole
4 \(48.2\;cm\) away from north pole
AIIMS - 2013
PHXII05:MAGNETISM and MATTER

360629 Two identical bar magnets each of magnetic moment \(M\), separated by some distance are kept perpendicular to each other. The magnetic induction at a point at the same distance \(d\) from the centre of magnets, is ( \(\mu_{0}=\) permeability of free space)

1 \(\dfrac{\mu_{0}}{4 \pi}(\sqrt{3}) \dfrac{M}{d^{3}}\)
2 \(\dfrac{\mu_{0}}{4 \pi}(\sqrt{2}) \dfrac{M}{d^{3}}\)
3 \(\dfrac{\mu_{0}}{4 \pi}(\sqrt{5}) \dfrac{M}{d^{3}}\)
4 \(\dfrac{2 \mu_{0}}{\pi} \dfrac{M}{d^{3}}\)
PHXII05:MAGNETISM and MATTER

360630 Two identical magnetic dipoles of magnetic moment \(1.0\;A\;{m^2}\) each, placed at a separation of \(2\;m\) with their axes perpendicular to each other. The resultant magnetic field at a point midway between the dipoles is

1 \(\sqrt 5 \times {10^{ - 7}}\;T\)
2 \(5 \times {10^{ - 7}}\;T\)
3 \({10^{ - 7}}\;T\)
4 \(2 \times {10^{ - 7}}\;T\)