Dipole in a Magnetic Field
PHXII05:MAGNETISM and MATTER

360426 A short bar magnet, placed with its axis at \({30^{\circ}}\) with a uniform external magnetic field of \({0.16 T}\) experiences a torque of magnitude 0.032 J . The magnetic moment of the bar magnet will be

1 \({0.23 {~J} / T}\)
2 \({0.40 {~J} / {T}}\)
3 \({0.80 J / T}\)
4 zero
PHXII05:MAGNETISM and MATTER

360427 A bar magnet of magnetic moment \(200\;A - {m^2}\) is suspended in a magnetic field of intensity \(0.25\;N/A - m\). The couple required to deflect it through \(30^{\circ}\) is

1 \(15\;N - m\)
2 \(25\;N - m\)
3 \(50\;N - m\)
4 20\(Nm\)
PHXII05:MAGNETISM and MATTER

360428 A bar magnet of moment \(M=\hat{i}+\hat{j}\) is placed in a magnetic field induction \(\vec{B}=3 \hat{i}+4 \hat{j}+4 \hat{k}\). The torque acting on the magnet is

1 \(4 \hat{i}-4 \hat{j}+\hat{k}\)
2 \(\hat{i}+\hat{k}\)
3 \(\hat{i}-\hat{j}\)
4 \(\hat{i}+\hat{j}+\hat{k}\)
PHXII05:MAGNETISM and MATTER

360429 A magnetic needle lying parallel to a magnetic field required \(W\) units of work to turn it through \(90^{\circ}\). The torque required to maintain the needle in this position will be

1 \(W\)
2 2\(W\)
3 \(\sqrt{3} W\)
4 \(\dfrac{\sqrt{3}}{2} W\)
PHXII05:MAGNETISM and MATTER

360426 A short bar magnet, placed with its axis at \({30^{\circ}}\) with a uniform external magnetic field of \({0.16 T}\) experiences a torque of magnitude 0.032 J . The magnetic moment of the bar magnet will be

1 \({0.23 {~J} / T}\)
2 \({0.40 {~J} / {T}}\)
3 \({0.80 J / T}\)
4 zero
PHXII05:MAGNETISM and MATTER

360427 A bar magnet of magnetic moment \(200\;A - {m^2}\) is suspended in a magnetic field of intensity \(0.25\;N/A - m\). The couple required to deflect it through \(30^{\circ}\) is

1 \(15\;N - m\)
2 \(25\;N - m\)
3 \(50\;N - m\)
4 20\(Nm\)
PHXII05:MAGNETISM and MATTER

360428 A bar magnet of moment \(M=\hat{i}+\hat{j}\) is placed in a magnetic field induction \(\vec{B}=3 \hat{i}+4 \hat{j}+4 \hat{k}\). The torque acting on the magnet is

1 \(4 \hat{i}-4 \hat{j}+\hat{k}\)
2 \(\hat{i}+\hat{k}\)
3 \(\hat{i}-\hat{j}\)
4 \(\hat{i}+\hat{j}+\hat{k}\)
PHXII05:MAGNETISM and MATTER

360429 A magnetic needle lying parallel to a magnetic field required \(W\) units of work to turn it through \(90^{\circ}\). The torque required to maintain the needle in this position will be

1 \(W\)
2 2\(W\)
3 \(\sqrt{3} W\)
4 \(\dfrac{\sqrt{3}}{2} W\)
PHXII05:MAGNETISM and MATTER

360426 A short bar magnet, placed with its axis at \({30^{\circ}}\) with a uniform external magnetic field of \({0.16 T}\) experiences a torque of magnitude 0.032 J . The magnetic moment of the bar magnet will be

1 \({0.23 {~J} / T}\)
2 \({0.40 {~J} / {T}}\)
3 \({0.80 J / T}\)
4 zero
PHXII05:MAGNETISM and MATTER

360427 A bar magnet of magnetic moment \(200\;A - {m^2}\) is suspended in a magnetic field of intensity \(0.25\;N/A - m\). The couple required to deflect it through \(30^{\circ}\) is

1 \(15\;N - m\)
2 \(25\;N - m\)
3 \(50\;N - m\)
4 20\(Nm\)
PHXII05:MAGNETISM and MATTER

360428 A bar magnet of moment \(M=\hat{i}+\hat{j}\) is placed in a magnetic field induction \(\vec{B}=3 \hat{i}+4 \hat{j}+4 \hat{k}\). The torque acting on the magnet is

1 \(4 \hat{i}-4 \hat{j}+\hat{k}\)
2 \(\hat{i}+\hat{k}\)
3 \(\hat{i}-\hat{j}\)
4 \(\hat{i}+\hat{j}+\hat{k}\)
PHXII05:MAGNETISM and MATTER

360429 A magnetic needle lying parallel to a magnetic field required \(W\) units of work to turn it through \(90^{\circ}\). The torque required to maintain the needle in this position will be

1 \(W\)
2 2\(W\)
3 \(\sqrt{3} W\)
4 \(\dfrac{\sqrt{3}}{2} W\)
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PHXII05:MAGNETISM and MATTER

360426 A short bar magnet, placed with its axis at \({30^{\circ}}\) with a uniform external magnetic field of \({0.16 T}\) experiences a torque of magnitude 0.032 J . The magnetic moment of the bar magnet will be

1 \({0.23 {~J} / T}\)
2 \({0.40 {~J} / {T}}\)
3 \({0.80 J / T}\)
4 zero
PHXII05:MAGNETISM and MATTER

360427 A bar magnet of magnetic moment \(200\;A - {m^2}\) is suspended in a magnetic field of intensity \(0.25\;N/A - m\). The couple required to deflect it through \(30^{\circ}\) is

1 \(15\;N - m\)
2 \(25\;N - m\)
3 \(50\;N - m\)
4 20\(Nm\)
PHXII05:MAGNETISM and MATTER

360428 A bar magnet of moment \(M=\hat{i}+\hat{j}\) is placed in a magnetic field induction \(\vec{B}=3 \hat{i}+4 \hat{j}+4 \hat{k}\). The torque acting on the magnet is

1 \(4 \hat{i}-4 \hat{j}+\hat{k}\)
2 \(\hat{i}+\hat{k}\)
3 \(\hat{i}-\hat{j}\)
4 \(\hat{i}+\hat{j}+\hat{k}\)
PHXII05:MAGNETISM and MATTER

360429 A magnetic needle lying parallel to a magnetic field required \(W\) units of work to turn it through \(90^{\circ}\). The torque required to maintain the needle in this position will be

1 \(W\)
2 2\(W\)
3 \(\sqrt{3} W\)
4 \(\dfrac{\sqrt{3}}{2} W\)