Question types

Permanent Magnets question types

54 questions across 4 question groups — pick any mix to generate a Physics paper with step-by-step answer keys.

54
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4
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5
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Sample Questions

Permanent Magnets questions

One sample from each question group in this chapter. Select any group above to see the full set with answer keys.

Q 2M.C.Q [1M]1 Mark
Let r be the distance of a point on the axis of a bar magnet from its centre. The magnetic field at such a point is proportional to:

  1. $\frac{1}{\text{r}}$

  2. $\frac{1}{\text{r}^2}$

  3. $\frac{1}{\text{r}^3}$

  4. None of these.

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Q 3M.C.Q [1M]1 Mark
Consider a magnetic dipole kept in the north to south direction. Let P1, P2, Q1, Q2 be four points at the same distance from the dipole towards north, south, east and west of the dipole respectively. The directions of the magnetic field due to the dipole are the same at:
  1. P1 and P2
  2. Q1 and Q2
  3. P1 and Q1
  4. P2 and Q2
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Q 4M.C.Q [1M]1 Mark
A horizontal circular loop carries a current that looks clockwise when viewed from above. It is replaced by an equivalent magnetic dipole consisting of a south pole S and a north pole N:
  1. The line SN should be along a diameter of the loop.
  2. The line SN should be perpendicular to the plane of the loop.
  3. The south pole should be slow the loop.
  4. The north pole should be below the loop.
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Q 5M.C.Q [1M]1 Mark
Two short magnets of equal dipole moments M are fastened perpendicularly at their centre (figure). The magnitude of the magnetic field at a distance d from the centre on the bisector of the right angle is:

  1. $\frac{\mu_0}{4\pi}\frac{\text{m}}{\text{d}^3}$

  2. $\frac{\mu_0}{4\pi}\frac{\sqrt{2}\text{M}}{\text{d}^3}$

  3. $\frac{\mu_0}{4\pi}\frac{\sqrt[2]{2}\text{M}}{\text{d}^3}$

  4. $\frac{\mu_0}{4\pi}\frac{2\text{M}}{\text{d}^3}$

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Magnetic scalar potential is defined as

$\text{U}(\overrightarrow{\text{r}_2})-\text{U}(\overrightarrow{\text{r}_1})=-\int\limits^{\vec{\text{r}}_2}_{\vec{\text{r}_1}} \vec{\text{B}}.\text{d}\vec{\text{l}}.$

Apply this equation to a closed curve enclosing a long atraicht wire. The RHS of the above equation is then $-{\mu}_\text{o} \text{ i}$ by Ampere's law. We see that $\text{U}(\vec{\text{r}_2})\neq\text{U}(\vec{\text{r}_1})$ even when $\vec{\text{r}_2}=\vec{\text{r}_1}.$Can we have a magnetic acalar potential in this case?

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Can the earth's magnetic field be vertical at a place? What will happen to a lreely suspended magnet at such a place? What is the value of dip here?
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To measure the magnetic moment of a bar magnet, one may use:
  1. A tangent galvanometer.
  2. A deflection galvanometer if the earth's horizontal field is known.
  3. An oscillation magnetometer if the earth's horizontal field is known.
  4. Both deflection and oscillation magnetometer if the earth's horizontal field is not known.
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Sketch the magnetic field lines for a current-carrying circular loop near its centre. Replace the loop by an equivalent magnetic dipole and sketch the magnetic field lines near the centre of the dipole. Identify the difference.
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Two bar magnets are placed close to each other with their opposite poles facing each other. In absence of other force the magnets are pulled towards each other and their kinetic energy increases. Does it contradict our earher knowledge that magnetic forces cannot do any work and hence cannot increase kinetic energy of a system?
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The force on a north pole,$\overrightarrow{\text{F}}=\text{m}\overrightarrow{\text{B}},$ is parallel to the field $\overrightarrow{\text{B}}.$ Does it contradict our earlier knowledge that a magnetic field can exert forces only perpendicular to itself?
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A magnetic dipole of magnetic moment 1.44A-m2 is placed horizontally with the north pole pointing towards north. Find the position of the neutral point if the horizontal component of the earth's magnetic field is $18 \mu\text{T}.$
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A short magnet oscillates in an oscillation magnetometern with a time period of 0.10s where the earth's horizontal magnetic field is $24\mu\text{T}.$ A downward current of 18 A is established in a vertical wire placed 20cm east of the magnet. Find the new time period.
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Show that the magnetic field at a point due to a magnetic dipole is perpendicular to the magnetic axis if the line joining the point with the centre of the dipole makes an angle of $\tan^{-1}(\sqrt{2})$ with the magnetic axis.
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A moving-coil galvanometer has a 50-turn coil of size 2cm × 2cm. It is suspended between the magnetic poles producing a magnetic field of 0.5T. Find the torque on the coil due to the magnetic field when a current of 20mA passes through it. 
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The magnetometer of the previous problem is used with the same magnet in $\tan-\text{B}$ position. Where should the magnet be placed to produce a 37° deflection of the needle?
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