Quantrex Quantrex AcademyJEE · NEET · NDA PYQs with solutions Open app
99 Percentile Qs Bank for JEE MainPhysicsMagnetic Properties of Matter

A bar magnet of magnetic moment M is placed at a distance D with its axis along positive X -axis. Likewise, second bar magnet of magnetic moment M is placed at a distance 2 D on positive Y -axis and perpendicular to it as shown in the figure. The magnitude of magnetic field at the origin is B → = α μ 0 4 π M D 3 . The value of α must be (Assume D > > where l is the length of magnets)

Options

  1. A2
  2. B15 8
  3. C17 8
  4. D9 8

Correct answer

B. 15 8

Step-by-step solution

B axis = 2 μ 0 M 4 π D 3   &   B equator = μ 0 M 8 π D 3 since d = 2 D B net = B axis - B equator = μ 0 M 4 π D 3 2 - 1 8 ∴     B net = 15 8 μ 0 M 4 π D 3 ⇒ α = 15 8

Practice Magnetic Properties of Matter on Quantrex Academy →

More from Magnetic Properties of Matter

A solenoid has a core made of material with relative permeability 400 . The magnetic field produced in the interior of solenoid is 1.0 T. The magnetic intensity in SI units is 10^5 2026Two identical small bar magnets each of dipole moment 3 5 J/T are placed at a center to center separation of 10 cm, with their axes perpendicular to each other as shown in figure. 2026Given below are two statements: one is labelled as Assertion (A) and the other is labelled as Reason (R). Consider a ferromagnetic material : Assertion (A) : The individual atoms i 2026Given below are two statements : one is labelled as Assertion (A) and the other is labelled as Reason(R). Assertion (A) : Magnetic monopoles do not exist. Reason (R) : Magnetic fie 2025The percentage increase in magnetic field (B) when space within a current carrying solenoid is filled with magnesium (magnetic susceptibility . _ mg =1.2 10⁻⁵ ) is : 2025A solenoid having area A and length ' l ' is filled with a material having relative permeability 2. The magnetic energy stored in the solenoid is : 2025The relationship between the magnetic susceptibility ( ) and the magnetic permeability ( ) is given by : ( ₀ is the permeability of free space and _ r is relative permeability) 2025A bar magnet has total length 2 l=20 units and the field point P is at a distance d =10 units from the centre of the magnet. If the relative uncertainty of length measurement is 1 2025 Full Magnetic Properties of Matter list All 99 Percentile Qs Bank for JEE Main PYQs