Magnetism and Matter

The magnetic moment of an electron (e) revolving in an orbit around nucleus with an orbital angular momentum is given by:

A magnet hung at 45° with magnetic meridian makes an angle of 60° with the horizontal. The actual value of the angle of dip is-

The vertical component of the earth’s magnetic field is 6 × 10^-5 T at any place where the angle of dip is 37°. The earth’s resultant magnetic field at that place will be (Given tan37° = $\frac{3}{4}$ <!-- [if gte mso 9]><xml> </xml><![endif]-->)

The dimensions of $\left(\frac{B^2}{{\mu }_0}\right)willbe$ $\frac{{}^{}}{{}_{}}$

(if ${}_{}$ ${\mu }_0$ : permeability of free space and B : magnetic field)

The soft-iron is a suitable material for making an electromagnet. This is because soft iron has

A student in the laboratory measures thickness of a wire using screw gauge. The readings are 1.22mm, 1.23mm, 1.19mm and 1.20mm. The percentage error is $\frac{x}{121}\mathrm{\%}.$ The value of x is________.

A bar magnet having a magnetic moment of 2.0 × 10⁵ JT^-1, is placed along the direction of uniform magnetic field of magnitude B = 14 × 10^-5 T. The work done in rotating the magnet slowly through 60° from the direction of field is:

At a certain place the angle of dip is 30° and the horizontal component of earth’s magnetic field is 0.5 G. The earth’s total magnetic field (in G), at the certain place, is:

A small bar magnet placed with its axis at ${30}^{?}$ with an external field of $0.06\mathrm{T}$ experiences a torque of $0.018\mathrm{N}\mathrm{m}$ . The minimum work required to rotate it from its stable to unstable equilibrium position is:

For a transverse wave traveling along a straight line, the distance between two peaks (crests) is 5
 , while the distance between one crest and one trough is 1.5 m. The possible wavelengths (in $\mathrm{A}\to \mathrm{I}\mathrm{V};\mathrm{}\mathrm{B}\to \mathrm{I}$ ) of the waves are: