Define magnetization. State its SI unit and dimensions.
Magnetization is a vector quantity that represents the magnetic moment per unit volume of a material. Denoted by \( \mathbf{M} \), it indicates both the strength and direction of the magnetic field within the material.
The SI unit of magnetization is \( {A/m} \) (Ampere per meter), and its dimensional formula is: \[ [M] = [I L^{-1}] \] where \( I \) is the current and \( L \) is the length. \bigskip
Two magnets of equal magnetic moment (\( m_1 = m_2 \)) are placed as shown in the figure. If the magnetic field intensity at P due to magnet A1 is \( 2 \times 10^{-3} \, \text{Tesla} \), then find out the total magnetic field intensity at P due to both the magnets.
Derive an expression for maximum speed of a vehicle moving along a horizontal circular track.
If the mean and variance of a binomial distribution are \( 18 \) and \( 12 \) respectively, then the value of \( n \) is __________.