Write the differences between electrostatics and magnetics.

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ElectrostaticsMagnetics
$(1)$ Constant: $\frac{1}{4\pi\epsilon_{0}}$ $(\epsilon_{0} = \text{permittivity of vacuum})$$(1)$ Constant: $\frac{\mu_{0}}{4\pi}$ $(\mu_{0} = \text{permeability of vacuum})$
$(2)$ Source: Electric charge $q$$(2)$ Source: Magnetic pole strength $q_{m}$
$(3)$ Dipole moment: $\vec{p} = (2\vec{a})q$$(3)$ Dipole moment: $\vec{m} = (2\vec{l})q_{m}$
$(4)$ Force: $F = \frac{1}{4\pi\epsilon_{0}} \frac{q_{1}q_{2}}{r^{2}}$$(4)$ Force: $F = \frac{\mu_{0}}{4\pi} \frac{q_{m1}q_{m2}}{r^{2}}$
$(5)$ Axial field: $\vec{E} = \frac{2\vec{p}}{4\pi\epsilon_{0}r^{3}}$ $(r \gg l)$$(5)$ Axial field: $\vec{B} = \frac{\mu_{0}}{4\pi} \frac{2\vec{m}}{r^{3}}$ $(r \gg l)$
$(6)$ Equatorial field: $\vec{E} = -\frac{\vec{p}}{4\pi\epsilon_{0}r^{3}}$ $(r \gg l)$$(6)$ Equatorial field: $\vec{B} = -\frac{\mu_{0}}{4\pi} \frac{\vec{m}}{r^{3}}$ $(r \gg l)$
$(7)$ Torque: $\vec{\tau} = \vec{p} \times \vec{E}$$(7)$ Torque: $\vec{\tau} = \vec{m} \times \vec{B}$
$(8)$ Potential energy: $U = -\vec{p} \cdot \vec{E}$$(8)$ Potential energy: $U = -\vec{m} \cdot \vec{B}$
$(9)$ Work done: $W = pE(\cos\theta_{1} - \cos\theta_{2})$$(9)$ Work done: $W = mB(\cos\theta_{1} - \cos\theta_{2})$

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Match the items in List-$I$ with the items in List-$II$:
| List-$I$ | List-$II$ |
| :--- | :--- |
| $(A)$ High retentivity | $(i)$ Telephone diaphragm |
| $(B)$ High resistivity | (ii) Diamagnet |
| $(C)$ Low coercivity | (iii) To decrease eddy current losses |
| $(D)$ Negative susceptibility | (iv) Permanent magnet |

Two identical bar magnets with a length of $10 \, cm$ and a weight of $50 \, g$ are placed freely with their like poles facing each other in an inverted vertical glass tube. The upper magnet hangs in the air above the lower one such that the distance between the nearest poles of the magnets is $3 \, mm$. The pole strength of each magnet is approximately ....... $A \cdot m$.

Match List-$I$ with List-$II$.
List-$I$List-$II$
$(a)$ Magnetic Induction$(i)$ ${ML}^{2} {T}^{-2} {A}^{-1}$
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$(c)$ Magnetic Permeability$(iii)$ ${MT}^{-2} {A}^{-1}$
$(d)$ Magnetization$(iv)$ ${MLT}^{-2} {A}^{-2}$

Choose the most appropriate answer from the options given below:

Match List-$I$ with List-$II$.
List-$I$List-$II$
$(A)$ Magnetic induction$(I)$ Ampere meter$^2$
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Choose the correct answer from the options given below:

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