Match the following columns.
| Column I | Column II | ||
|---|---|---|---|
| (A) | Dielectric ring uniformly charged. | (P) | Time independent electrostatic field out of system. |
| (B) | Dielectric ring uniformly charged rotating with angular velocity $$\omega$$. | (Q) | Magnetic field. |
| (C) | Constant current in ring $$io$$ | (R) | Induced electric field. |
| (D) | $$i=i_0\cos\omega t$$ | (S) | Magnetic moment. |
A solid sphere of radius $R$ has moment of inertia $I$ about its geometrical axis. If it is melted into a disc of radius $r$ and thickness $t$. If its moment of inertia about the tangential axis (which is perpendicular to plane of the disc), is also equal to $I$, then the value of $r$ is equal to
In the following circuits, it is given that $\mathrm{R}_1=1 \Omega, \mathrm{R}_2=2 \Omega, \mathrm{C}_1=2 \mu \mathrm{~F}$ and $\mathrm{C}_2=4 \mu \mathrm{~F}$.
The time constants (in $\mu \mathrm{s}$ ) for the circuits I, II, III are, rcspectively.Two blocks A and B of masses $2 m$ and $m$, respectively, are connected by a massless and inextensible string. The whole system is suspended by a massless spring as shown in the figure. The magnitudes of acceleration of A and B, immediately after the string is cut, are respectively,
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