An inductor coil of inductance $L$ is divided into two parts and both parts are connected in parallel. The net inductance is

If the momentum of a body of mass ' $m$ ' is increased by $20 \%$ then its kinetic energy increases by

Seven capacitors each of capacitance $2 \mu \mathrm{~F}$ are connected in a configuration to obtain an effective capacitance $\frac{6}{13} \mu \mathrm{~F}$. The combination which will achieve this will have

An e.m.f. $E=E_0 \cos \omega t$ is applied to the $L-R$ circuit. The inductive reactance is equal to the resistance ' $R$ ' of the circuit. The power consumed in the circuit is