A MOD-2 and a MOD-5 up-counter when cascaded together results in a MOD _________ counter. (in integer).

The maximum clock frequency in MHz of a 4-stage ripple counter, utilizing flip-flops, with each flip-flop having a propagation delay of 20 ns, is ________. (round off to one decimal place).

The transfer function of a real system, H(s), is given as:

$$H(s) = {{As + B} \over {{s^2} + Cs + D}}$$,

where A, B, C and D are positive constants. This system cannot operate as

In the circuit shown below, a three-phase star-connected unbalanced load is connected to a balanced three-phase supply of 100$$\sqrt 3 $$ V with phase sequence ABC. The star connected load has Z_A = 10 $$\Omega$$ and Z_B = 20$$\angle$$60$$^\circ$$ $$\Omega$$. The value of Z_C in $$\Omega$$, for which the voltage difference across the nodes n and n' is zero, is