For a Phase Locked Loop system, the open loop transfer function is G(s)=$$\frac{1000}{s (\frac{s}{1192}+1)}$$
The phase margin is $$50^\circ$$ and the crossover frequency is approximately 1000 rad/s. A time delay is introduced in the phase detector reducing the phase margin to $$40^\circ$$ . The maximum permissible time delay ( in seconds)is :

A

$$10^{-4}$$

B

0.174

C

$$ 1.192 \times 10^{-3}$$

D

$$ 0.174 \times 10^{-3}$$