Q$4$: $[$CO$5][6$ Marks$]$ Suppose if there are two stations $$5$ t and $$2$ attached to opposite ends

of $2km$ long cable having a propagation speed of $100\frac{m}{s},$ bandwidth $40bps.$ Both nodes

having only $1$ frame to send consist of $2000$ bits including header. Now, $M$ attempt to

transmit at time $T=0$ and $N$ at $T=2$ secs$.$ If first collision occurs consider $M$ withdraws $K=0$

and $N$ draws $K=1$ in the exponential back off algorithm. After first collision, $M$ withdraws

$K=0$ and $N$ withdraws $K=3$ for any succeeding collision.

a$)$ What is the minimum size of frame for the ethernet to detect collision? What is the

efficiency of CSMA$/$CD$.$

b$)$ At what time $($in seconds$)$ Node $M$ and $N$ both detect collision?

c$)$ How many bits station $N$ has sent before detecting the collision?

d$)$ At what time $($in seconds$)$ last bit of jamming signals is received at $M$ and $N?$

e$)$ At what time $($in seconds$)M$ and $N$ schedules its retransmission?

f$)$ Is there is any second collision? If yes, what is time $($in seconds$)$ when both nodes

detect collision again?