Consider a set of 10 signals xi (t), i = 1, 2, 3....10.

Consider a set of 10 signals xi (t), i = 1, 2, 3....10. Each signal is band limited to 1 kHz. All 10 signals are to be time-division multiplexed after each is multiplied by a carrier c(t) shown below:
If the period T of c(t) is chosen to have the maximum allowable value, the largest value of Δ would be—

The T should be chosen such that

2π	>2ω_m
T

Here ω_m = 2πf_m = 2π × 1000 = 2000π
(given that each signal is band limited to 1 kHz)
Therefore

2π	≥2×2000π
T

T ≥	1
	2000

or
T ≥ 0·5 ms
Since there are 10 different pulse within a duration of T.

Therefore, each pulse can be =	0.5 ×10⁻³	= 0.5 ×10⁻⁴ = 0.5 ×10⁻⁵ sec
	10