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  1. The magnitude-frequency response of a control system is shown in the figure. The value of ω1 and ω2 are respectively—


    1. 10 and 200
    2. 20 and 200
    3. 20 and 400
    4. 100 and 400
Correct Option: C

From given figure

6
= 20
log ω1 – log10 10

or
log ω1 – 1 = 6/20
or
log ω1 = 0·3 + 1
or
log ω1 = 1·3
or
ω1 = 101·3
or
ω1 = 19·95 ≈ 20
and
6
= 20
log 10ω – logω1

or
26
= 20
log ω – log20

or log ω – 1·3 = 26/20 = 1·3
or
log ω = 2·6
or
ω = 102·6 = 400
Hence alternative (C) is the correct choice.



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