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A diode detector is used to detect an am...

A diode detector is used to detect an amplitudennodulated wave of `60%` modulation by using a condence of capacity `250` picodarad in parallel with a load resistance `100` kilo obm find the maximum modulated which could be find the maximum modalated frequency which could be detected by it

A

`10.62 MHz`

B

`10.62 kHz`

C

`5.31 MHz`

D

`5.31 kHz`

Text Solution

Verified by Experts

The correct Answer is:
B
Given Resistence `R = 100 kilo atom = 100 xx 10^(3) Omega`
Capuclancitance `C = 250 picofarer = 250 xx 10^(-12) sec`
`= 2.5 xx 10^(7) xx 10^(-12) sec`
`= 2.5 xx 10^(-5) sec`
The higher frequency which can be detected with tolerable distortion is
` f = (1)/(2 pi m_(0) RC) = (1)/(2 pi xx 0.6 xx 2.5 xx 10^(-5)) Hz`
`= (100 xx 10^(4))/(25 xx 1.2 pi ) Hz = 10.61 Hz`
This condition is obtained by appling the condition that rate of decay modulated vollage for proper detection of mdoulated single
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