A diode detector is used to detect an amplitude modulated wave of 60% modulation by using a condenser of capacity 250 pico farad in parallel with a load resistance 100 kilo ohm. Find the maximum modulated frequency which could be detected by it

we know that the frequency is given as

f = 1 / (2πμτ)

and τ = RC

so,

f = 1 / (2πμRC)

here,

μ = 0.6

R = 100 Kilo ohms = 100 x 1000 ohms

C = 250 pico farad = 250 x 10^-12 F

so,

f = 1 / (2π x 0.6 x 100 x 1000 x 250 x 10^-12)

so, we get

f = 1/ 9.42 x 10^-5

 = 0.1061 x 10^-5

thus,

f = 10.61 kHz