Modern Physics Ques 230

  1. A diode detector is used to detect an amplitude modulated wave of $60 \%$ modulation by using a condenser of capacity $250 $ $pF$ in parallel with a load resistance $100 $ $k \Omega$. Find the maximum modulated frequency which could be detected by it.

(2013 Main)

(a) $10.62 $ $MHz$

(b) $10.62$ $ kHz$

(c) $5.31 $ $MHz$

(d) $5.31 $ $kHz$

Show Answer

Answer:

Correct Answer: 230.(b)

Solution:

Formula:

Frequency Modulation

The higher frequency which can be detected with tolerable distortion is

$ \begin{aligned} f & =\frac{1}{2 \pi m _a R C}=\frac{1}{2 \pi \times 0.6 \times 2.5 \times 10^{-5}} Hz \\ & =\frac{100 \times 10^{4}}{25 \times 1.2 \pi} Hz=\frac{4}{1.2 \pi} \times 10^{4} Hz=10.61 kHz \end{aligned} $



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