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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

$\begin{array}{1 1} (1)\;10.62\;MHz \\ (2)\;10.62\;kHz \\ (3)\;5.31\;MHz\\ (4)\;5.31\;kHz \end {array}$

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