For an AM-system the total power of modulated signal is $600 W$ and that of carrier is $400 W$ , the modulation index is

0.25

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0.36

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0.54

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1

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Solution

The correct option is C $1$
$P_{T} = P_{C} (1 + \frac{{m_{a}}^{2}}{2})$
$∴ 600 = 400 (1 + \frac{{m_{a}}^{2}}{2}) ⟹ \frac{3}{2} = 1 + \frac{{m_{a}}^{2}}{2}$
or $\frac{{m_{a}}^{2}}{2} = \frac{1}{2} ⟹ m_{a} = 1$

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