# An amplitude modulated wave is represented by the expression $v_m=5\left ( 1+0.6 \cos 6280t \right ) \sin \left ( 211 \times 10^4 \:t \right )\: volt$ The minimum and miximum amplitudes of the amplitude modulated waves are, respectively:   Option: 1 $\frac{3}{2}\:V,5\:V$ Option: 2 $2 \:V,8\:V$ Option: 3 $5\:V,8\:V$ Option: 4 $3\:V,5\:V$

$\begin{array}{l} \mathrm{V}_{\mathrm{m}}=5(1+0.6 \cos 6280 \mathrm{t}) \sin \left(211 \times 10^{4} \mathrm{t}\right) \\ \mathrm{V}_{\mathrm{m}}=[5+3 \cos 6820 \mathrm{t}] \sin \left(211 \times 10^{4} \mathrm{t}\right) \\ \mathrm{V}_{\max .}=5+3=8 \\ \mathrm{~V}_{\text {min. }}=5-3=2 \end{array}$

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