The amplitude of \(15 \sin (1000 \pi t)\) is modulated by \(10 \sin (4 \pi t)\) signal. The amplitude modulated signal c…

The amplitude of \(15 \sin (1000 \pi t)\) is modulated by \(10 \sin (4 \pi t)\) signal. The amplitude modulated signal contains frequency(ies) of
A. \(500 Hz\)
B. \(2 Hz\)
C. \(250 Hz\)
D. \(498 Hz\)
E. \(502 Hz\)

Choose the correct answer from the options given below:

[JEE Main 2023, 12 Apr (Shift 1)]