JEE Main202224 Jun 2022Morning ShiftPhysicsCommunication SystemActual
A baseband signal of 3 . 5 MHz frequency is modulated with a carrier signal of 3 . 5 GHz frequency using amplitude modulation method. What should be the minimum size of antenna required to transmit the modulated signal ?
Options
- A42 . 8   m
- B42 . 8   mm
- C21 . 4   mm
- D21 . 4   m
Correct answer
C. 21 . 4   mm
Step-by-step solution
The wavelength of the carrier wave is, λ c = c ν c = 3 × 10 8 3 . 5 × 10 9 = 3 35   m . The minimum size of the antenna required is 1 4 t h of the wavelength of the carrier. Therefore, l = 1 4 × 3 35 = 21 . 4   mm