Verified Solution • 2025–26 Session moderate

QJEEM22Ph7f57: JEE Main 2022 Physics - Class 12 JEEM22Ph7f57 Solution: A baseband signal of 3.5 MHz frequency is modulated with a…

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?

Multiple Choice Options

  • A 42.8 m
  • B 42.8 mm
  • C 21.4 mm
  • D 21.4 m

Step-by-Step Verified Solution

vc=3.5×109{v _c} = 3.5 \times {10^9} Hz

∴\therefore λ=cvc=3×1083.5×109\lambda = {c \over {{v _c}}} = {{3 \times {{10}^8}} \over {3.5 \times {{10}^9}}}

∴\therefore Size of antenna =λ4= {\lambda \over 4}

=8.57×10−24= {{8.57 \times {{10}^{ - 2}}} \over 4}

=21.4= 21.4 mm

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