Verified Solution • 2025–26 Session moderate

QJEEM22Ph4dec: JEE Main 2022 Physics - Class 12 JEEM22Ph4dec Solution: A radio can tune to any station in to band. The value of…

A radio can tune to any station in 6 MHz6 \,\mathrm{MHz} to 10 MHz10 \,\mathrm{MHz} band. The value of corresponding wavelength bandwidth will be :

Multiple Choice Options

  • A 4 m
  • B 20 m
  • C 30 m
  • D 50 m

Step-by-Step Verified Solution

v1=6×106{v_1} = 6 \times {10^6} Hz

⇒λ1=3×1086×106=50\Rightarrow {\lambda _1} = {{3 \times {{10}^8}} \over {6 \times {{10}^6}}} = 50 m

v2=10×106{v_2} = 10 \times {10^6} Hz

⇒λ2=3×10810×106=30\Rightarrow {\lambda _2} = {{3 \times {{10}^8}} \over {10 \times {{10}^6}}} = 30 m

⇒\Rightarrow Wavelength band with

=∣λ1−λ2∣=20= |{\lambda _1} - {\lambda _2}| = 20 m

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