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JEE Main 202226 JulyMorning Shift
Exam
JEE Main
Year
2022
Date
26 July
Shift
Morning Shift
Subject
Physics
Chapter
Communication System

JEE Main 2022 · 26 July · Morning Shift · Physics · Communication System

A radio can tune to any station in 6MHz to 10MHz band. The value of...

A radio can tune to any station in 6MHz6MHz to 10MHz10MHz band. The value of corresponding wavelength bandwidth will be

Options

  1. A4m4m
  2. B20m20m
  3. C30m30m
  4. D50m50m

Correct answer

B. 20m20m

Step-by-step solution

Given: Frequency f1=6MHz{f}_{1} = 6MHz

Frequency f2=10MHz{f}_{2} = 10MHz

Wavelength can be calculated using λ=cf\lambda = \dfrac{c}{f}.

⇒λ1=cf1=3×1086×106=50m⇒ {\lambda}_{1} = \dfrac{c}{{f}_{1}} = \dfrac{3 \times {10}^{8}}{6 \times {10}^{6}} = 50m

⇒λ2=cf2=3×10810×106=30m⇒ {\lambda}_{2} = \dfrac{c}{{f}_{2}} = \dfrac{3 \times {10}^{8}}{10 \times {10}^{6}} = 30m

Wavelength bandwidth is the difference of upper lower wavelengths =λ1−λ2=20m= {\lambda}_{1} - {\lambda}_{2} = 20m

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