Quantrex Quantrex AcademyJEE · NEET · NDA PYQs with solutions Open app
JEE Main
Exam
JEE Main
Subject
Physics
Chapter
Electromagnetic Waves

JEE Main · Physics · Electromagnetic Waves

An electromagnetic wave of frequency 2 MHz propagates from vacuum...

An electromagnetic wave of frequency 2MHz2 \mathrm{MHz} propagates from vacuum to a non-magnetic medium of relative permittivity 9 . Then its' wavelength

Options

  1. Aincreases by 100 m
  2. Bincreases by 50 m
  3. Cdecreases by 50 mm
  4. Ddecreases by 100 m

Correct answer

D. decreases by 100 m

Step-by-step solution

In vacuum wavelength, \lambda_0=cf0=3×1082×106=\frac{c}{f_0}=\frac{3 \times 10^8}{2 \times 10^6}=1.5 ×\times10^2=150  m\mathrm{~m}In medium, speed of wave is v=cεrμr≈cεr(\frac{\mathcal{c}}{\sqrt{\varepsilon_r \mu_r}} \approx \frac{\mathcal{c}}{\sqrt{\varepsilon_r}} (as medium is non-magnetic) \therefore \quad v=c9=c3=\frac{\mathcal{c}}{\sqrt{9}}=\frac{\mathcal{c}}{3}=1 ×\times10^8  ms−1\mathrm{~ms}^{-1}Frequency remaining same, wavelength in medium is λ=vf0=1082×106=50 m∴\lambda=\frac{v}{f_0}=\frac{10^8}{2 \times 10^6}=50 \mathrm{~m}\therefore Wavelength decreases by 100 m100 \mathrm{~m}.
Practice Electromagnetic Waves on Quantrex Academy →

More from Electromagnetic Waves

The electric field associated with an electromagnetic wave travelling in vacuum is given… JEE Advanced 2026A monochromatic source of light operating at 15 kW emits 2.5× 10^ 22 photons/s. The… JEE Main 2026For an electromagnetic wave propagating through vacuum, k , E and ω represent propagation… JEE Main 2026A point light source emits E.M. waves in free space. A detector, placed at a distance of… JEE Main 2026A displacement current of 4.0 A can be set up in the space between two parallel plates of… JEE Main 2026A magnetic field vector in an electromagnetic wave is represented by B =B_0 (2π vt-(2π… JEE Main 2026An electromagnetic wave travels in free space along the x -direction. At a particular… JEE Main 2026An electromagnetic wave travelling in x -direction is described by field equation E_y =… JEE Main 2026 Full Electromagnetic Waves list All 99 Percentile Qs Bank for JEE Main PYQs