Question

On a particular day, the maximum frequency reflected from the ionosphere is $8 \mathrm{MHz}$. On another day it was found to increase to $9 \mathrm{MHz}$. The ratio of the maximum electron densities of ionosphere on the two days is (A) $\sqrt{(8 / 9)}$ (B) $(8 / 9)$ (C) $(8 / 9)^{(3 / 2)}$ (D) $(8 / 9)^{2}$

Name: Problem 2711, Chapter 20: JEE Physics
Uploaded: 2021-10-27T16:30:05-08:00
Duration: 1 min 8 s
Channel: Gopal Sharma
Description: On a particular day, the maximum frequency reflected from the ionosphere is 8 MHz. On another day it was found to increase to 9 MHz. The ratio of the maximum electron densities of ionosphere on the two days is (A) √((8 / 9)) (B) (8 / 9) (C) (8 / 9)^(3 / 2) (D) (8 / 9)^2

   On a particular day, the maximum frequency reflected from the ionosphere is $8 \mathrm{MHz}$. On another day it was found to increase to $9 \mathrm{MHz}$. The ratio of the maximum electron densities of ionosphere on the two days is
(A) $\sqrt{(8 / 9)}$
(B) $(8 / 9)$
(C) $(8 / 9)^{(3 / 2)}$
(D) $(8 / 9)^{2}$

JEE Physics

StemEZ 1st Edition

Chapter 20, Problem 2711

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Solved by Expert Gopal Sharma

10/27/2021

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We are asked to find the ratio of the maximum electron densities of the ionosphere on the two days. Show more…

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On a particular day, the maximum frequency reflected from the ionosphere is $8 \mathrm{MHz}$. On another day it was found to increase to $9 \mathrm{MHz}$. The ratio of the maximum electron densities of ionosphere on the two days is (A) $\sqrt{(8 / 9)}$ (B) $(8 / 9)$ (C) $(8 / 9)^{(3 / 2)}$ (D) $(8 / 9)^{2}$

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Key Concepts

Electron Density Relationship

The electron density in a plasma is tied to the plasma frequency by a square law, meaning that the electron density is proportional to the square of the plasma frequency. This relationship is crucial in determining how changes in the maximum reflected frequency from the ionosphere indicate a change in maximum electron density, allowing one to quantitatively compare densities based on frequency ratios.

Plasma Frequency

The plasma frequency is the natural oscillation frequency of electrons in a plasma. It is a fundamental concept in plasma physics and radio wave propagation, where the frequency at which radio waves are reflected or transmitted is directly related to the electron density of the medium. The relation f ? ?n underlies the behavior of radio waves interacting with the ionosphere.

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