AIIMS2018Physics-Waves

AIIMS 2018 Physics Frequency Calculations MCQ Question

Type: MCQ-numerical-Medium-Class 11

The electron density of a layer of ionosphere at a height 150 km150\text{ km} from the earth's surface is 9×1010 per m39 \times 10^{10}\text{ per m}^3. For the sky transmission from this layer up to a range of 250 km250\text{ km}, the critical frequency of the layer is:

A

2 Hz

B

2.7 Hz

C

2.78 kHz

D

2.7 MHz

Correct Answer

Option D

Detailed Explanation

The calculation fc=9Nm=99×1010=2.7 MHzf_c = 9\sqrt{N_m} = 9\sqrt{9 \times 10^{10}} = 2.7 \text{ MHz} demonstrates that the frequency fcf_c is derived from the number of molecules NmN_m in a given system, specifically in the context of statistical mechanics or thermodynamics. Since the options provided are all marked as N/A, it indicates that there are no other relevant choices to consider, reinforcing that option D is the only valid answer. Other options are irrelevant in this context, as they do not pertain to the calculation or its implications. This example highlights the importance of understanding how molecular quantities relate to macroscopic properties, such as frequency in physical systems.

Found an issue with this question?