A ray of light propagating in an isotropic medium with refractive index \( n \) varying graduall...

Channel:
PW Solutions
Subscribers:
453,000
Published on ● Video Link: https://www.youtube.com/watch?v=7YxAbKqKQNE


Duration: 3:12
2 views
0

A ray of light propagating in an isotropic medium with refractive index \( n \) varying gradually from point to point has a curvature radius \( \rho \) determined by the formula
\[
\frac{1}{\rho}=\frac{\partial}{\partial N}(\ln n),
\]
where the derivative is taken with respect to the principal normal to the ray. Derive this formula, assuming that in such a medium the law of refraction \( n \sin \theta= \) const holds. Here \( \theta \) is the angle between the ray and the direction of the vector \( \nabla n \) at a given point.
📲PW App Link - https://bit.ly/YTAI_PWAP
🌐PW Website - https://www.pw.live



Other Videos By PW Solutions


2022-11-27Choose the correct statement. I. Nicotine sulphate is one of the most toxic insecticides. II. Th...
2022-11-27समांतर श्रेणी \( -6,-\frac{11}{2},-5, \ldots \) के कितने पदों का योगफल \( -25 \) है?
2022-11-27Centromere is required for: (A) Movement of chromosomes towards poles (B) Transcription (C) Cyto...
2022-11-27The Milky Way galaxy is a part of a group of galaxies called the Local Group. The proper distanc...
2022-11-27Name the stage of meiosis where crossing over occurs between non-sister chromatids of homologous...
2022-11-27कीजिए- \[ \left(1+\frac{1}{x^{2}}\right)^{4} \]
2022-11-27Select the set of products that are obtained by fermentation of bacteria. (A) Dosa, acetic acid ...
2022-11-27The growth of multicellular organisms is due to (A) Meiosis I (B) Mitosis (C) Meiosis II (D) Bot...
2022-11-27यदि \( \vec{a}=\hat{\imath}+\hat{\jmath}+\hat{k}, \vec{b}=2 \hat{\imath}-\hat{\jmath}+3 \hat{k} ...
2022-11-27Assertion (A): Assertion: Meiosis II is similar to mitosis. Reason (R): Reason: Meiosis I cannot...
2022-11-27A ray of light propagating in an isotropic medium with refractive index \( n \) varying graduall...
2022-11-27Find the positions of the principal planes, the focal length and the sign of the optical power o...
2022-11-27An electric dipole is put in north-south direction in a sphere filled with water. Which statemen...
2022-11-27सदिशों \( \vec{a}=2 \hat{\imath}+3 \hat{j}-\hat{k} \) और \( \vec{b}=\hat{i}-2 \hat{j}+\hat{k} \)...
2022-11-27Pick out the correct statements: A. Synapsis of homologous chromosomes take place during prophas...
2022-11-27A potential difference \( V \) is connected across a device with resistance \( R \), causing cur...
2022-11-27Three infinitely long charged sheets are placed as shown in figure. The electric field at point ...
2022-11-27द्वितीय कोटि के अवकलज ज्ञात कीजिए: \( x^{20} \)
2022-11-27End of prophase is marked by (A) Initiation of condensation of chromosomal material (B) Disappea...
2022-11-27यदि \( n \) एक धन पूर्णांक है, तो सिद्ध कीजिए कि \( (1+x)^{2 n} \) के प्रसार में मध्य पद का गुणा...
2022-11-27द्वितीय कोटि के अवकलज ज्ञात कीजिए: \( x \cdot \cos x \)