AI Mentor

Check Your IQ

Free Expert Demo

Try Test

Courses

Dropper NEET Course Dropper JEE Course Class - 12 NEET Course Class - 12 JEE Course Class - 11 NEET Course Class - 11 JEE Course Class - 10 Foundation NEET Course Class - 10 Foundation JEE Course Class - 10 CBSE Course Class - 9 Foundation NEET Course Class - 9 Foundation JEE Course Class -9 CBSE Course Class - 8 CBSE Course Class - 7 CBSE Course Class - 6 CBSE Course

Offline Centres

The refractive index of air near the surface of Earth is $μ_{0}$ and it decreases with height $h$ from the surface according to $\frac{d μ}{d h} = - k$ where $k$ is a positive constant. Consider a ray of light which is propagating in a horizontal direction close to the surface of Earth. Which of the following are correct?

see full answer

Your Exam Success, Personally Taken Care Of

1:1 expert mentors customize learning to your strength and weaknesses – so you score higher in school , IIT JEE and NEET entrance exams.

An Intiative by Sri Chaitanya

The radius of curvature of the given light ray is $\frac{μ_{0}}{k}$ near the surface

For a particular value of $k$ the given light ray can travel round the earth in circular path

The radius of curvature of the given light ray is $\frac{μ_{0}}{k^{2}}$ near the surface

The light ray deviates towards the surface of Earth

answer is A, B, D.

(Unlock A.I Detailed Solution for FREE)

Best Courses for You

JEE

NEET

Foundation JEE

Foundation NEET

CBSE

Detailed Solution

For small angle of derivation $θ$

$d h = - R (1 - \cos θ) μ_{0} = (μ + d μ) \cos θ ∴ d μ = \frac{μ_{0}}{\cos θ} - μ_{0} = \frac{μ_{0} R (1 - \cos θ)}{\cos θ} = - \frac{μ_{0} d h}{R \cos θ} R = \frac{μ_{0}}{k}$

Watch 3-min video & get full concept clarity

courses

No courses found

Result Producing online coaching for JEE/NEET of south India

Largest All India Test Series for JEE/NEET

Best Online Course for IIT JEE

Best Online Course for NEET

Best Online Course for CBSE

Ready to Test Your Skills?

Check your Performance Today with our Free Mock Test used by Toppers!

Take Free Test

Get Expert Academic Guidance – Connect with a Counselor Today!