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A ray of light traveling from glass into ethyl alcohol is incident at the boundary at...

Physics
WAEC 2020

A ray of light traveling from glass into ethyl alcohol is incident at the boundary at an angle of incidence 30\(^o\). Calculate the angle of refraction.

[Refractive index of glass =1.5; refractive index of ethyl alcohol = 1.36]
 

  • A. 27\(^o\)
  • B. 33.5\(^o\)
  • C. 51.7\(^o\)
  • D. 72.8\(^o\)
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Correct Answer: Option B
Explanation

The angle of incidence l = 30º
The angle of refraction , r =?
The refractive index of glass ng = 1.5
The refractive index of ethyl alcohol, ne = 1.36
from snell's law :

\(\frac{n_e}{n_g} = \frac{sini}{sinr}\)

\(\frac{1.36}{1.5} = \frac{sin30º}{sinr}\)

1.36sinr = 1.5 x sin30º

sinr =  \(\frac{1.5 \times sin30º}{1.36}\)

sinr = 0.5515

r = \(sin^{-1}\)(0.5515)

r = 33.5º


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Post-UTME Past Questions - Original materials are available here - Download PDF for your school of choice + 1 year SMS alerts
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WAEC offline past questions - with all answers and explanations in one app - Download for free
Post-UTME Past Questions - Original materials are available here - Download PDF for your school of choice + 1 year SMS alerts
WAEC May/June 2024 - Practice for Objective & Theory - From 1988 till date, download app now - 99995
WAEC Past Questions, Objective & Theory, Study 100% offline, Download app now - 24709