From the diagram, the correct equation for the refractive index n of the medium is

a
n = tan i
b
n = \(\frac{sin i}{sin 90^o}\)
c
n = \(\frac{sin i}{cos (90^o - i)}\)
d
n = sin 90oC
Explanation
Correct Option
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Discussions (5)

BroTolu
4 years ago
Option A is very correct
i+90+r = 180
r = 90-i
n = sin i/sin r
n = sin i/sin(90-i)
Since, sin(90-i) = cos i
n = sin i/cos I
n = tan I
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afolabiabdulsamad
9 years ago
Here is an explanation:
r=180-(90+i) r=90-i n=sin i/sin r n=sin i/sin(90-i) since sin(90-i)=cos I therefore n=sin i/cos I ans=tan i
REF: Check new school physics

Benchimaru
3 years ago
The correct answer should be A which is Tan i. This is because 180- (90+I)=r
90-i=r, sin(90-i)=sinr
Cosi=sinr
N = sini/sinr
N = sini/Cosi
N = tani

