anyone tell me about prism formula
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n=sin(A+€/2)/sinA/2
where € is angle of deviation.
where € is angle of deviation.
Akhlak९३०:
give me the derivatiin plz
it's very long.
any reference
go on Google and search this article
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ANSWER:
The passage of light incident from air into a glass prism is deviated due to refraction occurring twice, once at the boundary separating air-class and next at the boundary separating glass-air as shown in figure.
Figure 17:
A: Refracting angle of prism.
i: Angle of incidence.
e: Angle of emergence.
r1, r2: Refracting angles.
delta: Angle of deviation.
mu: Refractive index of glass wrt air.
The geometry of prism imposes relations between i.e., A, S and r1, r2, A as follows :
Now, reversing the path of the ray of the light, i.e TSQP instead of PQST as the path, it is seen that the angle of deviation is same. Thus, in general there are two angles of incidence i & e, for which d is same; however when d is the minimum angle of deviation, dm then i = e as illustrated in graph of d Vsi.
Figure 18:
The passage of light incident from air into a glass prism is deviated due to refraction occurring twice, once at the boundary separating air-class and next at the boundary separating glass-air as shown in figure.
Figure 17:
A: Refracting angle of prism.
i: Angle of incidence.
e: Angle of emergence.
r1, r2: Refracting angles.
delta: Angle of deviation.
mu: Refractive index of glass wrt air.
The geometry of prism imposes relations between i.e., A, S and r1, r2, A as follows :
Now, reversing the path of the ray of the light, i.e TSQP instead of PQST as the path, it is seen that the angle of deviation is same. Thus, in general there are two angles of incidence i & e, for which d is same; however when d is the minimum angle of deviation, dm then i = e as illustrated in graph of d Vsi.
Figure 18:
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