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Q.
A thin hollow prism of refracting angle $3^°$, filled with water gives a deviation of $1^°$. The refractive index of water is
MHT CETMHT CET 2019Ray Optics and Optical Instruments
Solution:
Angle of deviation of the light ray produced by prism is,
$\delta=A(\mu-1)$...(i)
where, $\delta=$ angle of deviation
$A =$ angle of prims and
$\mu =$ refractive index of the prism
Given, $A =3^{\circ}, \delta=1^{\circ}$ and $\mu=$ ?
Substituting the given values in Eq. (i), we get
$1^{\circ} =3^{\circ}(\mu-1) \Rightarrow \mu=\frac{4}{3}=1.33$
Hence, the refractive index of the prism is 1.33.