In a thin prism of glass (refractive index 1.5), which of the following relations between the angle of minimum deviations δm and angle of refraction r will be correct?

Question

In a thin prism of glass (refractive index 1.5), which of the following relations between the angle of minimum deviations δm and angle of refraction r will be correct? (A) δm=r (B) δm=1.5 r (C) δm=2 r (D) δm=(r/2)

Tardigrade Admin · Accepted Answer

δm=(μ-1) A, At δm prime i=e and r1=r2=r ⇒ A=r1+r2=2 r δm=(1.5-1)(2 r)=r

Q. In a thin prism of glass (refractive index 1.5 $)$ , which of the following relations between the angle of minimum deviations $δ_{m}$ and angle of refraction $r$ will be correct?

$δ_{m} = r$

$δ_{m} = 1.5 r$

$δ_{m} = 2 r$

$δ_{m} = \frac{r}{2}$

$δ_{m} = (μ - 1) A,$ At $δ_{m^{'}} i = e$ and $r_{1} = r_{2} = r$
$\Rightarrow A = r_{1} + r_{2} = 2 r$
$δ_{m} = (1.5 - 1) (2 r) = r$

Q. In a thin prism of glass (refractive index 1.5), which of the following relations between the angle of minimum deviations δm​ and angle of refraction r will be correct?

δm​=r

δm​=1.5r

δm​=2r

δm​=2r​