The refractive index of the material of the prism and liquid are 1.56 and 1.32 respectively. What will be the value of θ for the following refraction?

Question

The refractive index of the material of the prism and liquid are 1.56 and 1.32 respectively. What will be the value of θ for the following refraction? (A)  sin θ ge (13/11)  (B)  sin θ ge (11/13)  (C)  sin θ ge (√3/2)  (D)  sin θ ge (1/√2)

Tardigrade Admin · Accepted Answer

Using the formula μ text prism =(μ text liquid /μ text prism )=(1.32/1.56)=(11/13) ...(1) Now the condition for total internal reflection, occur when sin θ ≥ μ So, sin θ ≥ (11/13)

Q. The refractive index of the material of the prism and liquid are $1.56$ and $1.32$ respectively. What will be the value of $θ$ for the following refraction?

$sin θ \geq \frac{13}{11}$

$sin θ \geq \frac{11}{13}$

$sin θ \geq \frac{3}{2}$

$sin θ \geq \frac{1}{2}$

Using the formula
$μ_{prism} = \frac{μ _{liquid}}{μ _{prism}} = \frac{1.32}{1.56} = \frac{11}{13} ... (1)$
Now the condition for total internal reflection, occur when $sin θ \geq μ$
So, $sin θ \geq \frac{11}{13}$

Q. The refractive index of the material of the prism and liquid are 1.56 and 1.32 respectively. What will be the value of θ for the following refraction?

sinθ≥1113​

sinθ≥1311​

sinθ≥23​​

sinθ≥2​1​