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 prism=(μ liquid/μ prism)=(1.32/1.56)=(11/13) ??(i) Now, the condition for the total internal reflection, occurs when sin θ ge μ So, sin θ ge (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 $μ_{p r i s m} = \frac{μ _{l i q u i d}}{μ _{p r i s m}} = \frac{1.32}{1.56} = \frac{11}{13}$ ??(i) Now, the condition for the total internal reflection, occurs 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​