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JIPMER 2005
Exam
JIPMER
Year
2005
Subject
Physics
Chapter
Ray Optics

JIPMER 2005 · Physics · Ray Optics

The refractive index of the material of the prism and liquid are...

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

Options

  1. Asin⁡θ≥1311\sin \theta \geq \frac{13}{11}
  2. Bsin⁡θ≥1113\sin \theta \geq \frac{11}{13}
  3. Csin⁡θ≥32\sin \theta \geq \frac{\sqrt{3}}{2}
  4. Dsin⁡θ≥12\sin \theta \geq \frac{1}{\sqrt{2}}

Correct answer

B. sin⁡θ≥1113\sin \theta \geq \frac{11}{13}

Step-by-step solution

Using the formula sin⁡(θ)=μliquid μprism =1.321.56=1113\sin (\theta)=\frac{\mu_{\text{liquid }}}{\mu_{\text{prism }}}=\frac{1.32}{1.56}=\frac{11}{13} ...(1) Now the condition for total internal reflection, occur when sin⁡θ≥μ\sin \theta \geq \mu So, sin⁡θ≥1113\sin \theta \geq \frac{11}{13}
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