Light is incident normally on face AB of a prism as shown in Figure. A liquid of refractive index μ is placed on face AC of the prism. The prism is made of glass of refractive index $$3/2$$. The limit of μ for which total internal reflection takes place at face AC is

Question

Light is incident normally on face AB of a prism as shown in Figure. A liquid of refractive index μ is placed on face AC of the prism. The prism is made of glass of refractive index $$3/2$$. The limit of μ  for which total internal reflection takes place at face AC is

Infinity Learn · Accepted Answer

Critical angle between glass and liquid face is  $$sin$$θ$$c=$$μrμ$$0=$$μ$$3/2=2$$μ$$3Angle$$ of incidence at face AC is $$600$$ i.e., $$i=600$$ For total internal reflection to take place,  i>θc or  sini>$$sin$$θcOr    $$sin600$$>$$2$$μ$$3$$  Or   μ<$$334$$

Light is incident normally on face AB of a prism as shown in Figure. A liquid of refractive index $μ$ is placed on face AC of the prism. The prism is made of glass of refractive index 3/2. The limit of $μ$ for which total internal reflection takes place at face AC is

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Light is incident normally on face AB of a prism as shown in Figure. A liquid of refractive index μ is placed on face AC of the prism. The prism is made of glass of refractive index 3/2. The limit of μ for which total internal reflection takes place at face AC is

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Light is incident normally on face AB of a prism as shown in Figure. A liquid of refractive index $μ$ is placed on face AC of the prism. The prism is made of glass of refractive index 3/2. The limit of $μ$ for which total internal reflection takes place at face AC is