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
$\frac{3}{2}$ The limits of $μ$ for which total internal reflection takes place on face AC is

Question

Toppr Admin · Accepted Answer

Answer is C-Please refer the below diagram-Using Snell-apos-s Law-3-2n-1sin60-Therefore- n-sin60-xD7-32-x221A-32-xD7-32-3-x221A-34-Hence- the limit of n is lesser than-xA0- 3-x221A-34

Light is incident normally on face AB of a prism as shown in the figure A liquid of refractive index n is placed on face AC of the prism The prism is made of glass of refractive index 3/2 The limits of n for which total internal reflection takes place on face AC isn>3√32n>√3n<3√34n<3√38

Answer is C.Please refer the below diagram.Using Snell's Law:3/2n=1sin60.Therefore, n=sin60×32=√32×32=3√34.Hence, the limit of n is lesser than 3√34

Answer is C.

Please refer the below diagram.
Using Snell's Law:
$\frac{3 / 2}{n} = \frac{1}{sin 60}$ .
Therefore, $n = s i n 60 \times \frac{3}{2} = \frac{\sqrt{3}}{2} \times \frac{3}{2} = \frac{3 \sqrt{3}}{4}$ .Hence, the limit of n is lesser than $\frac{3 \sqrt{3}}{4}$