If light travels a distance x in time t1 in air and 10x distance in time t2 in a certain medium, then find the critical angle for total internal reflection, of the medium.

Question

If light travels a distance x in time t1 in air and 10x distance in time t2 in a certain medium, then find the critical angle for total internal reflection, of the medium. (A) sin- 1((20 t1/t2)) (B) sin- 1((10 t1/t2)) (C) sin- 1((t1/t2)) (D) sin- 1((t2/10 t1))

Tardigrade Admin · Accepted Answer

μ =((x/t1)/(10 x)t2)=(t2/10 t1) sin θc=(1/t2 / 10 t1)=(10 t1/t2) ⇒ θc= sin -1((10 t1/t2))

Q. If light travels a distance $x$ in time $t_{1}$ in air and $10 x$ distance in time $t_{2}$ in a certain medium, then find the critical angle for total internal reflection, of the medium.

$s i n^{- 1} (\frac{20 t _{1}}{t _{2}})$

$s i n^{- 1} (\frac{10 t _{1}}{t _{2}})$

$s i n^{- 1} (\frac{t _{1}}{t _{2}})$

$s i n^{- 1} (\frac{t _{2}}{10 t _{1}})$

$μ = \frac{\frac{x}{t _{1}}}{\frac{10 x}{t _{2}}} = \frac{t _{2}}{10 t _{1}}$
$sin θ_{c} = \frac{1}{t _{2} /10 t _{1}} = \frac{10 t _{1}}{t _{2}} \Rightarrow θ_{c} = sin^{- 1} (\frac{10 t _{1}}{t _{2}})$

Q. If light travels a distance x in time t1​ in air and 10x distance in time t2​ in a certain medium, then find the critical angle for total internal reflection, of the medium.

sin−1(t2​20t1​​)

sin−1(t2​10t1​​)

sin−1(t2​t1​​)

sin−1(10t1​t2​​)