Material `A` has critical angle `i_(A)`, and material `B` has critical angle `i_(B)(i_(B)gti_(A))`. Then which of the following is true
(i) Light can be totally internally reflected when it passes from `B` to `A`
(ii) Light can be totally internally relected when it passes from `A` to `B`
(iii) Critical angle for total internal reflection is `i_(B)-i_(A)`
(iv) Critical angle between `A` and `B` is `sin^(-1)((sini_(A))/(sin i_(B)))`

Options

A. (i) and (iii)
B. (i) and (iv)
C. (ii) and (iii)
D. (ii) and (iv)

Answer

D

Explanation

`i_(c ) = sin^(-1) ((1)/(n))`
`(i_(c ))_(B) gt (i_(c ))_(A) rArr n_(B) lt n_(A)`
Critical angle between A to B
`(i_(c ))_(AB) = sin^(-1) ((n_(B))/(n_(A))) rArr (i_(c ))_(AB) = sin^(-1) ((sini_(A))/(sini_(B)))` .