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A glass prism (mu = 1.5) is dipped in w...

A glass prism `(mu = 1.5)` is dipped in water `(mu = 4//3)` as shown in figure. A light ray is incident normally on the surface AB . It reaches the surface BC after totally reflected, if

A

sin`theta ge 8//9`

B

`2//3 lt sin theta lt 8//9`

C

`sin theta le 2//3`

D

it is not possible

Text Solution

Verified by Experts

The correct Answer is:
A

For TIR at face AC
`theta ge i_(c ) `

`rArr " " sin theta ge sin i_(c )`
`rArr " " sin theta ge (1)/(n_(gw))`
`rArr " " sin theta ge (n_(w))/(n_(g)) rArr sin theta ge (8)/(9)` .
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