If light travels at a distance x in time to seconds in air and 10x distance in time `t_(2)` in a certain medium, then find the critical angle of the medium.

Options

A. `sin ^(-1) (( 2 0 t _(1))/( t _(2)))`
B. `sin ^(-1) (( 10 t _(1))/( t _(2)))`
C. `sin ^(-1) ((t_(1))/(t _(2)))`
D. `sin ^(-1) ((t _(2))/( 10 t _(1)))`

Answer

B

Explanation

`mu = ((x)/( t _(1)))/((10x )/( t _(2)))= (t_(2))/(10 t _(1))`
` sin theta _(c) = (1)/(t _(2) // 10 t _(1)) = (10 t _(1))/( t _(2))`
`implies theta _(c) = sin ^(-1) (( 10 t _(1))/(t _(2))).`