Light takes `t_(1)` second to travel a distance x cm in vacuum and the same light takes `t_(2)` second to travel 10x cm in medium. The critical angle for the corresponding medium is

Options

A. `sin^(-1)((x_(2)t_(2))/(x_(1)t_(1)))`
B. `sin^(-1)((x_(1)t_(2))/(x_(2)t_(1)))`
C. `sin^(-1)((x_(1)t_(1))/(x_(2)t_(2)))`
D. `sin^(-1)((x_(2)t_(1))/(x_(1)t_(2)))`

Answer

D

Explanation

`sinC=C_(d)/C_(r)` but `C=("dist")/("time")`