If light travels a distance `x` in `t_(1)` sec in air and `10x` distance in `t_(2)` sec in a medium, the critical angle of the medium will be

Options

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

Explanation

From the formula, `sinC = (1)/(._(1)mu_(2))`
`implies sinC=._(2)mu_(2)`
`therefore (mu_(1))/(mu_(2))=(v_(2))/(v_(1))`
implies `sin C = (10x//t_(1))/(x//t_(1))`
sinC `= (10t_(1))/(t_(2))`
`C = sin^(-1)((10t_(1))/(t_(2)))`