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Question:
Light coming from the bottom of a water tank does not come out of the water.what should be the minimum angle of incident ray for the same
Answer:
If the light coming from bottom of a water tank does not come out of the water surface, it implies that the ray of light has undergone total internal reflection. When a ray of light travelling from a denser medium to a rarer medium is incident at an angle greater than the critical angle for the pair of media in contact, the ray gets totally reflected back into denser medium.
So for the light ray from the bottom of tank to not come out of the water tank, the angle of incidence should be greater than the critical angle for that pair of media. 
The minumum angle of incidence called as the critical angle is related to the refractive index as:
begin mathsize 14px style straight mu subscript water over straight mu subscript air equals fraction numerator 1 over denominator sin space straight C end fraction straight mu subscript water space is space the space refractive space index space of space water space and space straight mu subscript air space is space the space refractive space index space of space air Let space straight mu subscript water space equals 1.33 space and space straight mu subscript air space equals 1 Therefore space : fraction numerator 1.33 over denominator 1 end fraction equals fraction numerator 1 over denominator sin space straight C end fraction rightwards double arrow sin space straight C space equals fraction numerator 1 over denominator 1.33 end fraction equals 0.7519 straight C equals space sin to the power of minus 1 end exponent space left parenthesis 0.75 right parenthesis straight C equals space 48.59 degree end style
So the minimum angle of incidence should be 48.59°

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