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Answer :
The closest angle of incidence to the given angle of refraction of 34 degrees is -32 degrees.
The angle of incidence can be determined using the law of refraction, also known as Snell's law. This law states that the ratio of the sine of the angle of incidence to the sine of the angle of refraction is equal to the ratio of the speeds of light in the two media. In this case, the media are air and water.
the angle of incidence, we can rearrange Snell's law. Let's assume that the speed of light in air is equal to c and the speed of light in water is equal to v.
The law of refraction can be expressed as
sin(angle of incidence) / sin(angle of refraction) = c / v.
the angle of refraction is 34 degrees. the angle of incidence, we need to rearrange the equation to isolate sin(angle of incidence). The equation becomes
sin(angle of incidence) = (c / v) * sin(angle of refraction).
We don't have specific values for the speeds of light in air and water, so we cannot calculate the exact angle of incidence. However, we can conclude that the angle of incidence will be less than 34 degrees since
sin(angle of incidence) is multiplied by a value less than 1 (c / v).
the closest angle of incidence to the given angle of refraction of 34 degrees is -32 degrees.
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