What would be the radius (φmax, in degrees) of a glass bow? The glass beads have an index of refraction n=1.5. We spread them out on the ground and we observe a glass bow as the sun is high in the sky.

25.5 Formula??

30

22.8

23.5 Pls tell other ans 1,2,4,5,6

To calculate the radius (φmax) of a glass bow, we need to use the concept of the angle of minimum deviation and Snell's law.

Here are the steps to find the radius of a glass bow:

1. Find the angle of minimum deviation (δ) for the specific glass material. The angle of minimum deviation is the angle at which light passing through the material bends the least. This angle can be calculated using the formula:

δ = 2 * arctan(n)

where "n" is the index of refraction of the glass beads.

In this case, since the index of refraction (n) is given as 1.5, you can substitute this value in the formula to find the angle of minimum deviation.

2. Once you have the angle of minimum deviation (δ), you can find the angle of the bow (φmax) by using the following formula:

φmax = 180° - δ

This formula takes into account the nature of light bending and the relationship between the angle of minimum deviation and the maximum angle of the bow.

3. Substitute the calculated values into the formula to find the radius of the glass bow. The formula for the radius (r) of a circular rainbow is:

r = D / (2 * sin(φmax/2))

where "D" is the diameter of the glass beads spread out on the ground.

By following these steps and performing the necessary calculations using the given information, you can determine the radius (φmax) of the glass bow formed by the glass beads under the given conditions.