Agrating with 410 grooves/mm is used with an incandescent light source. assume the visible spectrum to range in wavelength from 400 nm to 700 nm. how many orders can one see the entire visible spectrum

To solve this problem it is necessary to apply the Bragg's law which allows to study the directions in which the diffraction of X-rays on the surface of a crystal produces constructive interference.

Extrapolating the equation and obtaining its mathematical meaning we have to

Where

d = Separation between slits

wavelength

n = Order number representing the number of repetition of the spectrum

Angle between the source and the screen at this case are perpendicular

At the same time we have that the grating for this case is given as

Using the previous equation to find the order number we have that

For the first wavelength

For the second wavelength

Therefore the number of orders in which the visible spectrum exists is

Therefore the number of order can one see the entire visible spectrum 3.

jupiter is the largest planet in our solar system, having a mass and radius that are respectively, 318 and 11.2 times that of earth. suppose that an object falls from rest near the surface of each planet and that the acceleration due to gravity remains constant during the fall. each object falls the same distance before striking the ground. determine the ratio of the time of fall on jupiter to that on earth.